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34kurt
2 years ago
9

the probabilities of having 0,1,2,3, or 4 people waiting in line at a grocery store are shown in the probability distribution be

low. what is the expected number of people waiting in line, rounded to the nearest tenth?
Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

1.4

Step-by-step explanation:

Given the probability distribution :

X _____ 0 ____1 ____ 2 ____ 3 ____4

P(x) _ 0.16 _ 0.41 _ 0.32 __ 0.09 __ 0.02

Expected number of people waiting in line :

E(X) = Σ(x * p(x))

E(X) = (0*0.16) + (1*0.41) + (2*0.32) + (3*0.09) + (4*0.02)

E(X) = 1.4

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