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Mathematics, 29.08.2019 01:10 joy8348

Customers are used to evaluate preliminary product designs. in the past, 93% of highly successful products received good reviews, 51% of moderately successful products received good reviews, and 14% of poor products received good reviews. in addition, 40% of products have been highly successful, 35% have been moderately successful and 25% have been poor products. round your answers to four decimal places (e. g. 98.) what is the probability that a product attains a good review? (b) if a new design attains a good review, what is the probability that it will be a highly successful product? (c) if a product does not attain a good review, what is the probability that it will be a highly successful product?

Answers

ansver

a. 0.5855

b. 0.6354

c. 0.0676

Step-by-step explanation:

Be the events:

E: The product is highly successful

ME: The product is moderately successful

P: The product is poorly successful

B: The product received good reviews

MB: The product received bad reviews

You have then:

P(E) = 0.4000

P(ME) = 0.3500

P(P) = 0.2500

P(B|E) = 0.9300 and P(MB|E) = 1 - P(B|E) = 1 - 0.9300 = 0.0700

P(B|ME) = 0.5100

P(P|E) = 0.1400

a. invoking the total probability theorem, you have:

P(B) = P(B|E)P(E) + P(B|ME)P(ME) + P(B|P)P(P) = (0.9300)(0.4000) + (0.5100)(0.3500) + (0.1400)(0.2500) = 0.5855

b. invoking the Baye's theorem, you have:

P(E|B) = \frac{P(B|E)P(E)}{P(B)} = \frac{(0.9300)(0.4000)}{0.5855} = 0.6354

c. Using the result obtained in a. P(MB) = 1 - P(B) = 1 - 0.5855 = 0.4145, then:

P(E|MB) = \frac{P(MB|E)P(E)}{P(MB)} = \frac{(0.0700)(0.4000)}{0.4145} = 0.0676

ansver
Answer from: Quest

sorry, i'm new here and i'm just trying to figure this out. try quizlet. rate 5* you!

ansver
Answer from: Quest

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

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Customers are used to evaluate preliminary product designs. in the past, 93% of highly successful pr...