Question

Suppose a sitcom is filmed on set between zero and five days per week. The following table shows the probabilities of the sitcom being filmed zero, one, two, three, four, or five days in a week.

x P ( x )

0 = 0.11213

1 = 0.14558

2 = 0.16942

3 = 0.22547

4 = 0.15375

5 = 0.19365

The expected number of days the sitcom will be filmed in one week, μ , is 2.74408. Use the formula below to calculate the variance, σ 2 , of the number days the sitcom films, x , where P ( x ) is the probability of the sitcom filming for a particular number of days. σ 2 = ∑ [ ( x − μ ) 2 ⋅ P ( x ) ]

Provide each answer with three decimal places of precision.

What is the weighted probability of two days of filming?

What is the weighted probability of three days of filming?

What is the weighted probability of four days of filming?

What is the weighted probability of five days of filming?

What is the weighted probability of zero days of filming?

What is the weighted probability of one day of filming?

What is the variance?

Answer 1