3. As part of the underwriting process for insurance, each prospective policyholder is tested for high cholesteror. beu Y represent the number of tests completed when the first person with cholesterol is found. The expected varue of Y is 3.5. Calculate the probability that the tenth person tested is the third one with high cholesterol. 4. Vehicle speed on a freeway, where speed limit is 70 miles per hour, follows a normal distribution with a mean of 73 miles per hour and a standard deviation of 5 miles per hour. Find the probability that at lease 3 of more of 10 randomly selected vehicles on the highway are speeding. es ients) in three categories, A (60%), B (25%), and C (15%). 1364 3974 3936 2594 .3557 .3192 .3156 .2810 2483 .2451 2148 7. The random variable of time (in hours) to complete Task A, X, has density function given below. 0
3. As part of the underwriting process for insurance, each prospective policyholder is tested for high cholesteror. beu Y represent the number of tests completed when the first person with cholesterol is found. The expected varue of Y is 3.5. Calculate the probability that the tenth person tested is the third one with high cholesterol. 4. Vehicle speed on a freeway, where speed limit is 70 miles per hour, follows a normal distribution with a mean of 73 miles per hour and a standard deviation of 5 miles per hour. Find the probability that at lease 3 of more of 10 randomly selected vehicles on the highway are speeding. es ients) in three categories, A (60%), B (25%), and C (15%). 1364 3974 3936 2594 .3557 .3192 .3156 .2810 2483 .2451 2148 7. The random variable of time (in hours) to complete Task A, X, has density function given below. 0
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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Transcribed Image Text:3. As part of the underwriting process for insurance, each prospective policyholder is tested for high cholesteror. beu
Y represent the number of tests completed when the first person with cholesterol is found. The expected varue
of Y is 3.5. Calculate the probability that the tenth person tested is the third one with high cholesterol.
4. Vehicle speed on a freeway, where speed limit is 70 miles per hour, follows a normal distribution with a mean of
73 miles per hour and a standard deviation of 5 miles per hour. Find the probability that at lease 3 of more
of 10 randomly selected vehicles on the highway are speeding.
es
ients) in three categories, A (60%), B (25%), and C (15%).
Transcribed Image Text:1364
3974
3936
2594
.3557
.3192
.3156
.2810
2483
.2451
2148
7. The random variable of time (in hours) to complete Task A, X, has density function given below.
0<x < 2
f (x) =
0,
otherwise.
Given X = x, time (in hours) to complete an associated Task B, Y, is uniformly distributed on the interval
from x to 2x.
(a) Find the probability that it takes between 1 to 3 hours to complete Task B.
%3D
(b) Find the density function of U = Y/X using the method of CDF.
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