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:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
Answer:
See below.
Step-by-step explanation:
I can't see any example but what I would do is first multiply both sides by 3.
4m/3 = 8
4m/3 * 3 = 8 * 3
4m = 24.
9514 1404 393
Answer:
8
Step-by-step explanation:
The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...
sum of angles = 180°(n -2)
Filling in the given value and solving for n, we get ...
1080 = 180(n -2)
6 = n -2 . . . . . . divide by 180
8 = n . . . . . . . . add 2
The polygon has 8 sides.
Answer:
9.055
Step-by-step explanation:
12.7 - 4.705 = 7.995
7.995 + 1.06 = 9.055