Diane works a normal five-day work week. Last year (52 work weeks)

Diane missed 1 week from illness.

Diane had 3 weeks vacation.

She called in sick 1 day four times

She called in sick 2 days twice.

She called in sick 3 days twice.

She never called in sick 4 days twice.

She worked a full work week the rest of the times.

How many weeks are in one year? I know is 52 weeks.

Let X = the number of days worked each week.

Write the probability distribution for X

x #weeks P(x) X-P(x) (X-mean)^2 * P(x)

0 4 4/52 0 ?

1 0 0 0 ?

2 2 2/52 4/52 ?

3 2 2/52 6/52 ?

4 4 4/52 16/52 ?

5 40 40/52 200/52 ?

Sums 52 1 226/52 ?

What is the average number days worked each week?

What is the standard deviation of the number of days worked?