In a recent survey of computer ownership, 73.4 of the respondents ...

[nummyann]

In a recent survey of computer ownership, 73.4 of the respondents indicated they own PC computers, while 21.8 indicated they own both PC and Mac computers, and 80.1 said they own at least one of the two computers.
 a. What is the probability that a respondent owns a Mac computer?
  b. Given that a respondent owns a PC, what is the probability that the respondent also owns a Mac?
  c. Are events P and M mutually exclusive? Why or why not? Explain using probabilities.
  d. Are the two events P and M independent? Explain, using probabilities.

Question 2

The composite unit in data envelopment analysis
 a. has as input a weighted average of the inputs of the individual units.
  b. has outputs greater than or equal to the outputs of any individual unit.
  c. has as output a weighted average of the outputs of the individual units.
  d. All of the alternatives are correct.

[cassie_ragen]

Answer to Question 1

a. 0.285
b. 0.297
c. No, because P(P  M)  0
d. No, because P(P  M)  P(P) P(M)

Answer to Question 2

d

[nummyann]

Thanks for the timely response, appreciate it

[gcook]

Great answer, keep it coming