Question

In: Statistics and Probability

Let H ≡ the number of punches landed by a boxer on her opponent. If H...

Let H ≡ the number of punches landed by a boxer on her opponent. If H ~ BIN (20, 0.7), what is the probability that the average number of hits by a random sample of 55 boxers is between 13.7 and 14.5?

Expert Solution

SOLUTION-

LET H DENOTE THE NO OF HITS ; H~ BINOMIAL (20,0.7)

MEAN() = 20*0.7 = 14

VARIANCE() = 20*0.7*(1-0.7) = 4.2 . HENCE STANDARD DEVIATION() = 2.05

AS np and n(1-p) >=5, WE MIGHT USE NORMAL APPROXIMATION.

SO, H~ NORMAL (14, 2.05)

SAMPLE SIZE (n) = 55

**REMARK**- IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTION, IF POSSIBLE.

orchestra answered 2 years ago

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