Question

Help please, but more importantly, I am really trying hard to figure out how, you arrive at the answer. Thanks in advance!

A recent social survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.

Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?

b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?

c. What is the relative frequency of a female who prefers Microsoft?ocial survey asked respondents whether they like Apple or Microsoft. The responses were recorded in the following table.

Male Female Total
Apple 152 194 346
Microsoft 168 126 294
Total 320 320 640
a. A respondent is randomly selected among those that prefer Apple, what is the probability that the respondent will be female?

b. A respondent is randomly selected among those that are Male, what is the probability that the respondent prefers Apple?

c. What is the relative frequency of a female who prefers Microsoft?

Answer 1

Explanation:

#1

A) P(FEMALE|APPLE)

apple total = 346

apple/female = 194

194/346 = .56 = 56 %

B) P(APPLE|MALE)

male total = 320

apple male = 152

152/320 = .475 = 47.5%

C) female prefer Microsoft

152:168 = 76:84 = 38:42 = 19:21

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