A recent survey found that 80% of IRSC students plan to go on a vacation after graduation. Suppose 5 IRSC students are randomly selected and letx

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 ofx

x

. Also, use the binomial probability formula or the binomial probability table to construct thecumulativeprobability distribution ofx

x

.

Round solutions to four decimal places, if necessary.

x

x

P

(

x

)

P(x)

012345x

x

P

(

X

)

x

P(X)x

012345

Calculate the probability that no more than 2 students out of a random sample of 5 students plan to go on vacation after graduation.

P

(

x

2

)

=

P(x2)=

Calculate the probability that more than 2 students out of a random sample of 5 students plan to go on vacation after graduation.