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)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

100%

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)

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Follow-up Questions

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Follow-up Question

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)

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