
Algebra 2 Probability, Normal Distribution and Z Score
Authored by Anthony Clark
Mathematics
12th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Is this a probability distribution?
No, the sum of p(x) does not equal 1.
Yes, all p(x) are between 0 and 1.
No, all p(x) are not between 0 and 1.
Yes, the sum p(x) is 1.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)
96.2%
13.2%
8.31%
25.0
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given that there was no peanut butter, what is the probability that they were not brownies?
0.88
0.58
0.05
0.12
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A machine fills plastic bottles with mineral water. The volume of mineral water that the machine pours into each bottle follows a normal distribution with the mean of 498ml and a standard deviation of 3.4ml. Each bottle has a maximum capacity of 506ml. On the label of each bottle is printed the statement: Contents 500ml.
Find the probability that a bottle chosen by random has a volume less than 500 ml
0.278
-0.278
0.722
0.498
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?
0.962
0.132
0.831
0.250
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 22%.
69.37 in
67.58 in
73.12 in
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
-1.33
1.33
0.88
1.02
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