Question

The probability that a customer's order is not shipped on time is 0.10. A particular customer places three orders, and the orders are placed far enough apart in time that they can be considered to be independent events. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all are shipped on time? Entry field with incorrect answer now contains modified data .001

Answer 1

The probability that all are shipped on time is 0.729

Explanation:

Consider the provided information,

It is given that the probability that a customer's order is not shipped on time is 0.10.

So the probability that a customer's order is shipped on time is:

`1-0.10=0.90`

It is given that we need to consider independent events.

So the probability that all are shipped on time is:

`0.90* 0.90* 0.90=0.729`

Hence, the probability that all are shipped on time is 0.729