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Krishana Reddy was the head of pharmaceutical company that was trying to develop a new product. Reddy, along with his friend Prabhakar Rao, assessed that such products had mixed success, Reddy and Rao realised that if a new product (a drug)was a success/it may result in sales of 100 crore but if it is unsuccessful, the sale may be only 20 crore. They further assessed that a new drug was likely to be successful 50% of times. Cost of launching the new drug was likely to be 50 crore. Now, Reddy and Rao were in a quandary whether the company should go ahead and market the drug. They contacted Raj, a common friend for advice. Raj was of the opinion that given the risky nature of launch, it may be a better idea to test the market. Rao and Reddy realised test marketing would cost 10 crore. Raj told them the previous test meeting results have been unfavourable 70% of times and success rate of products favourably tested was 80%. Further, when marketing results were unfavourable; the products have been successful 30% of the times.

What is the probability of product failure, if Reddy and Rao decides to test market?

(a)

0.21

(b)

0.35

(c)

0.14

(d)

0.28



Question ID - 53352 | SaraNextGen Top Answer

Krishana Reddy was the head of pharmaceutical company that was trying to develop a new product. Reddy, along with his friend Prabhakar Rao, assessed that such products had mixed success, Reddy and Rao realised that if a new product (a drug)was a success/it may result in sales of 100 crore but if it is unsuccessful, the sale may be only 20 crore. They further assessed that a new drug was likely to be successful 50% of times. Cost of launching the new drug was likely to be 50 crore. Now, Reddy and Rao were in a quandary whether the company should go ahead and market the drug. They contacted Raj, a common friend for advice. Raj was of the opinion that given the risky nature of launch, it may be a better idea to test the market. Rao and Reddy realised test marketing would cost 10 crore. Raj told them the previous test meeting results have been unfavourable 70% of times and success rate of products favourably tested was 80%. Further, when marketing results were unfavourable; the products have been successful 30% of the times.

What is the probability of product failure, if Reddy and Rao decides to test market?

(a)

0.21

(b)

0.35

(c)

0.14

(d)

0.28

1 Answer
127 votes
Answer Key / Explanation : (b) -

P(product failure) = P (product failure when test was favourable) + P(product failure when test was unfavourable)

= [0.7×(1−0.80]+[(1−0.7)(1−0.3)]

= 0.35.

127 votes


127