SOLUTION: the probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, 0.17 respectively.

Question 1078021: the probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, 0.17 respectively. find the probability that in this 30-minute period
a) more than 2 cars receive gas
b) at most 4 cars receive gas
c) P(4 or more cars)
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!

If n = the number of cars that pump gas, then

P(n=0) = 0.03
P(n=1) = 0.18 
P(n=2) = 0.24
P(n=3) = 0.28 
P(n=4) = 0.10
P(n≥5) = 0.17

Easy.  Just add the probabilities of how many
cars might pump.  I'll do the first one.  You 
do the other two:

a) more than 2 cars receive gas

There could be 3, 4, or more than 5 

P(n=3 or n=4 or n≥5) = P(n=3)+P(n=4)+P(n≥5) =

0.28 + 0.10 + 0.17 = 0.55

----------
Edwin

RELATED QUESTIONS
The probabilities that a service station will pump gas into 0, 1,2,3,4, or 5 or more... (answered by Theo)

Akhtar works in a call center. The probabilities that he will talk with 0, 1, 2, 3, 4,... (answered by Boreal)

Referring to the information below, what is the number of calls that the doctor's... (answered by Boreal)

Referring to the information below, what is the standard deviation of the number of calls (answered by ikleyn)

Referring to the information below, what is the probability that he will receive anywhere (answered by ikleyn)

Referring to the information below, what is the probability that he will receive at least (answered by ikleyn)

Referring to the information below, what is the probability that he will receive fewer... (answered by ikleyn)

Cars arrive at a CNG station at an average rate of 30 per hour. Assuming that the number... (answered by Boreal)

find the error in each of the ff. statements a) the probability of that a car... (answered by Fombitz)