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b, Let Fbethe-that, roll of the two dleton,sm.\'y9 Which event is hore.lihel aro

ID: 2926435 • Letter: B

Question

b, Let Fbethe-that, roll of the two dleton,sm.'y9 Which event is hore.lihel aroll of the two dice totals 7-OR -pla- DS5-1.h3,4H,H-5 12 points) Choose an American household at randoem, and let the random variable Xbe the umber of cars (inctuding SUVs and light trucks) the residents own. Here is the robability model if we ignore the few households that own more than six cars Number of cars X Probability |0.09 0.33 0.36 0.14 0.05 0.02 0.01 CALCULATIONS a. If this is a valid probability model, what must the probabilities sum to? Verify this b. Describe in words the event P(K s 2). What is the probability of this event? Write the event "a household has this event? more than 3 cars" in terms of values of x. what is the probability c.

Explanation / Answer

B) The event is the house holds have at most two cars.

P(X < 2) = P(x = 0) + P (X = 1) + P(X =2)

= 0.09 + 0.33 + 0.36 = 0.78

C) a house hold has more than 3 cars = X > 3

P(X > 3) = P(X = 4) + P(X = 5) + P( X = 6)

= 0.05 + 0.02 + 0.01 = 0.08