IS pts. J Mark Drong regularly oversleeps and misses class Ibecause hn·larm k ck

Question

IS pts. J Mark Drong regularly oversleeps and misses class Ibecause hn·larm k ck tw clown. Assume there's a 15% chance that on any day him up because it broke down. If Mark were to use 4 alarm clocks each has . chance of not working), show HOW the probability rules from chaptcr 4 can be uned to find the probability that at least one alarm clock works and he wakes up on une s Mark's alarm clock will ot wake [10 pts] 6. X represent the number of defective DVD's in the batch. (a) Use the given Probability Distribution of to compute and . Use When manufacturing DVD for Sony, batches of DVDs are randomly sel formulas and show all work in the table as demonstrated in class. 502 .365 119 011 003 0 2

Explanation / Answer

Calculate mean and E(x^2) using the following table

Mean =0.648

E(X^2) = 0.161946

Var(x) = 0.161946-0.648^2

= 0.568096

Std dev = 0.753721

x P(X) xp x^2p 0 0.502 0 0 1 0.365 0.365 0.133225 2 0.119 0.238 0.028322 3 0.011 0.033 0.000363 4 0.003 0.012 0.000036 1 0.648 0.161946

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