Question
no one can seem to get the right answer! Can you??? need help!!
Chapter 5-18SP STATISTICS FOR ECONOMICS 2468 Saved Help Save & Exit Submi Check my work 1 4 The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 32 million with a standard deviation of 6 million. What is the probability next week's show will: a. Have between 38 and 44 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal ints places.) eBook Ask Print bability b. Have at least 23 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.) ty o 2 decimal places and final answer to 4 decimal places.) c. Exceed 47 million viewers? (Round your Hill
Explanation / Answer
Sol:
mean=32
sd=6
P(38<x<44)
z=x-mean/sd=38-32/6=6/6=1
z for x=44 is z=44-32/6=12/6=2
P(1<z<2)
=P(Z<2)-P(Z<1)
=0.1359
ANSWER:0.1359
Solutionb:
P(atleast 23)
P(X>=23
z=23-32/6=-9//6=-1.5
P(Z>=-1.5)
P(Z<1.5)
pnorm(1.5)
=0.9332
ANSWER:0.9332
Solutionc:
P(X>47)
Z=x-mean/sd
=47-32/6
=15/6
z=2.5
P(Z>2.5)
pnorm(-2.5)
=0.0062
ANSWER:0.0062