Complete parts (a) and (b) using the probability distribution below.
the number of overtime hours worked in one week per employee
overtime hours
0 1 2 3 4 5 6
probability
0.026 0.072 0.154 0.303 0.215 0.164 0.066
(a) find the mean, variance, and standard deviation of the probability distribution.
find the mean of the probability distribution.
μ = 3.4
σ2 = 2.0
σ = 1.4
choose the correct answer below.
a.
an employee works an average of 2.0 overtime hours per week with a standard deviation of approximately 1.4 hours.
b.
an employee works an average 3.4 of overtime hours per week with a standard deviation of approximately 4 hours.
c.
an employee works an average of 1.4 overtime hours per week with a standard deviation of approximately 3.4 hours.
d.
an employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4 hours.