Solution :
Given :
X = the number of boys in a family of four children
Families having four children are chosen randomly.
The gender distribution in the four child family are equally probable.
Thus,
X P(X) CDF
0 = 1/16
1 = 1/4
2 = 3/8
3 = 1/4
4 = 1/16 1
A U B = set of all elements that are in both A or B:
A U B = {2, 3, 4, 5, 6, 7}
Here is a picture to see our answer.
The answer is:
The fabric will cost $4.58
D.$4.58
<h2>Why?</h2>Since it's a conversion exercise, we need to pay special attention to the conversion procedure.
From the statement we know that:
So, if she needs 10 feet of fabric, we need to convert it to meters, and then, calculate its cost.
We have that:
Now, we have that each meter of fabric cost $1.50, so, 3.05m of fabric will cost:
Hence, we have that the cost of the fabric will be $4.58.
The correct option is: D.$4.58
Have a nice day!