In a large university 20 of the students are business majors

In a large university, 20% of the students are business majors. A random sample of 100 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 12 business majors?

c.

What is the probability that the sample contains less than 15 business majors?

d.

What is the probability that the sample contains between 12 and 14 business majors?

Solution

Compute the standard error of the proportion.

1/25=0.04

What is the probability that the sample contains at least 12 business majors?

=0.9772

What is the probability that the sample contains between 12 and 14 business majors?

=0.044

What is the probability that the sample contains less than 15 business majors?

=0.1056