The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between

0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greaterthan 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greaterthan 4.25 minutes. enter your response here

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

z 0.2266 0 A symmetric bell-shaped curve is plotted over a horizontal scale with two labeled coordinates. One coordinate is labeled "0" and is located at the center and peak of the curve. The other coordinate is labeled "z," and is to the left of 0. A vertical line extends from the scale to the curve at z. The area under the curve to the left of z is shaded and labeled "0.2266."

The indicated z score is enter your response here.

Find the indicated critical value. z0.11

z0.11=enter your response here

Negative z Scores Standard Normal (z) Distribution: Cumulative Area from the Left z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 negative 3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010 -2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019 -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064 -2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 -1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233 -1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294 -1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367 -1.6 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0465 .0455 -1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 -1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 -1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379 -0.9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611 -0.8 .2119 .2090 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867 -0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148 -0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451 -0.5 .3085 .3050 .3015 .2981 .2946 .2912 .2877 .2843 .2810 .2776 -0.4 .3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 -0.3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483 -0.2 .4207 .4168 .4129 .4090 .4052 .4013 .3974 .3936 .3897 .3859 -0.1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 .4286 .4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641 Note: For values of z below -3.49, use 0.0001 for the area. *Use these common values that result from interpolation: z score Area -1.645 0.0500 -2.575 0.0050

Positive z Scores Standard Normal (z) Distribution: Cumulative Area from the Left z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 .7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015 1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177 1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319 1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441 1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545 1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633 1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706 1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767 2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817 2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857 2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890 2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916 2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936 2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952 2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964 2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974 2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981 2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986 3.00 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990 3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993 3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995 3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998 3.50 and up .9999 Note: For values of z above 3.49, use 0.9999 for the area. *Use these common values that result from interpolation: z score Area 1.645 0.9500 2.575 0.9950 Common Critical Values Confidence Level Critical Value 0.90 1.645 0.95 1.96 0.99 2.575

USE tablets above for this next question..

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

75 120 A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 120.

The area of the shaded region is enter your response here.

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

x 0.1151 A symmetric bell-shaped curve is plotted over a horizontal scale. A vertical line runs from the scale to the curve at labeled coordinate x, which is to the right of the curve's center and peak. The area under the curve to the right of the vertical line is shaded and labeled 0.1151.

indicated IQ score is enter your response here.

A survey found that women's heights are normally distributed with mean 63.3in. and standard deviation 2.8in. The survey also found that men's heights are normally distributed with mean 69.6in. and standard deviation 3.2in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57in. and a maximum of 62in.

a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?

The percentage of men who meet the height requirement is enter your response here%

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all adults. (Accommodating 100% of adults would require very wide seats that would be much too expensive.) Assume adults have hip widths that are normally distributed with a mean of 13.7in. and a standard deviation of 0.8in. Find P99. That is, find the hip width for adults that separates the smallest 99% from the largest 1%.

What is the maximum hip width that is required to satisfy the requirement of fitting 99% of adults? enter your response here in.

Assume a population of 43, 49, 52, and 59. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples.

43,43	43,49	43,52	43,59	49,43	49,49	49,52	49,59
52,43	52,49	52,52	52,59	59,43	59,49	59,52	59,59

a. Find the median of each of the sixteen samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.

Sample Median	Probability	Sample Median	Probability
		enter your response here		76.5 51 102	enter your response here
	67.5 46 92	enter your response here		52 104 78.5	enter your response here
	70.5 47.5 95	enter your response here		80.5 54 108	enter your response here
	49 73.5 98	enter your response here		111 83.5 55.5	enter your response here
	73.5 101 50.5	enter your response here		88.5 59 118	enter your response here

Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n=15,

are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain.

Choose the correct answer below.

A.Yes; the sample size must be over 30 for the sample means to be normally distributed.

B.No; as long as more than 30 samples are collected, the sample means will be normally distributed.

C.No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.

D.No; the original population is normally distributed, so the sample means will be normally distributed for any sample size.

Assume that females have pulse rates that are normally distributed with a mean of =74.0 beats per minute and a standard deviation of =12.5 beats per minute. Complete parts (a) through (c) below.

a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 78 beats per minute.

The probability is enter your response here

An airliner carries 100 passengers and has doors with a height of 76in. Heights of men are normally distributed with a mean of

69.0in and a standard deviation of 2.8in. Complete parts (a) through (d).

a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.

The probability is enter your response here.

Use a calculator or computer software to generate a normal quantile plot for the data in the accompanying table. Then determine whether the data come from a normally distributed population.

Space Flight Durations (hours) 283, 176, 255, 120, 94, 333, 216, 176, 237, 381, 123, 215, 161, 215, 0, 311, 263, 247, 118, 175, 60, 139 292, 377, 225, 423, 239, 197, 263, 197, 189, 339, 240, 129, 306, 237, 202, 353, 136, 264

Generate a normal quantile plot for the data. Choose the correct graph below.

A.1002003004005000-3.00-2.00-1.000.001.002.003.00XValue

A normal quantile plot with horizontal x-scale labeled from 0 to 500 in increments of 100 and vertical scale labeled from negative 3.00 to 3.00 in increments of 1.00 contains a straight line, rising from left to right, that passes through (0, negative 2.4) and (400, 2). 40 points are plotted with horizontal coordinates from 0 to 440, with more points closer to the center of the range than to the edges of the range. Most of the points are within 0.1 vertical unit of the line. All values are approximate.

B.1002003004005000-3.00-2.00-1.000.001.002.003.00XValue

A normal quantile plot with horizontal x-scale labeled from 0 to 500 in increments of 100 and vertical scale labeled from negative 3.00 to 3.00 in increments of 1.00 contains a straight line, rising from left to right, that passes through (0, negative 1.7) and (400, 1.5). 40 points are plotted with even horizontal spacing from 0 to 440 and closely follow the pattern of a curve that from left to right rises at an initially fast but decreasing rate from (5, negative 2.2) to (215, 0), then rises at an increasing rate to (435, 2.2). All of the points are within 0.4 vertical unit of the line. From left to right, the first 3 points are below the line, the next 12 points are above the line, the next 23 points are below the line, and the next 2 points are above the line. All values are approximate.

C.1002003004005000-3.00-2.00-1.000.001.002.003.00XValue

The value given below is discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.

Probability of fewerthan 4 passengers who do not show up for a flight

Choose the correct answer below.

A. The area between3.5and4.5

B. The area totherightof4.5

C. The area totheleftof3.5

D. The area totheleftof4.5

E. The area to the right of 3.5

Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 172 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted. Probability that fewer than 44 voted.

The probability that fewer than 44 of 172 eligible voters voted is enter your response here.

In a survey of 1008 people, 678 people said they voted in a recent presidential election. Voting records show that 64% of eligible voters actually did vote. Given that 64% of eligible voters actually did vote, (a) find the probability that among 1008

randomly selected voters, at least 678 actually did vote. What do the results from part (a) suggest?

(a) P(X678)=enter your response here