Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

no one can seem to get the right answer! Can you??? need help!! Chapter 5-18SP S

ID: 3065776 • Letter: N

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