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4. Compute the probability of x successes using the binomial formula . Round your answers to three decimal places as needed . X = 3 , n=8, p=0.62, P(X) =??

X = 3 n=8, p=0.62, P(X) =???

5. JOB elimination , in the past year , 13% of Buisness Have eliminated job's . If 9 Buisnesses are selected At random, Finds the probability That atleast 4 have eliminated jobs during During the last year . Round answer to atleast 4 decimal places .

Answer 1

⊳ The population proportion of success is p = 0.62,

also, 1 - p = 1 - 0.62 = 0.38,

and the sample size is n= 8.

We need to compute Pr(X=3)

This implies that

which means that the probability we are looking for is

Pr(X=3)=0.1058.

⊳ The population proportion of success is p = 0.13,

also, 1 - p = 1 - 0.13 = 0.87,

and the sample size is n= 9.

We need to compute Pr(X≥4)

Therefore, we get that

This implies that

which means that the probability we are looking for is

Pr(X≥4)=0.0209

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