a.
Find
a.
Answer to Problem 11SE
The value of
Explanation of Solution
Given info:
The
Calculation:
The value of
Thus, the value of
b.
Find the probability that both fuses last at least 3 years.
b.
Answer to Problem 11SE
The probability that both fuses last at least 3 years is 0.0821.
Explanation of Solution
Calculation:
The probability that both fuses last at least 3 years represents the
The value of
Thus, the probability that both fuses last at least 3 years is 0.0821.
c.
Find the marginal probability density functions of X.
c.
Answer to Problem 11SE
The marginal probability density functions of X is,
Explanation of Solution
Calculation:
The formula for finding marginal probability density function
The marginal probability density function
For
Here,
Therefore,
For
Here,
Therefore,
Thus, the marginal probability density functions of X is,
d.
Find the marginal probability density functions of Y.
d.
Answer to Problem 11SE
The marginal probability density functions of Y is,
Explanation of Solution
Calculation:
The formula for finding marginal probability density function
The marginal probability density function
For
Here,
Therefore,
For
Here,
Therefore,
Thus, the marginal probability density functions of Y is,
e.
Explain whether X and Y are independent or not.
e.
Answer to Problem 11SE
Yes, X and Y are not independent because
Explanation of Solution
Calculation:
If
Here,
Thus, X and Y are independent.
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Chapter 2 Solutions
EBK STATISTICS FOR ENGINEERS AND SCIENT
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