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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
Related questions
Question
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![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5f3d717-430b-4c17-9d2a-b85bcd526d4a%2Fb3ddd77d-1832-465d-b048-f78efc39b7cb%2F3a0vbnl_processed.png&w=3840&q=75)
Transcribed Image Text: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)](https://content.bartleby.com/qna-images/question/f5f3d717-430b-4c17-9d2a-b85bcd526d4a/4ff3038f-6cc0-404f-bec5-a518dfbefbf7/cpd3x6_thumbnail.png)
Transcribed Image Text: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)
Solution
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