Question

From a sample of 9,750 Ajax trucks, 273 developed transmission problems within the first two years of operation. What is the probability that an Ajax truck will develop transmission problems within the first two years?

Answer 1

0.028

Explanation:

Let sample space, S, be the trucks.

Hence, n(S)= number of trucks=9750

Let E be the event of the truck failing within the first two years of operation.

Hence, n(E)=273

Therefore by classical definition of probability, the probability of occurrence of the event E, denoted by P(E), is

P(E)=
`(n(E))/(n(S))`=
`(number of trucks failed within two years of operation)/(Total number of trucks)`

⇒P(E)=
`(273)/(9750)`=0.028