Question

The probability that a student will move away from home after transferring to a 4-year institution is 35%. If 4 students are randomly selected, compute the following probabilities 3) All four students move away from home. None of the four students move away from home. At least one of the students moves away from home. a. b. c. There are two identical bottles. One bottle contains 4 green balls and 2 red balls. The other contains 6 green ball and 3 red balls. A bottle is selected at random and a single ball is drawn. What is the probability that the ball is green? Hint: use a tree diagram. 4)

Answer 1

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p(move away) = .35

n = 4

a. P(all 4 move away from home) = 4C4*(.35^4)*(.65^0) = .35^4 = 0.01501

b. P(none of 4 students move away from home) = 4C0*(.35^0)(.65^4) = 0.1785

c. P(at-least one of the students moves away from home) = P(X>=1) = 1-P(X<1) = 1-P(X=0) = 1- .1785 = .8215