Aptitude & Reasoning · Question Set

Probability & Statistics (Basics) – Aptitude & Reasoning interview questions

Probability & Statistics (Basics) interview questions for placements and exams.

Subject: Aptitude & ReasoningDifficulty: Mixed17 questions in this set

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Aptitude & Reasoning – Probability & Statistics (Basics) questions (17)

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1. Test scores are normal with mean 70 and SD 10. What is P(score > 85)?

Difficulty: MediumType: MCQTopic: prob basic

z = (85−70)/10 = 1.5. From standard normal, P(Z>1.5) ≈ 0.0668.

Example code

z = 1.5 ⇒ P(Z>1.5)≈0.0668

2. Which correlation coefficient indicates the strongest negative linear relationship?

Difficulty: Easy

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Probability & Statistics (Basics) – Aptitude & Reasoning interview questions

Set overview

Aptitude & Reasoning – Probability & Statistics (Basics) questions (17)

1. Test scores are normal with mean 70 and SD 10. What is P(score > 85)?

2. Which correlation coefficient indicates the strongest negative linear relationship?

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3. From a standard 52-card deck, one card is drawn and not replaced, then another. What is the probability first is red and second is black?

4. Find the median of the data: 5, 1, 9, 3, 7, 11.

5. What is the mode of the dataset [2, 3, 3, 4, 4, 4, 5]?

6. For the population data {1, 2, 3, 4}, what is the variance?

7. A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

8. Calls arrive at a helpdesk at a mean rate of 2 per minute (Poisson). What is the probability of exactly 3 calls in a minute?

9. By the empirical (68–95–99.7) rule for a normal distribution, approximately what percent of observations lie within 2 standard deviations of the mean?

10. Which sampling method selects every k-th item from an ordered list?

11. What is the expected value of a fair six-sided die roll?

12. For a fair six-sided die, what is the variance of the outcome (population variance)?

13. From a standard deck, what is the probability of drawing an Ace or a Spade in a single draw?

14. What is the mean of the numbers 2, 4, 6, 8, 10?

15. If P(A)=0.4, P(B)=0.5 and P(A∩B)=0.2, find P(A∪B).

16. Two fair dice are rolled. What is the probability of getting at least one six?

17. A disease has prevalence 1%. A test has sensitivity 99% and specificity 95%. If a person tests positive, what is the approximate probability they actually have the disease?

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Probability & Statistics (Basics) – Aptitude & Reasoning interview questions

Set overview

1. Test scores are normal with mean 70 and SD 10. What is P(score > 85)?

2. Which correlation coefficient indicates the strongest negative linear relationship?

Continue your preparation

3. From a standard 52-card deck, one card is drawn and not replaced, then another. What is the probability first is red and second is black?

4. Find the median of the data: 5, 1, 9, 3, 7, 11.

5. What is the mode of the dataset [2, 3, 3, 4, 4, 4, 5]?

6. For the population data {1, 2, 3, 4}, what is the variance?

7. A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

8. Calls arrive at a helpdesk at a mean rate of 2 per minute (Poisson). What is the probability of exactly 3 calls in a minute?

9. By the empirical (68–95–99.7) rule for a normal distribution, approximately what percent of observations lie within 2 standard deviations of the mean?

10. Which sampling method selects every k-th item from an ordered list?

11. What is the expected value of a fair six-sided die roll?

12. For a fair six-sided die, what is the variance of the outcome (population variance)?

13. From a standard deck, what is the probability of drawing an Ace or a Spade in a single draw?

14. What is the mean of the numbers 2, 4, 6, 8, 10?

15. If P(A)=0.4, P(B)=0.5 and P(A∩B)=0.2, find P(A∪B).

16. Two fair dice are rolled. What is the probability of getting at least one six?

17. A disease has prevalence 1%. A test has sensitivity 99% and specificity 95%. If a person tests positive, what is the approximate probability they actually have the disease?

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