Question 2 1.5 points A report on high school graduation stated that 85% of high school students graduate. Suppose 6 high school students are randomly selected from different schools. What is the probability that all graduate? A. 0.99411 What is the probability that exactly three of the six B. 5.100 graduates? C. 0.875 - What is the probability that at least three of the six D. 0.04734 graduates? E. 0.3771 - What is the probability that at most three of the six graduates? F. 0.04145 What is the Expected value of the graduates? - What is the Standard deviation of the graduates?Quastlon 3 1.5 points Save Answer Thirty percent of all customers who enter a store will make a purchase. Suppose that six customers enter the store and that these customers make independent purchase decisions. Let x be the number out of the 6 customers who will make a purchase. Binomial distribution 6 n 0.3 p cumulative X P(X) probability 0 0.11765 0.11765 1 0.30253 0.42018 2 0.32414 0.74431 3 0.18522 0.92953 4 0.05954 0.98906 5 0.01021 0.99927 6 0.00073 1.00000 1 .00000 . v The probability that exactly ve customers make a purchase. A. 1.8 . v The probability that at least three customers make a purchase. B. 1122 C- 0.88235 - v The probability that two or fewer customers make a purchase D 0 74431 - V The probability that at least one customer makes a purchase E. 0.25569 - v What is the expected value of the number of customers who F. 001021 makes a purchase . v what is the standard deviation of the number of customers Who makes a purchase Question 4 The price of a stock is uniformly distributed between $30 and $50. What is the probability that the stock price will be more than A. 5.77735 $40? B. 0.5 What is the probability that the stock price will be less than or equal to $35? C. 40 What is the probability that the stock price will be between D. 0.0590 $35 and $45? E. 5.90 Determine the expected price of the stock. F. 0.75 Determine the standard deviation for the stock price.Question 5 1.5 points Save Answer During the past six months, 73.2 percent of US households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1 .10. - V Find the probability that a household spent less than $5.00 A- 0.0528 on sugar. B. 9.144 - V Find the probability that a household spent more than c $10.00 on sugar. '0-0017 - V What proportion of the households spent between $5.00 [110-783 and $9.00 on sugar? E_ 0 7592 - V 99% of the households spent less than what amount ? F. 1 474 - V 80% of the households spent more than what amount? - V Calculate the IQR of the household expenditure. QUESCIOI'I 5 1 points Save Answer Weekly demand at a grocery store for a brand of breakfast cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes. V What is the probability that weekly demand is less than 959 A- 0.003 boxes? 3- 0.893 V What is the probability that weekly demand is more than 1,004 boxes? C' 0'95"\" V What is the probability that weekly demand is between 650 boxes 0' 947 and 950 boxes? V If the store orders cereal from a distributor weekly. How many boxes should the store order for a week less than 975 percent needed of this brand of cereal during the week