IS pts J Mark Drong regularly oversleeps and misses class Ib

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

Solution

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