1. For a standard normal distribution, find: P(z < c) = 0.9896 Find c rounded to two decimal places.

2. For a standard normal distribution, find: P(z > c) = 0.1374 Find c rounded to two decimal places.

3.About what percentage % of the area under the curve of the standard normal distribution is between z=1.655z=-1.655 and z=1.655z=1.655 (or within 1.655 standard deviations of the mean).

4. The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is more than 50.5 min. P(X > 50.5) = (Report answer accurate to 2 decimal places.)

5. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.2 years, and standard deviation of 1.6 years. If you randomly purchase one item, what is the probability it will last longer than 6 years?

6. A particular fruit's weights are normally distributed, with a mean of 287 grams and a standard deviation of 17 grams. If you pick one fruit at random, what is the probability that it will weigh between 236 grams and 267 grams

7.A particular fruit's weights are normally distributed, with a mean of 284 grams and a standard deviation of 32 grams. The heaviest 13% of fruits weigh more than how many grams? Give your answer to the nearest gram.

8. A distribution of values is normal with a mean of 164.5 and a standard deviation of 36.5. Find P₆₁, which is the score separating the bottom 61% from the top 39%. P₆₁ = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

9.The combined SAT scores for the students at a local high school are normally distributed with a mean of 1530 and a standard deviation of 295. The local college includes a minimum score of 822 in its admission requirements. What percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X < 822) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

10. A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1023 and a standard deviation of 197. Scores on the ACT test are normally distributed with a mean of 20.4 and a standard deviation of 3.8. It is assumed that the two tests measure the same aptitude, but use different scales. If a student gets an SAT score that is the 43-percentile, find the actual SAT score. SAT score = Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = Round answer to 1 decimal place. If a student gets an SAT score of 1456, find the equivalent ACT score. ACT score = Round answer to 1 decimal place.

11.Scores for a common standardized college aptitude test are normally distributed with a mean of 499 and a standard deviation of 103. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 580.8. P(X > 580.8) = Enter your answer as a number accurate to 4 decimal places. If 7 of the men are randomly selected, find the probability that their mean score is at least 580.8. P(M > 580.8) = Enter your answer as a number accurate to 4 decimal places.

12.A population of values has a normal distribution with =192.7=192.7 and =28.6=28.6. You intend to draw a random sample of size n=76n=76. Find the probability that a single randomly selected value is less than 202.5. P(X < 202.5) = Find the probability that a sample of size n=76n=76 is randomly selected with a mean less than 202.5. P(M < 202.5) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

13.A population of values has a normal distribution with =228.6=228.6 and =8.5=8.5. You intend to draw a random sample of size n=204n=204. Find P₁₃, which is the score separating the bottom 13% scores from the top 87% scores. P₁₃ (for single values) = Find P₁₃, which is the mean separating the bottom 13% means from the top 87% means. P₁₃ (for sample means) = Enter your answers as numbers accurate to 1 decimal place. ************NOTE************ round your answer to ONE digit after the decimal point! *********** Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

14. The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 62 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 62 and 86? Do not enter the percent symbol. ans = %