Question

A space shuttle is made up of 774 ​"criticality 1" items. Each​ "criticality 1" item must have​ 99.99% reliability, according to​ standards, meaning that the probability of failure for such an item is 0.0001. Determine the probability that a. none of the​ "criticality 1" items would fail. b. at least one​ "criticality 1" item would fail.

Answer 1

a) 0.9999

b)0.0001

Explanation:

Given that probability of failure is 0.0001

Then;

a) finding the probability that none of the "criticality 1" items would fail will be;

1-0.0001 =0.9999

b)To find the probability of an event occurring at least once it will be the complement of the probability of the event never occurring.

P(at least one)= 1- P(none)

=1-0.9999= 0.0001