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28 Oct 2021

Given information

 

More than 96% of the 15000 or so universities offer online courses. Out of this, a random sample of 13 universities is chosen and surveyed for whether they have online courses.

The random variable X representing the number of universities that offer online courses among the sample of 13 chosen universities follows a binomial distribution with n=13 and p=0.96.

Step-by-step explanation

Step 1.

The required probability is expressed as and can be found using the binomcdf function in the calculator.

Since n=10, p=0.96 and number of successes x=10, input binomcdf(13,0.96,10) in the calculator to get the answer which is 0.01354.

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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