Then P(X < 0.5, Y < 0.75) equals

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose (X; Y ) is a continuous random vector with joint probability density
function
fx,y(x,v) =;
y Osx<2,0sys1
O else
Then P(X < 0.5, Y < 0.75) equals
Select one:
а. 0.0625
b. 0.125
с. 1
d. 0.14
е. 0.078
Transcribed Image Text:Suppose (X; Y ) is a continuous random vector with joint probability density function fx,y(x,v) =; y Osx<2,0sys1 O else Then P(X < 0.5, Y < 0.75) equals Select one: а. 0.0625 b. 0.125 с. 1 d. 0.14 е. 0.078
An insurance company covers 100$ per day for up to four days staying in a hospital, and 50$ per
day for any day after the first four days if any. The number of days the patients used to stay in the
hospital is a random variable with PMF:
6-k
k = 1, 2, 3, 4, 5
Px(k) =
15
else
the expected amount the company will pay is:
Select one:
а. 233.33
b. 230
c. 166.67
d. 200
е. 220
Transcribed Image Text:An insurance company covers 100$ per day for up to four days staying in a hospital, and 50$ per day for any day after the first four days if any. The number of days the patients used to stay in the hospital is a random variable with PMF: 6-k k = 1, 2, 3, 4, 5 Px(k) = 15 else the expected amount the company will pay is: Select one: а. 233.33 b. 230 c. 166.67 d. 200 е. 220
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