3.2 A pencil company has four extruders for making a pencillead. The maintenance

Question

3.2

A pencil company has four extruders for making a pencillead. The maintenance manager has determined from historicaldata that the following table describes the distribution of thenumber of extruders down (own of operation) on any given day:

                y           0             1             2             3             4

               P(y)       0.5         0.3         0.1         0.05        0.05

a.       Find the probability thatthree or more extruders are down.

b.      Find the probability that fewerthan one extruder is down.

c.       Find the expected numberof extruders down.

d.      Find the population varianceand the population standard deviation for the number of extrudersdown.

Thanks in Advance,

               Aphareus

Explanation / Answer

a.       the probability thatthree or more extruders are down. = P(3)+P(4) = 0.05+0.05 =0.1

b.      the probability that fewer thanone extruder is down.=P(0) = 0.5

y 0 1 2 3 4 P(y) 0.5 0.3 0.1 0.05 0.05 yP(y) 0 0.3 0.2 0.15 0.2 y2P(y) 0 0.3 0.4 0.45 0.8

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