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A survey of cars on a certain stretch of highway during
Chapter 2, Problem 5E(choose chapter or problem)
A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let X represent the number of occupants in a randomly chosen car.
a. Find the probability mass function of X.
b. Find \(P(X \leq 2)\).
c. Find \(P(X>3)\).
d. Find \(\mu_{X}\).
e. Find \(\sigma_X\).
Equation Transcription:
Text Transcription:
P(X{</=}2)
P(X>3)
mu_X
sigma_X
Questions & Answers
QUESTION:
A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let X represent the number of occupants in a randomly chosen car.
a. Find the probability mass function of X.
b. Find \(P(X \leq 2)\).
c. Find \(P(X>3)\).
d. Find \(\mu_{X}\).
e. Find \(\sigma_X\).
Equation Transcription:
Text Transcription:
P(X{</=}2)
P(X>3)
mu_X
sigma_X
ANSWER:
Solution:
Step 1of 3 :
A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant 15% had 2, 10% had 3, 3% had 4, and 2% had 5.if X represent the number of occupants in a randomly chosen car.
We have to find
- The probability mass function of X.
-
P(X
)
- P(X>3)
- E(X)
-
.