In a recent survey about appliance ownership, 58.3 of the ...

[MirandaLo]

In a recent survey about appliance ownership, 58.3 of the respondents indicated that they own Maytag appliances, while 23.9 indicated they own both Maytag and GE appliances and 70.7 said they own at least one of the two appliances. Define the events as M = Owning a Maytag appliance G = Owning a GE appliance
 a. What is the probability that a respondent owns a GE appliance?
  b. Given that a respondent owns a Maytag appliance, what is the probability that the respondent also owns a GE appliance?
  c. Are events M and G mutually exclusive? Why or why not? Explain, using probabilities.
  d. Are the two events M and G independent? Explain, using probabilities.

Question 2

Which of the following is not true regarding a concave function?
 a. It is bowl-shaped down.
  b. It is relatively easy to maximize.
  c. It has multiple local maxima.
  d. It has a single global maximum.

[frejo]

Answer to Question 1

a. 0.363
b. 0.4099
c. No, the intersection is 0.239 and not zero
d. No, P(GM) = 0.4099 which is not equal to P(G) = 0.363

Answer to Question 2

c

[MirandaLo]

Thanks for the timely response, appreciate it

[ebonylittles]

Gracias!