Question

A switchboard at some company receives calls following a probability distribution shown below where the number...

A switchboard at some company receives calls following a probability distribution shown below where the number of calls and the probability of receiving those calls are recorded.

x 0 1 2 3 4 5 6 7 8 P(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12

x 0 1 2 3 4 5 6 7 8
p(x) 0.04 0.05 0.15 0.02 0.28 0.03 0.20 0.11 0.12

a. Calculate the probability that the switchboard receives:

i. Less than four calls.

ii. Between 1 and 7 calls inclusive.

iii. At least 5 calls.

iv. More than two calls.

b. Calculate the expected number of calls received at the switchboard.

c. Calculate the variance and standard deviation of the distribution.

Math   Statistics-And-Probability   
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