A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out 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 that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
A pencil company has four extruders for making pencil lead. The maintenance manager has determined from historical data that the following table describes the distribution of the number of extruders down (out 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 that three or more extruders are down. b. Find the probability that fewer than one extruder is down. c. Find the expected number of extruders down. d. Find the population variance and the population standard deviation for the number of extruders down.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:A pencil company has four extruders for making pencil lead. The maintenance
manager has determined from historical data that the following table describes
the distribution of the number of extruders down (out 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 that three or more extruders are down.
b. Find the probability that fewer than one extruder is down.
c. Find the expected number of extruders down.
d. Find the population variance and the population standard deviation for the
number of extruders down.
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