1:57 PM myasucourses.asu.edu .11 Sprint QUIZ #6-PROBABILITY NAME: Show your work

Question

1:57 PM myasucourses.asu.edu .11 Sprint QUIZ #6-PROBABILITY NAME: Show your work and box your final answers 1) According to your parents, there is a 65% chance of having a family trip to Europe this summer and a 40% chance of moving to New York over the summer. There is also a 12% chance that both will occur. [Consider a Venn Diagram ) What is the probability of neither event happening? b) What is the probability of exactly one of the two events happening? 2) A coin is tossed S times. (Express both answers as a fraction in lowest terms) a) What is the probability of getting exactly 4 Heads? b) What is the probability of getting ot most 4 Heads? 3) A computer retail store has 12 personal computers in stock. As it turns out, 4 of the computers are defective. A customer enters the store and purchases 3 random computers. (Round your answer to three decimal places What is the probability that exactly one of the purchased computers is defective?

Explanation / Answer

As per the Chegg policy, we are advised to do one question at a time so i am attempting the 1st one.

1 a) P(Neither event happening)

= 1 - P(At least one of events happened)

= 1 - [P(Europe Trip) + P(Moving to New York) - P(Both)]

= 1 - [0.65 + 0.40 - 0.12]

= 1 - 0.93

= 0.07

1 b) P(Exactly one of the two events happening)

= (P(Europe Trip) - P(Both)) + (P(Moving to New York) - P(Both))

= (0.65 - 0.12) + (0.40 - 0.12)

= 0.53 + 0.28

= 0.81

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