Customers are used to evaluate preliminary product designs. In the past, 95% of highly successful products received good reviews, 60% of moderately successful products received good reviews, and 10% 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. (a) What is the probability that a product attains a good review

The required probability is 0.615.

Step-by-step explanation:

Let A be the event that a product receives good reviews.

Let E₁ be the event that the product is highly successful.

Let E₂ be the event that the product is moderately successful.

Let E₃ be the event that the product is poor.

(a) What is the probability that a product attains a good review.

So, it becomes,

Hence, the required probability is 0.615.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get