Quiz #10 Name: I. The National institute of Mentai Health reports that there is a 30% chance of an aduit American suffering from a psychiatric disorder Three randomly selected adult Americans are examined for a Psychiatric disorders. a If you let a success correspond to an aduit American having a psychiatric disorder, what is the SUCcess probability, p? (Note: The use if the word success in Bernaulli triais need nor reflect its usually positive connotation.) PISuccess naving the psychiatric disorder) bConstruct a probability distribution table for three people examined using Binomial distribution. Let X be the number of adults who are suffering from the psychiatric disorder 1 2 Total Prob Determine the mean and variance for the distribution. c)

You toss two six-sided dice. What is the probability that the total of the two dice is 5?

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.

You draw one card at random from a standard deck of 52 playing cards. What is the probability that the card is either an ace or a spade?