(d) The student prefers decaffeinated coffee, given that the student being selected from the male students. (e) The student is male, given that the student prefers decaffeinated coffee.

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Parts d and e
DETAILS
A university cafeteria surveyed the students who ate breakfast there for their coffee preferences. The findings are summarized as follows:
Do not Prefer
drink regular decaffeinated
coffee coffee
Prefer
coffee
Total
Female
21
141
61
223
Male
18
196
48
262
Total
39
337
109
485
A student is selected at random from this group. Find the probability of the following. (Round your answers to four decimal places.)
(a) The student does not drink coffee.
0.0804
(b) The student is male.
0.5402
(c) The student is a female who prefers regular coffee.
0.4184
(d) The student prefers decaffeinated coffee, given that the student
selected from the male students.
(e) The student is male, given that the student prefers decaffeinated coffee.
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Transcribed Image Text:DETAILS A university cafeteria surveyed the students who ate breakfast there for their coffee preferences. The findings are summarized as follows: Do not Prefer drink regular decaffeinated coffee coffee Prefer coffee Total Female 21 141 61 223 Male 18 196 48 262 Total 39 337 109 485 A student is selected at random from this group. Find the probability of the following. (Round your answers to four decimal places.) (a) The student does not drink coffee. 0.0804 (b) The student is male. 0.5402 (c) The student is a female who prefers regular coffee. 0.4184 (d) The student prefers decaffeinated coffee, given that the student selected from the male students. (e) The student is male, given that the student prefers decaffeinated coffee. Viewing Saved Work Revert to Last Response 11,569 25 MacBook Pro a Search or type URL esc ! @ # $ % & 1 3 4 5 9 Q W R Y G K A C V N M
Expert Solution
Step 1

Given: data

To find

i) P(student prefer decaffeinated | student is male)

ii) P(student is male | student prefer decaffeinated)

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