Probability question, find pmf given cdf?

2011-02-26 3:30 pm
At Fred's Automotive works the arrivals of customes at the Desk is timed.Let X= the number of minutes between successive disgruntled customers. It's found that cumulative distribution function of X is:
F(x)= 0 if x<1
F(x)=0.3 if 1<=x<3
F(x)=0.4 if 3<=x<4
F(x)=0.45 if 4<=x<6
F(x)=0.60 if 6<=x<12
F(x)=1 if 12<=x

What is the pmf of X?
Many thanks to everyone who try to help.

回答 (3)

2011-02-28 5:10 pm
✔ 最佳答案
pmf of x

f(x)= 0.0 , x<1
f(x) = 0.3 , 1 <= x < 3
f(x) = 0.1 , 3 <= x < 4
f(x) = 0.05 , 4 <= x < 6
f(x) = 0.15 , 6 <= x < 12
f(x) = 0.40 , x >=12
2016-10-31 5:22 pm
Cdf To Pmf
2011-02-26 11:24 pm
The probability is probably 6.7


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