Find the exact probability for y < 5 . Find the normal approximation for y < 5 .

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

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Answer 2

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Answer 6

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

Answer 7

Chapter 4.18, Problem 88E

a.

To determine

Find the exact probability for y<5.

Find the normal approximation for y<5.

Answer 8

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

Answer 9

b.

To determine

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

Answer 10

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Answer 11

c.

To determine

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

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Find the exact probability for y < 5 . Find the normal approximation for y < 5 .

Concept explainers

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Find the exact probability for y<5.

Find the normal approximation for y<5.

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).

Want to see the full answer?

Chapter 4 Solutions

Find the exact probability for y &lt; 5 . Find the normal approximation for y &lt; 5 .

Concept explainers

Videos

Find the exact probability for y<5. Find the normal approximation for y<5.

Explain why the normal approximation can be improved slightly by taking P(y≤4.5). Compare the results.

Find the exact probability for P(8<y<14). Find the normal approximation with the continuity correction for P(8<y<14).

Want to see the full answer?

Chapter 4 Solutions

Find the exact probability for y < 5 . Find the normal approximation for y < 5 .

Find the exact probability for y<5.

Find the normal approximation for y<5.

Explain why the normal approximation can be improved slightly by taking P(y≤4.5).

Compare the results.

Find the exact probability for P(8<y<14).

Find the normal approximation with the continuity correction for P(8<y<14).