Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions.

Active Learning Lecture Slides For use with Classroom Response Systems

Probability Distributions

6.1 All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days?

a) 0.1b) 0.5c) 0.6d) 1.0e) None of the above

No. Times

Newspaper

Probability

0 0.25

1 0.05

2 0.10

3 0.10

4 0.15

5 0.35

6.1 All students in a class were asked how many times they had read the city newspaper in the past 5 days. The data is in the chart below. What proportion read the newspaper more than 3 times in the past 5 days?

a) 0.1b) 0.5c) 0.6d) 1.0e) None of the above

No. Times

Newspaper

Probability

0 0.25

1 0.05

2 0.10

3 0.10

4 0.15

5 0.35

6.6 Which of the following is NOT a property of the normal distribution?

a) It is symmetric.

b) It is bell-shaped.

c) It is centered at the mean, 0.

d) It has a standard deviation, .

e) All of the above are correct.

6.6 Which of the following is NOT a property of the normal distribution?

a) It is symmetric.

b) It is bell-shaped.

c) It is centered at the mean, 0.

d) It has a standard deviation, .

e) All of the above are correct.

6.7 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. What proportion of SAT scores are higher than 450?

a) 0.5

b) 0.5557

c) 0.6915

d) 0.3085

e) 0.7257

6.7 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. What proportion of SAT scores are higher than 450?

a) 0.5

b) 0.5557

c) 0.6915

d) 0.3085

e) 0.7257

6.8 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. If someone scored at the 90th percentile, what is their SAT score?

a) 608

b) 618

c) 628

d) 638

e) 648

6.8 Scores on the verbal section of the SAT have a mean of 500 and a standard deviation of 100. Scores are approximately normally distributed. If someone scored at the 90th percentile, what is their SAT score?

a) 608

b) 618

c) 628

d) 638

e) 648

6.9 What is the standard normal distribution?

( , )N ( , )N (1,0)N(0,1)N( , )N z z

6.9 What is the standard normal distribution?

( , )N ( , )N (1,0)N(0,1)N( , )N z z

6.10 There are two sections of Intro Statistics and they both gave an exam on the same material. Suppose that Megan made an 83 in 2nd period and Jose made an 85 in 3rd period. Using the information below. Who scored relatively higher with respect to their own period?

2nd period 3rd period

Mean 80 82

Standard Deviation 5 6

a) Jose

b) Megan

c) They are the same

d) Cannot be determined