(1 point) In a survey of 269 college students, it is found that 69 like brussels

Question

(1 point) In a survey of 269 college students, it is found that
69 like brussels sprouts,
90 like broccoli,
59 like cauliflower,
28 like both Brussels sprouts and broccoli,
20 like both Brussels sprouts and cauliflower,
24 like both broccoli and cauliflower, and
10 of the students like all three vegetables.

a) How many of the 269 college students do not like any of these three vegetables?

b) How many like broccoli only?

c) How many like broccoli AND cauliflower but not Brussels sprouts?

d) How many like neither Brussels sprouts nor cauliflower?

Explanation / Answer

Dear Student Thank you for using Chegg Total Number of Students = N 269 Number of Students like Brussel Sprouts = S 69 Number of Students like brocolli = B 90 Number of Students Like Cauliflower = C 59 Brocolli and Brussel Sprout = SB 28 Brussel Sprout and Cauliflower = SC 20 Brocolli and Cauliflower = CB 24 Brussel Sprout, Brocolli and culiflower = SCB 10 a) Number of students liking 1,2 or all 3 vegetables (X) = n(S) + n(B) + n('C) -n(SB)-n(SC) -n(CB) + n(SCB) = 156 Number of students not liking any of vegetable = N-X = 113 b) ONLY Brussel Sprout = n(S)-n(SB)-n(SC)+n(SCB) = 31 c) like broccoli AND cauliflower but not Brussels sprouts = X- n('C) = 97 d) ONLY Brocolli (Y) = n(B)-n(SB)-n(CB)+n(SCB) = 48 like neither Brussels sprouts nor cauliflower = N-Y (Subtract number of student liking ONLY Brocolli from total number of students = 221

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.