Problem 60E
Orders for a computer are summarized by the optional features that are requested as follows:
(a) What is the probability that an order requests at least one optional feature?
(b) What is the probability that an order does not request more than one optional feature?
Solution 60E
Step1 of 3:
From the given problem we have a data set:
Proportion of orders 

No optional features 
0.3 
One Optional feature 
0.5 
More than one optional feature 
0.2 
Here our goal is:
a). We need to find the probability that an order requests at least one optional feature.
b). We need to find the probability that an order does not request more than one optional feature.
Step2 of 3:
a).
Let,
Proportion of orders 

P(X=0) 
0.3 
P(X=1) 
0.5 
P(X=2) 
0.2 
Then,
Therefore, P(An order requests at least one optional feature) = 0.7.
Step3 of 3:
b).
Consider,
Proportion of orders 

P(X=0) 
0.3 
P(X=1) 
0.5 
P(X=2) 
0.2 
Then,
Therefore, P(an order does not request more than one optional feature) = 0.5.