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3. Assume that 60% of cars driven into Dublin at rush hour have 1 occupant, 20% have two occupants, 12% have three occupants, 6% have four occupants and the remainder have 5 occupants. Let X denote the number of occupants in a randomly selected car in Dublin at rush hour. (a) Tabulate the probability mass function of X. (b) Tabulate the cumulative distribution function of X. (c) Find P(X > 4) and P(X<3).

3. Assume that 60% of cars driven into Dublin at rush hour have 1 occupant, 20% have two occupants, 12% have three occupants, 6% have four occupants and the remainder have 5 occupants. Let X denote the number of occupants in a randomly selected car in Dublin at rush hour. (a) Tabulate the probability mass function of X. (b) Tabulate the cumulative distribution function of X. (c) Find P(X > 4) and P(X<3).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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3. Assume that 60% of cars driven into Dublin at rush hour have 1 occupant, 20% have two occupants, 12% have three occupants, 6% have four occupants and the remainder have 5 occupants. Let X denote the number of occupants in a randomly selected car in Dublin at rush hour. (a) Tabulate the probability mass function of X. (b) Tabulate the cumulative distribution function of X. (c) Find P(X > 4) and P(X <3). (d) Find the mean of X, the variance of X and the standard deviation of X.
Transcribed Image Text:3. Assume that 60% of cars driven into Dublin at rush hour have 1 occupant, 20% have two occupants, 12% have three occupants, 6% have four occupants and the remainder have 5 occupants. Let X denote the number of occupants in a randomly selected car in Dublin at rush hour. (a) Tabulate the probability mass function of X. (b) Tabulate the cumulative distribution function of X. (c) Find P(X > 4) and P(X <3). (d) Find the mean of X, the variance of X and the standard deviation of X.
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Solution - Given that, X denote the number of occupants in a randomly selected car in Dublin at rush hour

a) Probability mass function of X 

X 1 2 3 4 5
P(X=x) 0.60 0.20 0.12 0.06 0.02
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