Question

Orders for a computer are summarized by the optional features that are requested. The proportion of orders with no optional features is 0.36. The proportion of orders with one optional feature is 0.23. The proportion of orders with more than one optional feature is 0.41.

(a) What is the probability that an order requests at least one optional feature? Round your answer to two decimal places (e.g. 98.76).

(b) What is the probability that an order does not request more than one optional feature? Round your answers to two decimal places (e.g. 98.76).

Answer 1

(a) The probability is 0.64

(b) The probability is 0.59

Explanation:

Say that an order requests at least one optional feature is equivalent to say that an order request one or more than one optional feature, So the probability can be calculated as the sum of this two proportions:

P = 0.23 + 0.41 = 0.64

Where 0.23 is the proportion or probability that an order request one optional feature and 0.64 is the probability that an order request more than one optional feature.

On the other hand, say that an order does not request more than one optional feature is equivalent to say that an order request zero or one optional feature, So the probability in this situation can be calculated as the sum of:

P = 0.36 + 0.23 = 0.59

Where 0.36 is the probability that an order doesn't request optional features and 0.23 is the probability that an order request one optional feature.