Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability mass function of X is as follows. k 1 2 3 4 5 P(X=k) |0.61 0.10 0.11 0.03 0.15 a) P(X<4)= [Select] b) If a car is chosen at random, the probability that at most 2 occupants are in a car, during morning commute hours is [Select] c) In the long run, the mean number of occupants in a chosen car during morning commute hours is [Select] on average. d) The standard deviation, Std (X), for the number of occupants is [Select] . (For this question use the two formulas below) Var(X) = Σ (k − E(X))² · P(X = k) std(X) = √Var (X)

Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability mass function of X is as follows. k 1 2 3 4 5 P(X=k) |0.61 0.10 0.11 0.03 0.15 a) P(X<4)= [Select] b) If a car is chosen at random, the probability that at most 2 occupants are in a car, during morning commute hours is [Select] c) In the long run, the mean number of occupants in a chosen car during morning commute hours is [Select] on average. d) The standard deviation, Std (X), for the number of occupants is [Select] . (For this question use the two formulas below) Var(X) = Σ (k − E(X))² · P(X = k) std(X) = √Var (X)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 23E: Eastern Hemlock Ring shake, which is the separation of the wood between growth rings, is a serious...

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