1-A real estate investor is considering purchasing a property that could result in multiple outcomes. She antipicates that there is a 45% chance of flipping the property for a net profit of $27,000, a 30% chance of a net loss of $14,000 and a25% chance of breaking even. Determine the expected value.

2-Assume that when adults with smartphones are randomlyselected, 46% use them in meetings or classes. If 5 adult smartphone users are randomlyselected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is

(Round to four decimal places asneeded.)

3- A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 8 randomly selected consumers.

What is the probability that at least 7 of the selected consumers recognize the brandname?

The probability that at least 7 of the selected consumers recognize the brand name is ?

(Round to three decimal places as needed.)

4- Assume that random guesses are made for eight multiple choice questions on an SATtest, so that there are = 8 trials, each with probability of success(correct) given by = 0.3. Find the indicated probability for the number of correct answers.

Find the probability that the number x of correct answers is fewer than 4

P(x<4)=

(Round to four decimal places asneeded.)

5-According to a collegesurvey, 16% of all students work full time. Find the mean for the number of students who work full time in samples of size 21. Round to the nearest hundredth.

6- Use the Poisson Distribution to find the indicated probability.

If the random variable x has a Poisson Distribution with mean = 3, find the probability that x= 5. Round to five decimal places.

P(5)=

7- If z is a standard normalvariable, find the probability.

P(z > 1.84)

(Round your answer to four decimalplaces.)

8- If z is a standard normalvariable, find the probability.

The probability that z lies between negative 2.33 and 1.91

(Round your answer to four decimalplaces.)

9- Engineers want to design seats in commercial aircraft so that they are wide enough to fit 90% of all males.(Accommodating 100% of males would require very wide seats that would be much tooexpensive.) Men have hip breadths that are normally distributed with a mean of 14.1in. and a standard deviation of 0.8 in. Find Upper P90. Thatis, find the hip breadth for men that separates the smallest 90% from the largest 10%.

The hip breadth for men that separates the smallest 90% from the largest 10% is Upper P90=

10- Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard deviation of 20.7. Find the probability that a randomly selected adult has an IQ greater than 131.7.

The probability that a randomly selected adult from this group has an IQ greater than 131.7 is?

11- Assume thatwomen's heights are normally distributed with a mean given by mu equals =64.3in, and a standard deviation given by sigma equals =2.3in. If 39 women are randomlyselected, find the probability that they have a mean height less than 65 in. The probability is approximately

(Round to four decimal places asneeded.)

12- The overhead reach distances of adult females are normally distributed with a mean of 197.5cm and a standard deviation of 8.3cm. Find the probability that the mean for 25 randomly selected distances is greater than 196.00 cm. The probability is? (Round to four decimal places asneeded.)

13- Use the sample data and confidence level given below.

A research institute poll asked respondents if they felt vulnerable to identity theft. In thepoll, n equals n=913 and x equals x=555 who said"yes." Use a 95% confidence level.

Identify the value of the margin of error E.

(Round to four decimal places asneeded.)

14- A drug is used to help prevent blood clots in certain patients. In clinicaltrials, among 4153 patients treated with thedrug, 133 developed the adverse reaction of nausea. Construct a 99% confidence interval for the proportion of adverse reactions.

Construct the confidence interval. ____ < P<___

(Round to three decimal places as needed.)

15-Determine the margin of error for a confidence interval to estimate the population mean with =24 and s= 11.8 for the confidence level below. Assume the population is normally distributed. The margin of error for a 90% confidence interval is ? (Round to two decimal places asneeded.)

14- A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3F and a standard deviation of 0.69F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans.

What is the confidence interval estimate of the population mean ?

15-An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 8 IQ points of the true mean. Assume that sigma =18 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is ? (Round up to the nearestinteger.)

16-Find the critical values 2L and 2R for the given confidence level c and sample size n. c =0.95, =27

x^2L= (Round to three decimal places asneeded.)

x^2L= (Round to three decimal places asneeded.)

17- Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1227 adults, 83% said that they have a cell phone. Find the value of the test statistic.

The value of the test statistic is? (Round to two decimal places asneeded.)

18- Claim: The mean pulse rate(in beats perminute) of adult males is equal to 69 bpm. For a random sample of 142 adultmales, the mean pulse rate is 70.2 bpm and the standard deviation is 10.6 bpm. Find the value of the test statistic. The value of the test statistic is ? (Round to two decimal places asneeded.)