In a local mobile phone area,company A accounts for 60% of the mobile phone market,while company B accounts for the remaining 40% of the market.Of the mobile calls made with company A,1% of the calls will have some sort of interference,while 2% of the mobile calls with company B will have interference.
- If a mobile call is selected at random,the probability that it will not have interference is _______.
A) 0.14
B) 0.014
C) 0.028
D) 0.986

Question

In a local mobile phone area,company A accounts for 60% of the mobile phone market,while company B accounts for the remaining 40% of the market.Of the mobile calls made with company A,1% of the calls will have some sort of interference,while 2% of the mobile calls with company B will have interference.
- If a mobile call is selected at random,the probability that it will not have interference is  _______.
A) 0.14
B) 0.014
C) 0.028
D) 0.986

Quizplus · Accepted Answer

Since company A accounts for 60% of the market and company B accounts for 40% of the market, we can use the law of total probability to calculate the overall probability of a mobile call having interference:

P(interference) = P(interference given Company A) * P(Company A) + P(interference given Company B) * P(Company B)
= 0.01 * 0.6 + 0.02 * 0.4
= 0.014

Therefore, the probability of a mobile call not having interference is:

P(no interference) = 1 - P(interference)
= 1 - 0.014
= 0.986

So, the best choice is D.

In a Local Mobile Phone Area,company a Accounts for 60