Scott strikes out at bat 36% of the time. Find the probability that he strikes out no more than three times on his next eight times at bat.

68.47%

Step-by-step explanation:

The answer is 68.47%

Solution -

We know that,

The binomial formula is -

P(x) =

where

n is the number of trials

x is the strike out number.

p is the probability of success

q is the probability of failure

Here,

n = 8

p = 36% = 0.36

q = 1 - 0.36 = 0.64

Now,

We want to find the probability that he strikes out no more than 3 times (i.e. <= 3.)

So,

We need to check the cases where x = 0, 1, 2 and 3.

Now,

For x = 0,

P(0) = = (0.64)⁸

P(1) =  = 8×0.35×0.64⁷ .

P(2) =  = 28×0.35² ×0.64⁶ .

P(3) =  = 56×0.35³ ×0.64⁵ .

So,

Probability that he strikes out no more than three times = P(0) + P(1) + P(2) + P(3) = 68.47%

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct

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step-by-step explanation: