asked 67.6k views
3 votes
Jon's experimental

probability of striking out at

baseball is 13%. Out of 30 times at bat, about

how many times will

she strike out?

asked
User Koenyn
by
8.1k points

1 Answer

2 votes

Answer: If Jon's experimental probability of striking out at baseball is 13%, we can assume that the probability of Jon not striking out is 1 - 0.13 = 0.87.

Now, we can use the binomial probability formula to calculate the probability of Jon striking out k times in n trials, where n = 30 and p = 0.13:

P(k strikes) = (n choose k) * p^k * (1-p)^(n-k)

We want to find the expected number of times Jon will strike out, which is given by the formula:

E(X) = n * p

So, substituting the values we get:

E(X) = n * p = 30 * 0.13 = 3.9

Therefore, Jon is expected to strike out about 3.9 times out of 30 times at bat. Since we cannot have a fractional number of strikeouts, we can round off the answer to the nearest whole number, which gives us 4 as the expected number of strikeouts.

answered
User Sjbuysse
by
8.8k points
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