A recent survey found that 30% of IRSC students plan to go on a vacation after graduation. Suppose 5 IRSC students are randomly selected and let xx be the number of students that plan to go on a vacation after graduation, out of the sample of 5. Use the binomial probability formula or the binomial probability table to construct the probability distribution of xx. Also, use the binomial probability formula or the binomial probability table to construct the cumulative probability distribution of x.

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A recent survey found that 30% of IRSC students plan to go on a vacation after graduation. Suppose 5 IRSC students are randomly selected and let xx be the number of students that plan to go on a vacation after graduation, out of the sample of 5. Use the binomial probability formula or the binomial probability table to construct the probability distribution of xx. Also, use the binomial probability formula or the binomial probability table to construct the cumulative probability distribution of x. 

 

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Let X be  the number of students that plan to go on a vacation after graduation. 

The probability of students that plan to go on a vacation after graduation is p= 0.30

n= 5 sample size of students 

The random variable X has binomial distribution with parameters n= 5 and p= 0.30

The formula for binomial distribution is 

P(X=x) =nxpx(1-p)n-x        x=0,1,2,3,4,5

 

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