SOLUTION: The number of cars arrived at toll plaza in any given hour is a random
variable represented by X. The probability distribution for X is: [5]
X 10 11 12 13 14
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Question 970732: The number of cars arrived at toll plaza in any given hour is a random
variable represented by X. The probability distribution for X is: [5]
X 10 11 12 13 14
P(X) 0.4 0.2 0.2 0.1 0.1
Find the probability that in a given hours:
i) Exactly 14 cars arrives.
ii) At least 12 cars arrives.
iii) At most 11 cars arrive.
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
The number of cars arrived at toll plaza in any given hour is a random
variable represented by X. The probability distribution for X is: [5]
X 10 11 12 13 14
P(X) 0.4 0.2 0.2 0.1 0.1
Find the probability that in a given hours:
i) Exactly 14 cars arrives.
P(X = 14) =
ii) At least 12 cars arrives.
P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14)
=0.2 + 0.1 + 0.1
=
iii) At most 11 cars arrive.
P(X ≤ 11) = 1 - P(X ≥ 12)
= 1 - 0.4
=
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