A data scientist is comparing two probability distributions for a random variable. Distribution A is uniform between 0 and 10. Distribution B is normal with mean 5 and standard deviation 2. Which distribution has a higher variance?

The variances cannot be compared because the distributions are different types.

Distribution B, because its standard deviation is 2.

Both have the same variance because they have the same mean.

Distribution A, because its variance is approximately 8.33.

GIAC Machine Learning Engineer

Domain 1Objective 3

Probability and Frequency GMLE Practice Questions (Page 6)

Part of the Foundational Data Science and Statistics domain, which makes up ~41% of our current practice bank. GIAC (SANS) does not publish an official question count, but from its 180-minute exam (~70–120 total, ~29–49 in this domain), expect 7–12 from this objective — we provide 46 practice questions to prepare you well beyond it. (estimate)

46questions here

10free pages

7concepts

Questions 26–30

26expert · medium
A marketing team is analyzing customer behavior. The probability that a customer clicks an ad is 0.3. The probability that a customer makes a purchase given that they clicked the ad is 0.2. What is the probability that a customer both clicks the ad and makes a purchase?
Select an answer first
27expert · hard
A data scientist is comparing two probability distributions for a random variable. Distribution A is uniform between 0 and 10. Distribution B is normal with mean 5 and standard deviation 2. Which distribution has a higher variance?
Select an answer first
28application · medium
A medical device company is developing a diagnostic test for a rare disease. The disease prevalence is 0.5%. The test has a sensitivity of 95% (true positive rate) and a specificity of 90% (true negative rate). A patient tests positive. What is the probability that the patient actually has the disease?
Select an answer first
29application · easy
A logistics company models delivery time (in hours) as a continuous uniform distribution from 2 to 6 hours. What is the expected delivery time?
Select an answer first
30application · easy
In a dataset of 500 user sessions, 120 sessions resulted in a purchase. What is the relative frequency of purchase sessions?
Select an answer first

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Probability and Frequency GMLE Practice Questions (Page 6)

Questions 26–30

A marketing team is analyzing customer behavior. The probability that a customer clicks an ad is 0.3. The probability that a customer makes a purchase given that they clicked the ad is 0.2. What is the probability that a customer both clicks the ad and makes a purchase?

A data scientist is comparing two probability distributions for a random variable. Distribution A is uniform between 0 and 10. Distribution B is normal with mean 5 and standard deviation 2. Which distribution has a higher variance?

A logistics company models delivery time (in hours) as a continuous uniform distribution from 2 to 6 hours. What is the expected delivery time?

In a dataset of 500 user sessions, 120 sessions resulted in a purchase. What is the relative frequency of purchase sessions?

Keep studying — Foundational Data Science and Statistics