There are 3 persons namely x,y and z for a general manager post in a Ltd co and their chance if being selected for the post are in the reatio of 6:4:3. The probability that new product is launched by 3 people,if they are appointed as general manager are 0.5,0.7,and 0.4.what is the probability that the new product will be launched by thnew general manager?
Answers
Given : There are three persons namely x, y and z for a General Manager post in a Ltd. Co., and their chance of being selected for the post are in the ratio of 6:4:3 The probability that new product is launched by 3 people, if they are appointed as General Manager, are 0.5, 0.7 and 0.4 respectively
To Find : probability that the new product will be launched by the new general manager
Solution:
chance of being selected for the post are in the ratio of 6:4:3
Probability of x = 6/13
Probability of y = 4/13
Probability of z = 3/13
probability that new product is launched by x , y & z are 0.5, 0.7 and 0.4 respectively
probability that the new product will be launched by the new general manager
= (6/13) (0.5) + (4/13)(0.7) + (3/13)(0.4)
= 3/13 + 2.8/13 + 1.2/13
= ( 3 + 2.8 + 1.2)/13
= 7/13
7/13 is the probability that the new product will be launched by the new general manager
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