Probability Distributions

Quiz
•
Mathematics
•
12th Grade
•
Hard
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
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
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have more than 7 accidents?
0.3446
0.2856
0.4
0.6554
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the the total area under the standard normal distribution curve?
100
25
.5
1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
μ = 70 , σ = 8 , X = 50 . Find z score
2.5
-2.5
5.2
-5.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Abigail collected data on the heights of 500 students in her school, and the data is normally distributed. HOW MANY students are within two standard deviations of the mean height?
499
475
340
47500
Answer explanation
In a normal distribution, approximately 95% of the data falls within two standard deviations of the mean. For 500 people, this means about 475 people are within this range, making 475 the correct answer.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
This data is normally distributed. What percent of the data is in the shaded region?
68%
95%
99.7%
50%
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Abigail is analyzing the test scores of her class, which are normally distributed. What percent of the scores fall within the shaded region?
68%
95%
99.7%
50%
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