MATH S a Test #3 Ch 5 & 6 Previous 2 3 456789 10 Next Question 2 of 20 (7 points
ID: 3259832 • Letter: M
Question
MATH S a Test #3 Ch 5 & 6 Previous 2 3 456789 10 Next Question 2 of 20 (7 points Do you carpool? 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 distribution of X is as follows P(x) 0.70 0.15 0.10 0.03 0.02 a. Find P(4). P(4)-0.03 b. Find P (less than or equal to 3) P (less than or equal to 3)- c. Find the probability that a car has only one occupant. The probability that a car has only one occupant is . d. Find the probability that a car has fewer than four occupants The probability that a car has fewer than four occupants is e. Compute the mean and standard deviation. Round the standard deviation to three decimal places The mean x is alExplanation / Answer
Answer:
a). P(4) =0.03
b). P ( x 3) =0.95
c). P( x=1) =0.70
d).P( x < 4) =0.95
e).
x
p(x)
x*p(x)
(x-mean)^2*p(x)
1
0.7000
0.7000
0.1893
2
0.1500
0.3000
0.0346
3
0.1000
0.3000
0.2190
4
0.0300
0.1200
0.1845
5
0.0200
0.1000
0.2422
Total
1.000
1.5200
0.8696
Variance = (x-mean)^2*p(x) =0.8696
Mean = 1.520
Standard deviation is 0.933
f).
mean per car is 1.52, has not been met.
x
p(x)
x*p(x)
(x-mean)^2*p(x)
1
0.7000
0.7000
0.1893
2
0.1500
0.3000
0.0346
3
0.1000
0.3000
0.2190
4
0.0300
0.1200
0.1845
5
0.0200
0.1000
0.2422
Total
1.000
1.5200
0.8696
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.