1.
For Pearson’s correlation, if X increases Y increases, and when X decreases Y you don’t know. Pearson’s r should be close to which of the below values?
2.
Suppose all salaries in a company are normally distributed, with a mean of $70,000 and a standard deviation of $10,000. If all salaries are doubled. What is the new mean and standard deviation?
A.
Mean = 140,000 and std = $20,000
B.
Mean = 70,000 and std = $10,000
C.
Mean = 140,000 and std = $10,000
D.
Mean = 120,000 and std = $15,000
3.
Consider a ball that is kicked by a mean of 10 feet in the right direction and with a standard deviation of 1 foot, it is then kicked back in the opposite direction towards where it was started by 5 feet but with a standard deviation of 0.5. What are the mean and standard deviation of this new Gaussian distribution of the distance?
4.
Covariance indicates the strength of the linear relationship between variables.
5.
Correlation measures both the strength and direction of the non-linear relationship between two variables.
6.
IQ is distributed with a mean of 100 and a variance of 225. What is the standard score for IQ of 130?
7.
Is the below relationship Linear and Exact?
8.
Given a Summer/Winter classification problem:
Winter is 165 days and Summer is 200 days. The temperature is uniformly distributed between 5 - 25 degrees in Winter and 22 - 24 in Summer. What is the classification of the day that temperature is 23 degrees?
9.
You are given a revolver with six slots. There are two adjacent bullets. You have to shoot twice and are given the chance to rotate the cylinder randomly in-between. How do you maximize your chance of survival?
A.
B.
C.
It doesn't matter, as survival chance is the same in both cases
D.
The question doesn't give all information required to answer the question
10.
Set S consists of the numbers 4, 10, 12, 7, 19, 10, 5, and x. For what value of x will the mode, the median, and the mean all be equal?
11.
If the variance of a dataset is 50 and all data points are increased by 100% then what will be the variance?
12.
If you have a dataset with n observations and mean m. What will be the new mean if you add 5 to each data point?
13.
Given the following distribution
Which of the following statements is true?
14.
What is the number of observations in a dataset with variance 5 if the sum of squared distances from the mean is 20?
15.
Rank the below correlation coefficient from lowest to highest coefficient.
16.
Given that we have a probability of rain = 0.2 on a given day. What is the probability of having rain at least 2 days during the week?
17.
Which statistical measurement is affected by outliers the most?
18.
You have n numbers that must sum to 10. How many degrees of freedom are there?
19.
Subtracting two Gaussian Distributions results in:
A.
Mean is subtracted and standard deviation is added
B.
Mean is subtracted and variance is added
C.
Mean is subtracted and standard deviation is subtracted
D.
Mean is subtracted and variance is subtracted
20.
Given a bag of marbles with 8 red marbles, 4 blue marbles, and 5 green marbles.
Removing marbles one at a time from the bag, what is the likelihood of removing 4 marbles without removing a green marble?