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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%

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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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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