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Question 12: In a survey of adult women, 40% respondents said they have tried different diets in their lifetime. Suppose this result is true for the current population of adult women. A random sample of 15 adult women is selected. Use the attached binomial distribution table to find the probability that the number of women in this sample who have tried different diets in their lifetime is: a) Exactly 5 b) At most 2 ) Calculate mean and variance for the number of women who have tried different diets in their lifetime. Question 13; Find the area under the standard normal curve to the right of z = -1.35. Question 14: Find the value of z such that the area under the standard normal curve to the left of z is 0.9948. Question 15: It is found that the height of all basketball players in the National Basketball Association (NBA) is normally distributed with a mean of 192 cm and a standard deviation of 25 cm. a) Find the percentage of basketball players whose height is more than 180 cm. b) Anthony Davis is one of the famous basketball players in the NBA. It is found that the height of 73.89% of basketball players is less than Anthony's height. What is the height of Anthony Davis? Question 16: A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows