Answer:
The probability that you made this call is 0.8639.
Explanation:
Parameter for you = λ1 = 2
⇒ β1 = 1 / λ1 = 1 / 2 = 0.5
Parameter for Janice = λ2 = 4
⇒ β2 = 1 / λ2 = 1 / 4 = 0.25
Probability that you made a for 0.5 hours or more:
![P(X\geq 0.5)=e^{-0.5/0.5}=0.3679](https://tex.z-dn.net/?f=P%28X%5Cgeq%200.5%29%3De%5E%7B-0.5%2F0.5%7D%3D0.3679)
Probability that Janice made a for 0.5 hours or more:
![P(X\geq 0.5)=e^{-0.5/0.25}=0.1353](https://tex.z-dn.net/?f=P%28X%5Cgeq%200.5%29%3De%5E%7B-0.5%2F0.25%7D%3D0.1353)
Overall probability that a call was made for 0.5 hours of more
= (0.7 x 0.3679) + (0.3 x 0.1353)
= 0.2981
Probability that you made the given call
= 0.7 x 0.3679 / 0.2981
= 0.8639
Answer:
that is the solution to the question
Answer:
0.7 or .7
Step-by-step explanation:
7 divided by 10 is 0.7
Answer:
(5, 180)
Step-by-step explanation:
You use 5(z) and multiply it by 36 to get 180(y)
Answer:
Part A) The rate is ![\frac{12}{4}\ \frac{feet}{years}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B4%7D%5C%20%5Cfrac%7Bfeet%7D%7Byears%7D)
Part B) In 1 year the tree grows 3 feet
Step-by-step explanation:
Part A) write the rate at which this tree grows as a fractions
we know that
To find out the rate at which the tree grows divide 1/4 foot by 1/12 year
so
![\frac{(1/4)}{(1/12)}=\frac{12}{4}\ \frac{feet}{years}](https://tex.z-dn.net/?f=%5Cfrac%7B%281%2F4%29%7D%7B%281%2F12%29%7D%3D%5Cfrac%7B12%7D%7B4%7D%5C%20%5Cfrac%7Bfeet%7D%7Byears%7D)
Part B) how many feet does the tree grow in 1 year?
we know that
The tree grows at rate of ![\frac{12}{4}\ \frac{feet}{years}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B4%7D%5C%20%5Cfrac%7Bfeet%7D%7Byears%7D)
Simplify
![\frac{3}{1}\ \frac{feet}{year}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D%5C%20%5Cfrac%7Bfeet%7D%7Byear%7D)
That means ----> The tree grows 3 ft in 1 year
therefore
In 1 year the tree grows 3 feet