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

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) (Show Source): You can put this solution on YOUR website!
mean = 32 million, SD = 6 million.
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
RELATED QUESTIONS
The number of viewers V(t) in millions to American Idol for the year t years after 2002... (answered by malaydassharma)

Stuck on a word problem: After 5 months, the number of viewers of The Weekly Show on... (answered by josmiceli)

A medical equipment companies had a mean of 60 million dollars with a standard deviation... (answered by Boreal)

Could someone please help me with this maximization problem, specifically the... (answered by Theo)

Assume that the weekly demand for Ford car sales follows a normal distribution with mean... (answered by stanbon)

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2... (answered by VFBundy)

Major league basket ball salaries averaged R3,26 million with a standard deviation of... (answered by Boreal)

The average base salaries of ten random basketball players was $4.5 million and a... (answered by Fombitz)

Two of the most watched episodes in television were the final episodes of television... (answered by Alan3354)