1. A college survey claimed that 61% of students took English composition, 45% t

Question

1. A college survey claimed that 61% of students took English composition, 45% took calculus, 15% took both, and 13% took neither. Show that these figures cannot be correct.

a)The real percentage that took both classes is 13, not 15% as claimed by the survey.

b)The real percentage that took neither class is 15, not 13% as claimed by the survey.

c)The real percentage that took neither class is 9, not 13% as claimed by the survey.

d)The real percentage that took both classes is 9, not 15% as claimed by the survey.

2. 5 dice are rolled, whats the probabality of all having different outcomes?

Explanation / Answer

1.

Keeping rest of the given percentages fixed, if real percentage that took neither class is changed from 13% to 9%, then row marginal becomes 0.55, and therefore, the column marginal (total) becomes 1.00.

Ans>c

2. For the roll of 5 dice, the outcomes are as follows:

(1,2,3,4,5,6), (2,1,3,4,5,6), (3,1,2,4,5,6), ...

Thus we see that the 6 numbers can be arranged among themselves in 6! ways.

P(all having different outcomes)=6!/6^5 [the total outcomes of rolling 5 dice is 6^5]

=720/7776

=0.0926 (ans)

English Yes No Total Calculus Yes 0.15 0.30 0.45 No 0.46 0.13 0.59 Total 0.61 0.43 1.04

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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