For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years. If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?

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For the same class you were asked to do some research on transfers bt two-year and four-year colleges. According to federal data on the year-round student population, in 2015-16 49% of all students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 years.

If you take a random sample of 10 of these graduates, what is the probability that exactly 4 of them will have been enrolled in a two-year college in the last 10 years?

 

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Let the random variable X denote the no. of students completing a degree at a four-year college had been enrolled in a two-year colleges in the previous 10 year and it follows binomial distribution with parameters (n =10, p = 0.49)

 

The probability mass function of the R.V ‘X’ is given by,

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