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In a large university, 10% of the students are engineering majors. A random sample of 80 students is selected, and their majors are recorded. a)

In a large university, 10% of the students are engineering majors. A random sample of 80 students is selected, and their majors are recorded.

a) Compute the standard error of the proportion.

b) What is the probability that the sample contains at least 8 engineering majors?

c)What is the probability that the sample contains less than 11 engineering majors?

d)What is the probability that the sample contains between 12 and 14 engineering majors?

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