Question

What are the breakfast-eating habits of college students? A group
of 460 college students was surveyed over several typical weekdays,
and 322 of them reported that they had eaten breakfast that day.
Let B be the event of interest—that a college student eats
breakfast.

a) Based on this information, what is the estimate of P(B),
the probability that a randomly chosen college student eats
breakfast?

b) Which of the following would provide even more convincing
evidence that, indeed, P(B) is roughly what you estimated above?
Check one and explain your choice:

• Out of 10 randomly chosen college students, 7 reported that
they had eaten breakfast that day.

• Out of 20 randomly chosen college students, 14 reported that
they had eaten breakfast that day.

• Out of 1,000 randomly chosen college students, 700 reported
that they had eaten breakfast that day.

Explanation:

Answer #1

a.

P(B) = (no. of students that reported they had breakfast)/(total students surveyed)

= 322/460

= 0.7

b.

answer : the most convincing :

Out of 1,000 randomly chosen college students, 700 reported that they had eaten breakfast that day.

Explanation :

proprtions(p) : 7/10 = 14/20 = 700/1000 = 0.7 = P(B)

the proportion is same for all samples

variance = p*(1-p)/n = 0.7*(1-0.7)/n = 0.21/n

The higher the sample size the more convincing it will be as the variance will be lower so the sample with 1000 college students in which 700 reported that they had eaten breakfast that day is the most convincing

**(please UPVOTE)**

A group of 460 college students was surveyed over several
typical weekdays, and
253 of them reported that they had eaten breakfast that day. Let B
be the event that a
college student eats breakfast.
47.Based on this information, what is the estimate of P(B), the
probability that a
randomly chosen college student eats breakfast?
a. 253
b. 253/460
c. It is impossible to tell
d. We cannot estimate probabilities: we either know them or we
don’t.
48.Which of the...

2) The table lists the drinking habits of a group of college
students.
Sex
Non-Drinker
Regular Drinker
Heavy Drinker
Total
Man
135
31
5
171
Woman
187
21
7
215
Total
322
52
12
386
a. If a student is chosen at random, find the probability of
choosing a regular or a heavy drinker.
b. If a student is chosen at random, find the probability of
getting a man or non-drinker..

The table lists the drinking habits of a group of college
students. If a student is chosen at random, find the probability of
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Sex: Non-drinker Regular Drinker Heavy Drinker Total
Man 135 52 5 192
Woman 187 21 15 223
Total 322 73 20 415

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