Question

2. Suppose it is known that 37% of people in a certain city support Candidate Y for

mayor. You randomly select 8 people from this city. Let z be the number of people in
your sample that support Candidate Y for mayor.
x= 2.96
what is the standard deviation of x?

Answer 1

The standard deviation of x can be calculated using the formula: σ = sqrt(n * p * (1 - p)). In this case, the standard deviation of x is approximately 1.33.

Step-by-step explanation:

The standard deviation of x can be calculated using the formula:

σ = sqrt(n * p * (1 - p))

Where:

• n is the sample size
• p is the probability of success

In this case, n=8 and p=0.37. Substituting these values into the formula:

σ = sqrt(8 * 0.37 * (1 - 0.37))

σ = sqrt(8 * 0.37 * 0.63)

σ = sqrt(1.7784)

σ = 1.33

Therefore, the standard deviation of x is approximately 1.33.