Find the value of P ( X < 0.02 ) .

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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 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

b.

To determine

Find the value of x for which P(X≤x)=0.95.

c.

To determine

Find the mean and the variance of X.

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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts? 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the answer of the second part.) 2. Compute the probability of a value greater than 55.0. Use the same formula, x=55 and subtract the answer from 1. 3. Compute the probability of a value between 52.0 and 55.0. (The question requires finding probability value between 52 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 52, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…

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 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

b.

To determine

Find the value of x for which P(X≤x)=0.95.

c.

To determine

Find the mean and the variance of X.

Expert Solution & Answer

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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 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

b.

To determine

Find the value of x for which P(X≤x)=0.95.

c.

To determine

Find the mean and the variance of X.

Expert Solution & Answer

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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 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

b.

To determine

Find the value of x for which P(X≤x)=0.95.

c.

To determine

Find the mean and the variance of X.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

b.

To determine

Find the value of x for which P(X≤x)=0.95.

c.

To determine

Find the mean and the variance of X.

Answer 6

Chapter 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

Answer 7

Chapter 4.11, Problem 180E

a.

To determine

Find the value of P(X<0.02) .

Answer 8

b.

To determine

Find the value of x for which P(X≤x)=0.95.

Answer 9

b.

To determine

Find the value of x for which P(X≤x)=0.95.

Answer 10

c.

To determine

Find the mean and the variance of X.

Answer 11

c.

To determine

Find the mean and the variance of X.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 4.2 - 4-1. Suppose that f(x) = e−x for 0 < x. Determine...Ch. 4.2 - 4-2. Suppose that f (x) = 3(8x – x2)/256 for 0< x...Ch. 4.2 - 4-3. Suppose that f (x) = 0.5 cos x for −π/2 < x <...Ch. 4.2 - Prob. 4E Ch. 4.2 - 4-5. Go Tutorial Suppose that for 3 < x < 5....Ch. 4.2 - Prob. 6E Ch. 4.2 - 4-7. Suppose that f(x) = 1 .5x2 for −1 < x < 1....Ch. 4.2 - 4-8. The probability density function of the time...Ch. 4.2 - 4-9. The probability density function of the net...Ch. 4.2 - Prob. 10E

Find the value of P ( X < 0.02 ) .

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Find the value of P(X<0.02) .

Find the value of x for which P(X≤x)=0.95.

Find the mean and the variance of X.

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Chapter 4 Solutions

Find the value of P ( X &lt; 0.02 ) .

Concept explainers

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Find the value of P(X<0.02) .

Find the value of x for which P(X≤x)=0.95.

Find the mean and the variance of X.

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Chapter 4 Solutions

Find the value of P ( X < 0.02 ) .