Question

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 following would provide convincing evidence that this study did in
fact estimate the true probability very well?
a. Out of 10 randomly chosen college students, 5.5 reported that they had
eaten breakfast that day.
b. Out of 20 randomly chosen college students, 11 reported that they had
eaten breakfast that day.
c. Out of 1,000 randomly chosen college students, 850 reported that they
had eaten breakfast that day.
d. Out of 1,000 randomly chosen college students, 550 reported that they
had eaten breakfast that day.

Answer 1

(47)

Correct option:

b. 253/460

Explanation;

the probability that a randomly chosen college student eats breakfast = Number of favorable events/ Total number of events

                                                                                                    = 253/460

(48)

Correct option:

d. Out of 1,000 randomly chosen college students, 550 reported that they had eaten breakfast that day.

Explanation:

P(B) = the probability that a randomly chosen college student eats breakfast = Number of favorable events/ Total number of events

                                                                                                    = 253/460 = 0.55

So,

for n = 1000, number of expected students with breakfast = 1000 X 0.55 = 550