The table below shows the soft drink preferances of the peop

The table below shows the soft drink preferances of the people in three age groups. If one of the subjects is randomly selected, find the probability that the person is over 40. If one of the subject is randomly selected, find the probability that the person is over 40 given that he or she drinks cola. If one of the subjects is randomly selected, find the probability that the person does NOT drink lemon-lime. Suppose that two subjects are randomly selected. Find the prbability that they both perfer root beer (assme that these events are independent). It is known that 2 percent of the books bound at a certain bindery have defective bindings. Find the prbability that 5 of 400 books bound by this bianary have defective bindings.

Solution

40

25

20

85

35

20

30

85

20

30

35

85

95

75

85

255

3).

P=0.02

n=400

x=5

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P(X=5) = (₁₀₀C₅) 0.02⁵ (1-0.02)^100-5   

P(X = 5) = 0.0911

40	25	20	85
35	20	30	85
20	30	35	85
95	75	85	255