A Honda dealer is having a sale on 2017 Accords. With prices slashed, a salesper
ID: 3323614 • Letter: A
Question
A Honda dealer is having a sale on 2017 Accords. With prices slashed, a salesperson named Wilma estimates the following distribution
where X = the number of Accords that she will sell next week.
It may be helpful to copy the numbers into Excel for faster calculations.
Round all answers to two decimal places.
a) What is the probability that Wilma will sell at least one but no more than three Accords next week?
b) What is the probability that Wilma will sell more than four Accords next week?
c) What is the expected number of Accords that Wilma will sell next week?
d) What is the variance in the number of Accords that Wilma will sell next week?
X 0 1 2 3 4 p(X) 0.04 0.16 0.26 0.35 0.19Explanation / Answer
a) P(1<=x<=3)=P(x=1)+P(x=2)+P(x=3)= 0.16+0.26+0.35=0.77
b) P(x>4)=0 (as the table has no value for x>4)
c) expected number is 0*0.04+1*0.16+2*0.26+3*0.35+4*0.19=2.49
d) variance is given as E(x^2)-E(x)^2
E(x^2)=0.04*0^2+0.16*1^2+0.25*2^2+0.35*3^2+0.19*4^2=7.35
thus variance is 7.35-(2.49)^2=1.1499
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.