There are two service lines. The random variables X and Y are the proportions of time that line 1 and line 2 are in use, respect
ively. The joint probability density function for (X, Y ) is given by
1 answer:
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Answer:
A) The random variables X and Y are not independent
B) E(X) = 5/8 ; E(Y) = 5/8 ; E(X+Y) = 5/4 ; E(XY) = 3/8
C) E(X²) = 7/15 ; E(Y²) = 7/15 ; Var (X) = 73/960 ; Var(Y) = 73/960 ; Cov(X, Y) = - 1/64
D) Var(X+Y) = 29/240
Step-by-step explanation:
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He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes
Step-by-step explanation:
The given is:
- Henry has been typing a book report that contains 1250 words
- He has been typing for 1/4 hour at a rate of 30 words per minutes
- He must type the remainder of the report in 25 more minutes
We need to find his rate to finish the remaining report in 25 minutes
∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute
- We must to change hour to minutes
∵ 1 hour = 60 minutes
∴ hour =
hour × 60 = 15 minutes
∴ He has been typing for 15 minutes at a rate of 30 words per minute
∵ The number of words has been typed = his rate × time
∴ The number of words has been typed = 30 × 15 = 450 words
∵ The book report that contains 1250 words
- Subtract the number of words has been typed from the total
words to find the remaining word in the book
∴ The remaining words = 1250 - 450 = 800 words
∵ He plans to finish them in 25 minutes
- Substitute the number of the remaining words and the time
in the rule above to find his rate
∵ 800 = his rate × 25
- Divide both sides by 25
∴ His rate = 32 words per minute
He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes
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