5.5.15Question Help

Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results.

0

2

4

6

8

10

12

14

16

0

0.04

0.08

0.12

0.16

0.2

0.24

x

P(x)

n=16

p=0.5

A coordinate system has a horizontal x-axis labeled from 0 to 16 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.24 in increments of 0.02. The equations n = 16 and p = 0.5 are displayed on the graph. A normal curve is centered on 8. There are vertical bars of width 1 extending upward from the x-axis, each bar is centered over each of the tick marks on the x-axis. The heights of the vertical bars are as follows, where the x-axis label is given first, and the height is given second: 0, 0; 1, 0; 2, 0; 3, 0.01; 4, 0.03; 5, 0.07; 6, 0.12; 7, 0.17; 8, 0.2; 9, 0.17; 10, 0.12; 11, 0.07; 12, 0.03; 13, 0.01; 14, 0; 15, 0; 16, 0. The bars at x = 5, x = 6, and x = 7 are shaded. All coordinates are approximate.

Write the binomial probability for the shaded region of the graph and find its value. Select the correct choice below and fill in the answer box within your choice.

(Round to four decimal places asneeded.)

A.

P(4x8)=P(4)+P(5)+P(6)+P(7)+P(8)=

nothing

B.

P(5

nothing

C.

P(4

nothing

D.

P(5x7)=P(5)+P(6)+P(7)=

0.2410