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BlackZzzverrR [31]
4 years ago
9

slader An electronics company is planning to introduce a new camera phone. The company commissions a marketing report for each n

ew product that predicts either the success or failure of the product. Of new products introduced by the company, 60% have been successes. Furthermore, 70% of their successful products were predicted top be successes, while 40% of failed products were predicted to be successes. Find the probability that this new camera phone will be successful if its success has been predicted.
Mathematics
1 answer:
inysia [295]4 years ago
8 0

Answer: Our required probability is 0.7241.

Step-by-step explanation:

Since we have given that

Probability that new product have been successes P(S) = 60%

Probability that new product have not been successes P(F) = 40%

Probability that their successful products were predicted to be successes = P(A|S)=70%

Probability that their failed products were predicted to be successes =P(A|F) = 40%

So, Probability that this new camera phone will be successful if its success has been predicted is given by

P(S|A)=\dfrac{P(S).P(A|S)}{P(S).P(A|S)+P(F).P(A|F)}\\\\P(S|A)=\dfrac{0.7\times 0.6}{0.7\times 0.6+0.4\times 0.4}\\\\P(S|A)=0.7241

Hence, our required probability is 0.7241.

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What is the maximum number of chairs and tables Ben can make in a month.

Answer:

Maximum number of tables he can make per month = 100 tables

Maximum number of chairs he can make per month = 400 chairs

Step-by-step explanation:

He is not able to make more than 500 pieces of furniture per month

Also, he needs to make at least 25 tables and at least 100 chairs each month.

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