Question

In: Statistics and Probability

Suppose a simple random sample of 90 students from this district is selected. What is the...

Suppose a simple random sample of 90 students from this district is selected. What is the probability that at least half of them have brown eyes? (Use technology. Round your answer to three decimal places.)

Brown eyes is 40%

I got 0.026 as my answer but the program is saying it is wrong, can someone figure out the correct answer please

Solutions

Expert Solution

If X be the number of students having brown eyes from these 90 samples .

THen X~ Bin ( n=90 , p = 0.40 )

So , we have to find

  

I am using MINITAB to calculate the above . if you need in other softwares let me know below .

Steps :

and output is :

Binomial with n = 90 and p = 0.4

x P( X <= x )
44 0.965347

So,

EXCEL :


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