A bin contains 3 types of flashlights (Type 1, Type 2, and Type 3.) The probability that a Type 1flashlight will give more than 100 hours of use is 0.7. The corresponding probabilities for Types 2 and 3are 0.4 and 0.3 respectively. Furthermore, assume that 20% of the bin contains Type 1 flashlights, 30% Type 2, and 50% Type 3 flashlights. (a) What is the probability that a randomly chosen flashlight will give more than 100 hours of use? (b) Given that a flashlight has lasted more than 100 hours, what is the probability that it was a Type 2 Flashlight?

(co 3) the times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 9.4 minutes. a random sample of 25 customers has a mean of 36.1 minutes or less. would this outcome be considered unusual, so that the store should reconsider its displays? no, the probability of this outcome at 0.035, would be considered usual, so there is no problem yes, the probability of this outcome at 0.035, would be considered unusual, so the display should be redone no the probability of this outcome at 0.359 would be considered usual, so there is no problem yes, the probability of this outcome at 0.965 would be considered unusual, so the display should be redone