MC 5.1-5.4
STATS 2.C
Name Bryson Mork Per 5
Calculate summary statistics, relative positions of points within a distribution, correlation, and predicted response
1. A statistics teacher plays a game with her class every Friday during the month of January. A fair six-sided die is rolled. If the result is a 5 or 6, the class has a quiz over the week's content. If the result is anything else,
there will be no quiz. January has 4 Fridays. Let 9 = the number of quizzes taken during the month of
January.
a. Calculate and interpret No. (Mean/Expected value)
b. Interpret 0o. (Standard deviation): 0.889
The probability distribution of O is shown here.
Quizzes
0
1
2
Probability
0.1975
0.3951
0.2963
3
0.0988
4
0.0123
c. Find the probability that the class takes at least 2 quizzes.
d. Find the probability that the class takes fewer than 3 quizzes.
e. From February through June, the teacher plays the same game for all 18 Fridays. The students ended up having quizzes on 9 of the 18 Fridays. They claimed the die was unfair because they had quizzes on half of the Fridays! Are you convinced the die was unfair? Compute the probability P(≥ 9) and use this result to support your answer.