53. In a couple, the probability that the man will pass through 60th year is 60% while the probability that the woman will pass through her 60th year is 75%. What is the probability that they will both pass 60th year given that one of them is will pass through the 60th year? a. 50% b. 60% c. 70% d. 80%
53. In a couple, the probability that the man will pass through 60th year is 60% while the probability that the woman will pass through her 60th year is 75%. What is the probability that they will both pass 60th year given that one of them is will pass through the 60th year? a. 50% b. 60% c. 70% d. 80%
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![53. In a couple, the probability that the man will pass through 60th year is 60% while the probability that the
woman will pass through her 60th year is 75%. What is the probability that they will both pass 60th year
given that one of them is will pass through the 60th year?
a. 50%
b. 60%
c. 70%
d. 80%
54. If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of the numbers?
a. 3
b. 4
C. 5
d. 6
55. Find the area bounded by r = 4 sin 20
a. a. 4n square units
b. 8n square units
C
4 square units
d.
8 square units
56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y from y=0 to
y = 1.
a. -7/30
b. -11/30
C. -13/30
d. -17/30
57. Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1.
a. 2/3
b. 5/4
C. 3/10
d. 3/5
58. Find the limit of (x³-8)/(x³ + 8) as x approaches-2.
a. zero
b. infinity
C undefined
d. limit does not exist
59. Solve for the slope of the line at any point on the circle x² + y² = 25
a. y' = x/y
b. y'=y/x
c. y' = -x/y
d. y' =-y/x
60. [Length of an Arc] What is the total length of the curve y=e*sin x from x=0 up to y = μ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3585180a-bb1d-439e-8ce6-1309860f79fd%2F4583b19d-38e6-4f88-bcbb-f24dafee45a2%2Fa3roi8g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:53. In a couple, the probability that the man will pass through 60th year is 60% while the probability that the
woman will pass through her 60th year is 75%. What is the probability that they will both pass 60th year
given that one of them is will pass through the 60th year?
a. 50%
b. 60%
c. 70%
d. 80%
54. If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of the numbers?
a. 3
b. 4
C. 5
d. 6
55. Find the area bounded by r = 4 sin 20
a. a. 4n square units
b. 8n square units
C
4 square units
d.
8 square units
56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y from y=0 to
y = 1.
a. -7/30
b. -11/30
C. -13/30
d. -17/30
57. Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1.
a. 2/3
b. 5/4
C. 3/10
d. 3/5
58. Find the limit of (x³-8)/(x³ + 8) as x approaches-2.
a. zero
b. infinity
C undefined
d. limit does not exist
59. Solve for the slope of the line at any point on the circle x² + y² = 25
a. y' = x/y
b. y'=y/x
c. y' = -x/y
d. y' =-y/x
60. [Length of an Arc] What is the total length of the curve y=e*sin x from x=0 up to y = μ
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