
Explanation:
Since we have given that
The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

As we know that,


Now,

and

So,

So, the expected value of a t-shirt = $31.
The answer would be 1,220,000mm.
You can do this if you convert all the measures into one unit. Let us convert all into km.
The first one is already in km, so we do not need to covert it.
Let's start with converting 1,220,000mm to km.
There are 1, 000,000 mm in one km.

So there are 1.22km in 1,220,000mm.
Next, we have 120m. There are 1,000m in 1km.

There are 0.12km in 120m
Now you can see that 1,220,000mm is the longest.
Answer:
D. 13*3^x
Step-by-step explanation:
![3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x](https://tex.z-dn.net/?f=3%5Ex%20%2B4%2A3%5Ex%5E%2B%5E1%3D%20%5C%5C3%5Ex%2B4%2A3%283%5Ex%29%3D%5C%5C3%5Ex%281%2B%5B4%2A3%5D%29%3D%5C%5C3%5Ex%281%2B12%29%3D%5C%5C3%5Ex%2813%29%3D%5C%5C13%2A3%5Ex)
Answer:
Step-by-step explanation:
We are given that 30% of California residents have adequate earthquake supplies.
a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance
B) x can take value 1 ,2 ,3 ......
C)The distribution of random variable is geometric distribution with parameter p=0.3
The pmf of geometric distribution is

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)
P(X=1) or P(X=2)=
E)

F)

p is the resident who does not have adequate earthquake supplies.
p = 1-0.3 = 0.7

G)
Answer:
Investor B
Step-by-step explanation:
Investor A: 2% of 12 million is 240,000
Investor B: 30% of 1 million is 300,000
Thus, Investor B has a greater investment limit