In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines five...

In a lot of 50 light bulbs, there are 2 bad bulbs. An inspector examines

five bulbs, which are selected at random and without replacement.

(a) Find the probability of at least one defective bulb among the five.

(b) How many bulbs should be examined so that the probability of finding at least

one bad bulb exceeds 1/2 ?

Q5 Consider the events C1, C2, C3.

(a) Suppose C1, C2, C3 are mutually exclusive events. If P(Ci) = pi, i = 1, 2, 3,

what is the restriction on the sum p1 + p2 + p3+ p4?

(b) In the notation of part (a), if p1 = 4/10, p2 = 3/10, and p3 = 5/10, are

C1, C2,C3,C4 C3 mutually exclusive?

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orchestra answered 1 year ago

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