Question

Ultra-Smart Research company inspects its toy robot production line with an intelligence process. Ultra-Smart Research only allows perfect toy robots to be sold as “Ultra-Smart Toys” in the department stores. Any toy robots with flaws will be marked as “B-Stock Toys” and then be sold online. Ultra-Smart Research has a very strict intelligent inspection system. The intelligent system finds a toy robot to only have a 40% probability to be perfect and a 60% probability to have flaws. The perfect “Ultra-Smart Toys” are sold with a unit profit of $190 per toy robot. The flawed toy robots are marked and later repaired to be sold as “B-Stock Toys” with a unit profit of $75 per toy robot. In June 2020, a batch of 9 toy robots from Ultra-Research company’s production line is collected.

What is the probability that more than half of this June 2020 batch turn out to be “B-Stock Toys”?

Answer 1

P(x b-stock toys) = 9Cx * (0.6^x) * (0.4)^(9-x)

P(more than half) = P(x>=5)

ANSWER : probability that more than half of this June 2020 batch turn out to be B-Stock Toys = 0.7334

(please UPVOTE)