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n=16 p=0.55 Write the binomial probability and the normal probability for the sh

ID: 3176255 • Letter: N

Question

n=16

p=0.55

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.

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.

A. P(4< x<6)=P(5)=

B. P(3 x 7)=P(3)+P(4)+P(5)+P(6)+P(7)=

C. P(3

D. P(4x6)=P(4)+P(5)+P(6)=

Write the normal 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.

A. P(4x6)=P(3.5x6.5)=

B. P(3

C. P(4

D. P(3x7)=P(2.5lx7.5)=

Compare the results. Choose the correct answer below.

The results are totally different.

The results are about the same.

024681012141600.040.080.120.160.20.24xP(x)

Explanation / Answer

Result:

n=16

p=0.55

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.

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.

B. P(3 x 7)=P(3)+P(4)+P(5)+P(6)+P(7)=

=0.0029+0.0115+0.0337+0.0755+0.1318

=0.2553

Write the normal 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.

D. P(3x7)=P(2.5lx7.5)=

Expectation = np = 8.8

Variance = np(1 - p) = 3.96

Standard deviation = 1.990

Z value for 2.5, z=(2.5-8.8)/1.990 =-3.17

Z value for 7.5, z=(7.5-8.8)/1.990 =-0.65

P( -3.17<z<-0.65) = P( z < -0.65) – P( z < -3.17)

=0.2578-0.0008

=0.2570

Compare the results. Choose the correct answer below.

The results are totally different.

Answer: The results are about the same.