SOLUTION: The number of viewers of American Idol has a mean of 32 million with a standard deviation of 6 million. Assume this distribution follows a normal distribution. What is the

Algebra ->  Probability-and-statistics -> SOLUTION: The number of viewers of American Idol has a mean of 32 million with a standard deviation of 6 million. Assume this distribution follows a normal distribution. What is the       Log On


   



Question 930098: The number of viewers of American Idol has a mean of 32 million with a standard deviation of 6 million. Assume this distribution follows a normal distribution.


What is the probability that next week's show will:

(a)
Have between 38 and 44 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)


Probability

(b)
Have at least 23 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)


Probability

(c)
Exceed 51 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)


Probability

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean = 32 million, SD = 6 million. z+=+blue%28x+-+32%29%2Fblue%286%29
P(38 < x < 44) = P( 1 < z < 2) = normalcdf( 1 , 2) = .1359
P(x ≥ 23) = P( z > -9/6) = normalcdf(-9/6, 100)= .9332
P( x > 51) = P(z > 19/6) = normalcdf( 19/6, 100)= .00077
Using a TI calculator 0r similarly a Casio fx-115 ES plus