Quiz: Q 08 This Question: 1 pt Submit Quiz 2018(0 complete) l > This Quiz: 8 pts
ID: 3315797 • Letter: Q
Question
Quiz: Q 08 This Question: 1 pt Submit Quiz 2018(0 complete) l > This Quiz: 8 pts possibl A lotery game asks gamblers to pick a number betweon 30 and 130. If a gambler picks the right number, the gambler wins $500. E numbers has an equal chance of being the winning number. a what is the probability that the winning number will be 807 Round your ans orto4de imal places b. What c what is the mean value of the winning number? Round your answer to 1 decimal place. d. What tis the probability that the winning number will be between 42 and 11 inclusively? Round your answer to 4 decimal places . is the variance of the winning number?(Round your answer to 3 decimal places)Explanation / Answer
a) P(Exactly 80) = 1/(130 - 30 + 1) = 1/ 101 = 0.0099
b) P(42 < X < 118) = (118 - 42)/ (130 - 30) = 19/25 = 0.76
c) Mean = (30 + 130)/2 = 160/2 = 80
d) Variance = (130 - 30)2 / 12 = 1002 / 12 = 833.333
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