Question

2. A manager has two assistants and he bases his decision on information supplied independently by each of them. The probability that he makes a mistake in his thinking is 0.005. The probability that an assistant gives wrong information is 0.3. Assuming that the mistakes made by the manager are independent of the information given by the assistants, find the probability that he reaches a wrong decision.

Answer 1

Answer:

Thus the probability of wrong decision is 0.09

Step-by-step explanation:

• The probability that both the assistants will be right =  [1 - (0.3)^2]
• The probability that both the assistants will be right = 0.7^2
• The probability that both the assistants will be right = 0.49
• The probability that both the assistants will be wrong = 0.3^2 = 0.09
• The probability that one will be wrong and one will be right = 2 x .3 x 0.7
• The probability that one will be wrong and one will be right =  0.42
• Thus the probability of wrong decision is 0.09

Answer 2

the answer is 1.5

Step-by-step explanation: this is correct i had time to work it out on paper