Question

c) The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? (

Answer 1

Answer: There is 0.014 proportion of connectors fail during the warranty period.

Step-by-step explanation:

Let A be the event that connector fails.

Let B be the event that connector wet.

P(B) = 10%

P(B') = 90%

P(A|B) = 0.05

P(A|B') = 0.01

So, we need to find the proportion of connectors fail during the warranty period is given by

$P(A)=P(B)P(A|B)+P(B')P(A|B')\\\\P(A)=0.1\times 0.05+0.9\times 0.01\\\\P(A)=0.014$

Hence, there is 0.014 proportion of connectors fail during the warranty period.