# Question

Semiconductor lasers used in optical storage products require higher power levels for write operations than for read operations. High-power-level operations lower the useful life of the laser. Lasers in products used for backup of higher speed magnetic disks primarily write, and the probability that the useful life exceeds five years is 0.95. Lasers that are in products that are used for main storage spend approximately an equal amount of time reading and writing, and the probability that the useful life exceeds five years is 0.995. Now, 25% of the products from a manufacturer are used for backup and 75% of the products are used for main storage. Let A denote the event that a laser’s useful life exceeds five years, and let B denote the event that a laser is in a product that is used for backup. Use a tree diagram to determine the following:

(a) P (B)

(b) P (A|B)

(c) P (A|B’)

(d) P (A ∩ B)

(e) P (A ∩ B’)

(f) P (A)

(g) What is the probability that the useful life of a laser exceeds five years?

(h) What is the probability that a laser that failed before five years came from a product used for backup?

(a) P (B)

(b) P (A|B)

(c) P (A|B’)

(d) P (A ∩ B)

(e) P (A ∩ B’)

(f) P (A)

(g) What is the probability that the useful life of a laser exceeds five years?

(h) What is the probability that a laser that failed before five years came from a product used for backup?

## Answer to relevant Questions

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 ...The data from 200 machined parts are summarized as follows: Depth of bore Above Below Edge condition Target Target Coarse 15 10 Moderate 25 20 Smooth 50 80 (a) What is ...The probability of getting through by telephone to buy concert tickets is 0.92. For the same event, the probability of accessing the vendor’s Web site is 0.95. Assume that these two ways to buy tickets are independent. ...A lot of 50 spacing washers contains 30 washers that are thicker than the target dimension. Suppose that three washers are selected at random, without replacement, from the lot. (a) What is the probability that all three ...A manufacturing process consists of 10 operations that can be completed in any order. How many different production sequences are possible?Post your question

0