8. Calculate the probability that the price lies within 1.5 standard deviations of the mean.
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- The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a standard deviation of .7 hours. i. What is the probability that an adult watches more than 3.5 hours in a day?Calculate the z-score. Draw a diagram, Then find the probability.ii. What is the probability that a person watches between 2 and 3 hours of TV a day? Write the probability notation. Calculate the z-score. Draw a diagram. then you may find the probability.iii. What is the 40th percentile for the number of hours an adult watches TV in a day?Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have BLUE eyes. Three randomly selected Americans are selected and examined for eye color. If you let success correspond to an American having BLUE eyes, calculate the following. Calculate the standard deviation.
- Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.5. The heights of NBA basketball players closely follow a Normal distribution with a mean of u = 79 inches and a standard deviation of 0.5 inches. Randomly choose one NBA basketball player and call his height H. Find the probability that the randomly selected basketball player is shorter than 72 inches. (Be sure to: define your variable, put the probability in proper notation, and draw a picture before calculating the probability).answer either [O] (true) or [X] (false) and explain. Mona gets 80 in both her math and her English class. Both course marks are normally distributed and have the same mean of 75. However, the standard deviation is higher in math than that in English. Therefore, Mona is placed at a higher percentile in English than in math.
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- Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of 64 inches, and the standard deviation is 2.5 inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of 73 inches and a standard deviation of 2 inches. a. What women's height corresponds to a z-score of −1.80? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women's league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men's league). Compared to his or her peers, who is taller?A bank manager is reviewing the services of the customer hotline. From E. past records, the mean and the standard deviation of the waiting times are 2 min and 0.5 min, respectively. Assume that the waiting time is normally distributed. 11. Find the probability that a caller has to wait more than 3 min before the call is answered. 12. The bank improves the hotline service by reducing the mean waiting time to 1.5 min and the standard deviation to 0.3 min. The bank claims that over 85% of the customers will wait less than 100 s for the service. Do you agree with the claim? Briefly explain your answer.1. In a sentence or two, explain what a sampling distribution is. 2. In a sentence or two explain how the standard error of the mean is similar to the standard deviation.
