Statistics and ProbabilityThe number of viewers of American Idol has a mean of 29 million with a standard deviation of 5 million.
4 weeks ago
The number of viewers of American Idol has a mean of 29 million with a standard deviation of 5 million. Assume this distribution follows a normal distribution. What is the probability that next week’s show will:
Exceed 40 million viewers?
1 Answers
Best Answer
classiceastconcertlatest Staff answered 4 weeks ago
Mean of the number of viewers in American idol is mu = 29 million and the standard deviation is sigma = 5 million. Let x be the number of viewers. X exceeds 40 million P(X>40)=P(X- mu > 40- mu) =P((X- mu)/(sigma)> (40- mu)/(sigma)) =P(z> (40-29)/(5)) =P(z> (11)/(5)) =P(z>2.2) =0.5-P(0<z<2.2) =0.5 - 0.4861 (from Appendix B1.) =0.0139
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