Question

DIRECTIONS: For items 1a-d, use The Binomial Probability Distribution table, to determine the probability for the given Binomial Random Variable, X.

1A. Approximately P = 0.50 of all Americans save quarters that are minted and distributed from the Statehood Commemorative Quarter Collection. Suppose n =2 0 Americans are randomly selected. Find the probability that x =10 Americans collect state quarters (1 pt)

B. A Six Flags Great Adventure Theme Park now offers a wild safari drive-thru with over hundreds of animals roaming freely on a huge acreage. The park claims that the probability of some car damage due to an animal during a safari drive-thru is P = 0.60. Suppose n = 15 cars are randomly selected. Find the probability that x = 11 cars will be damaged during a safari drive-thru (1 pt):

C. Apple claims that for every batch of the new iPhone X shipped to a retail store, only P = 0.01 will be defective. A large retailer receives a shipment of N = 100,000 of the iPhone X from a warehouse. To check Apple’s claim of their new cell phone’s low defectiveness rate, the retailer selects a random sample of n = 20, iPhone X and thoroughly inspects each one. Find the probability that x = 0 of the random sample of n = 20 of the new iPhone X are defective (1 pt):

D. The probability that a randomly selected patient who visits the emergency room (ER) will die within 1 year of the visit is P = 0.05. What is the probability that exactly x = 1 of the n = 10 randomly selected visitors to the ER will die within 1 year? (1 pt)

Answer 1