Question

11. Henry had a batting average of

Answer 1

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)

What is Binomial distribution?

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= $C^{n}_r\; p^{r} \;q^{(n-r)$

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= $C^{n}_r\; p^{r} \;q^{(n-r)$

                 =$\frac{n!}{r!(n-r)!} p^{r}\; q^{(n-r)}$

                 = $\frac{20!}{8!(20-8)!} (0.34)^{8}\; (0.66)^{(20-8)}$

                = 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:

brainly.com/question/16934457

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