statistics

Stress on the job is a major concern of a large number of people who go into managerial positions.
It is estimated that 80% of the managers of all companies suffer from job-related stress.
a) What is the probability that in a sample of 200 managers of companies, exactly 150 suffer from
job-related stress?

So,
P(x=150)
and by using the binomial distribution formula i get 0.0149 but my book's answer says its 0.0151
am i doing something wrong?

(n = 200, x = 150, p = 0.8, q = 0.2)

Question

statistics

Stress on the job is a major concern of a large number of people who go into managerial positions.
It is estimated that 80% of the managers of all companies suffer from job-related stress.
a) What is the probability that in a sample of 200 managers of companies, exactly 150 suffer from
job-related stress?

So,
P(x=150)
and by using the binomial distribution formula i get 0.0149 but my book's answer says its 0.0151
am i doing something wrong?

(n = 200, x = 150, p = 0.8, q = 0.2)

dan815 · Answer

first of all we need to know the standard deviation for this sample size

shamil98 · Answer

isn't it just using the binomial distribution formula? neglecting the need to find the st dev

shamil98 · Answer

and even so we have no mean

shamil98 · Answer

wait nvm
mean is
$$\mu = np$$

dan815 · Answer

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