The function f ( x ) = ( 1 2 ) e − x 2 is a probability density function on the interval [ 0 , ∞ ) and find the probability P ( 0 ≤ X ≤ 1 ) .

Question

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Answer 1

Question

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥2) .

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on donne f(x) da fonction derive dhe do fonction fcsos calcule f'(x) orans chacun des Cas sulants: 3 1) f(x)=5x-11, 2- f (x) = ->³ 3-1(x) = x² 12x +π; 4-f(x)=- 5-f(x) = 33-4x6-609)=-3x²+ 7= f(x) = x + 1.8-f(x) = 4 s-f(x) = x++ X+1 -x-1 2 I 3x-4 дево

The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating

T 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.

Answer 2

Question

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥2) .

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Answer 3

Question

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥2) .

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Answer 4

Question

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥2) .

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Answer 5

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

(b)

To determine

To find: The probability P(1≤X≤3) .

(c)

To determine

To find: The probability P(X≥2) .

Answer 6

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

Answer 7

Chapter 18.1, Problem 31E

(a)

To determine

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

Answer 8

(b)

To determine

To find: The probability P(1≤X≤3) .

Answer 9

(b)

To determine

To find: The probability P(1≤X≤3) .

Answer 10

(c)

To determine

To find: The probability P(X≥2) .

Answer 11

(c)

To determine

To find: The probability P(X≥2) .

Answer 12

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Answer 13

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Answer 14

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Answer 15

Ch. 18.1 - Prob. 1YT Ch. 18.1 - Prob. 2YT Ch. 18.1 - Using the probability density function of Example...Ch. 18.1 - Use part (a) of Example 5 to calculate the...Ch. 18.1 - Evaluate each of the following integrals. (Sec....Ch. 18.1 - Prob. 2WE Ch. 18.1 - Prob. 3WE Ch. 18.1 - Decide whether the functions defined as follows...Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E

The function f ( x ) = ( 1 2 ) e − x 2 is a probability density function on the interval [ 0 , ∞ ) and find the probability P ( 0 ≤ X ≤ 1 ) .

Solution Summary: The author explains the function f, which is a probability density function for random variables in the interval left[a,bright].

To show: The function f(x)=(12)e−x2 is a probability density function on the interval [0,∞) and find the probability P(0≤X≤1) .

To find: The probability P(1≤X≤3) .

To find: The probability P(X≥2) .

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Chapter 18 Solutions