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The probability of getting exactly 8 hits in his next 20 at-bats is 0.153 (Round off to the nearest thousandth.).
The correct option is (c)
<h3>What is Binomial distribution?</h3>Binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
Probability=
where, n= number of trial,
r= number of success desire,
p= probability of success,
q= probability of Failure
probability of success = 0.34
To find the probability of winning exactly 8 hits in next 20 at-bats we find
dbinom (8, 20, 0.34)
Since p= 0.34
q= 1-p
= 1-0.34
= 0.66
n= 20, r=8
Using Binomial Distribution, we get
Probability=
=
=
= 125970 x 0.0001785794 x 0.00683168
= 0.1536830
≈ 0.153 (Round off to the nearest thousandth.)
Hence, the probability of getting exactly 8 hits in his next 20 at-bats is 0.153.
Learn more about Binomial Distribution here:
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Check the picture below
notice, the "a" side goes from -2 to 11
and the "b" side goes from 2 down to -4
notice, the "a" side goes from -2 to 11
and the "b" side goes from 2 down to -4