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What’s the probability of getting exactly one up? What’s the probability of gett

ID: 3071080 • Letter: W

Question

What’s the probability of getting exactly one up? What’s the probability of getting at least one up? (One or more ups?) What’s the probability of getting at most one up? (One or fewer ups) YM HW Score: 0 of 1 pt 18 of 19 (17 complete) Score: 65.61 %, 12.47 of 19 pts 5.2.43 EQuestion Help When a certain type of thum tack is tossed, the probablity that it lands tip up is 80% All possible outcomes when two th tip is Up and D means the tip is Down, Complete parts (a) through (d) below blacks are tossed are listed. U means the UD DU a. What is the probability of getting two Ups? Pttwo Ups)- (Round to two decimal places as needed.)

Explanation / Answer

18)

P(getting a tip up) = 0.8

a)

P(getting two ups) = P(UU) = (0.8)(0.8) = 0.64

b)

P(getting exactly one up) = P(UD) + P(DU) = (0.8)(1-0.8) + (1-0.8)(0.8) = 0.16 + 0.16 = 0.32

c)

P(at least one up) = 1 - P(no up) = 1 - P(DD) = 1 - (1-0.8)(1-0.8) = 1 - (0.2)(0.2) = 1 - 0.04 = 0.96

d)

P(getting at most one up) = 1 - P(two ups) = 1 - (0.8)(0.8) = 1 - 0.64 = 0.36

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