Question

In: Statistics and Probability

If the probability that a bowler will bowl a strike is 0.7, what is the probability...

If the probability that a bowler will bowl a strike is 0.7, what is the probability that he will get exactly four strikes in eight attempts? At least four strikes in eight attempts? (Assume that the attempts to bowl a strike are independent of each other. Round your answers to three decimal places.)

exactly four strikes

at least four strikes

Expert Solution

A bit theory

Here by the problem the probability that a bowler will bowl a strike is 0.7 and we also assume that the attempts to bowl a strike are independent of each other. So for each strike we can assume the bowler will bowl as success of a Bernoulli trial. So now if we consider 8 attempts then the number of such independent Bernoulli trials be n=8. Hence if X denote the number of strikes then clearly,

X~Binomial(8,0.7)

Hence the probability that he will get exactly four strikes in eight attempts

=P(X=4)

On the other hand the probability that he will get at least four strikes in eight attempts

Hence the answer...........

Thank you..............

orchestra answered 2 years ago

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