1)
8y=144
Y=18
2)
15 y
— = —
20. 24
Y=12
Answer:

Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
<span>Simplifying
2d + -5 = 17
Reorder the terms:
-5 + 2d = 17
Solving
-5 + 2d = 17
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 2d = 17 + 5
Combine like terms: -5 + 5 = 0
0 + 2d = 17 + 5
2d = 17 + 5
Combine like terms: 17 + 5 = 22
2d = 22
Divide each side by '2'.
d = 11
Simplifying
d = 11 </span>
Answer:
a)e^-(λ20891)
b)1-e^-(λ30598)
c)1-e^-(λ30598)-e^-(λ20891)
Step-by-step explanation:
The probability density function (pdf) of an exponential distribution is
f(x,λ)=λe^-(λx) for x>0, and 0 for x<0
The cumulative distribution function is given by
F(x,λ)=1-e^-(λx) for x>0, and 0 for x<0
P(X≥20891)=1-P(X≤20891)=1-F(20891,λ)=e^-(λ20891)
P(X≤30598)=F(30598,λ)=1-e^-(λ30598)
P(20891≤X≤30598)=F(30598,λ)-(20891,λ)=1-e^-(λ30598)-e^-(λ20891)