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Statistics & Probability Review
Statistics & Probability Review
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1
Is this a probability distribution?
Yes, all p(x) are between 0 and 1.
Yes, the sum p(x) is 1.
No, the sum of p(x) does not equal 1.
No, all p(x) are not between 0 and 1.
2
The table represents the probability of true-false quiz. Find the probability for at least 4 questions correct.
0.03125
0.1875
0.3125
0.15625
3
A discrete random variable X has the probability distributions shown in the table. Find the value of k.
1/12
1/4
1/3
7/12
4
A data set has a mean of 300 and a standard deviation of 40. What value would have a z-score of z=-2?
296
308
298
220
5
In a normal distribution curve, what is the area to the left of the mean?
0
0.25
1
0.5
6
In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. What is the mean?
2
1.27
1.97
2.13
7
Which of the following is a measure of spread of random variable?
variance
probability
expected value
mean
8
Find the Z-score.: Mean = 22; Standard Deviation: 3.1; X = 29
1.26
-2.26
16.45
2.26
9
What is always the z-score for the mean?
-1
1
It doesn't have one
0
10
Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?
16%
2.5%
34%
81.5%
11
State whether it is Discrete or Continuous: The weight of parcels at a post office.
Discrete
Continuous
n/a
n/a
12
Find the area under the standard normal curve that is to the left of z=0.88.
-1.17505
1.17505
0.18942
0.81057
13
In an exam, the mean was 73 points and the standard deviation was 9.2 points. Find the probability of scores under 58.
0.9485
0.0515
0.5531
0.6521
14
State whether it is Discrete or Continuous: A film critic's rating of a film, 0 to 4 stars.
n/a
n/a
Continous
Discrete
15
Which is NOT true about the normal distribution curve?
The mean, median, and mode are approximately equal
The smaller the standard deviation, the less spread in the curve.
It is asymmetrical.
It is bell-shaped.