Find the indicated probability. 6) Find P(A and B) given that P(A) - 0.2, P(B)-0

Question

Find the indicated probability. 6) Find P(A and B) given that P(A) - 0.2, P(B)-0.4, and A and B are independent. 7) Suppose that the sample space is S (a, b, c, d, e, f, g, hl and that outcomes are equally likely. Find the probability of the event E - (b, f, h). Provide an appropriate response. 8) According to insurance records a car with a certain protection system will be recovered 91% of the time. Find the probability that 5 of 6 stolen cars will be recovered. A) 0.337 B) 0.09 C) 0.833 D) 0.91

Explanation / Answer

6) P(A and B) = P(A) * P(B) if A and B are independent
= 0.2*0.4 = 0.08
7) there are 8 elements in S ,
all are equally likely, hence Probability of any event is 1/8
E has 3 elements
hence P(E) = 3/8
8) p = 0.91, n = 6
P(X = 5) = 6 * 0.91^5 *0.09 =0.336977
A) 0.337 is correct

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