A random sample of 250 juniors majoring in psychology or communications at a lar

Question

A random sample of 250 juniors majoring in psychology or communications at a laree is selected. The students are asked whether or not they are happy with their majors following table gives the results of the survey. Assume that none of these 250 students is majoring in both areas 5. The Happy 80 115 Unhappy 20 35 Psychology Communications If one student is selected at random from this group, find the probability that this student is i. Happy with the choice of major ii. A psychology major ili A communications major given that the student is Happy with the choice of major Unhappy with the choice of major given that the student is a psychology major A psychology major and is happy with that major A communications major or is unhappy with his or her major iv. V. vi. 6. The probability that a corporation makes charitable contributions is .72. Two corporations are selected at random, and it is noted whether or not they make charitable contributions. (Hint: drawing a tree diagram might be helpful) Find the probability that at most one corporation makes charitable contributions. Drawing 3 balls with replacement from a box that contains 10 balls, 6 of which are red which are blue, and observing the experiment? 7. and 4 of colors of the drawn balls. Does this represent a binomial

Explanation / Answer

Ans 5

i )

P = 195 /250 = 0.78

ii)

P = 100/250 = 0.4

iii)

P = 115/195 = 0.59

iv)

P = 20/100 = 0.2

v)

P = 80/250 = 0.32

vi)

P = (150+55-35) / 250 = 170/250 = 0.68

PS: We are directed to solve only first if multiple questions are posted

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