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A random sample of 125 students is taken from the population of all part-time students in...

A random sample of 125 students is taken from the population of all part-time students in the United States, for which the overall proportion of females is 0.6.  Calculate the probability that between 70 and 90 or more part-time students are female, inclusive. (3 decimal places)

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Answer #1

Let X is a random variable shows the number of part time students who are female. Here X has binomial distribution with parameters n=125 and p =0.6. The probability that between 70 and 90 or more part-time students are female, inclusive is

The excel function for calculating above probability is "=BINOMDIST(90,125,0.6,TRUE)-BINOMDIST(69,125,0.6,TRUE)"

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The required TI84 function is:

Goto - > 2nd - > VARS - > binomcdf.

Enter command as follows:

binomcdf(125, 0.6,90)-binomcdf(125, 0.6,69)

Following is the screen shot:

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