Problem: a fair coin is flipped nine times and the numbers of heads are counted. question: what is the variance for this distribution?
5 points
2.25
0.5
4.5
9

Option A

Step-by-step explanation:

The number of faces obtained by flipping the coin 9 times is a discrete random variable.

If we call this variable x, then, the probability of obtaining a face in each test is p.

Where

If we call n the number of trials then:

The distribution of this variable is binomial with parameters

For a binomial distribution, the variance "" is defined as

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.