Probability and Distributions Quiz

Nia is playing a game where she tosses a coin 3 times. What is the probability of getting at most two heads?

• 3/8

• 7/8

• 1/8

• 5/8

Avani randomly selects an urn, and a red ball is drawn. What is the probability that it came from Urn 1?

• 1/3

• 6/19

• 1/2

• 5/19

Arnav is playing a card game and wants to know the probability that a card drawn randomly from a deck of 52 cards is an Ace.

• 1/13

• 4/52

• 1/4

• Both (a) and (b)

Shreya is conducting an experiment where the probability of success in each trial is 0.3. If she performs 5 trials, what is the probability of exactly 2 successes?

• 0.16308

• 0.24528

• 0.30258

• 0.52942

What is the probability of receiving exactly 10 calls in an hour at Amrita's customer service center? (Use λ = 12)

• 0.1044

• 0.1266

• 0.1452

• 0.1562

In a normal distribution of test scores in Arya's class, approximately what percentage of students scored within one standard deviation of the mean?

• 50%

• 68%

• 95%

• 99.7%

Rounak and Amrita are studying probability. If P(A) = 0.5, P(B) = 0.4, and P(A ∩ B) = 0.2, what is P(A|B)?

• 0.2

• 0.5

• 0.4

• 0.25

In a business meeting, Adhysha is discussing various applications of probability. She mentions several scenarios, but one of them does not actually apply probability in business. Which of the following is **not** an application of probability in business?

• Forecasting sales using scenario planning

• Estimating employee attendance rates

• Determining the depreciation rate of machinery

• Risk management for cyberattacks

Nia is playing a game where she rolls a dice. What is the expected value of the outcome when the dice is rolled?

• 3.5

• 4

• 3

• 6

In a standard normal distribution, if Udita measures the heights of her classmates and finds that the average height is 0 inches with a standard deviation of 1 inch, what can we say about the mean and standard deviation of this distribution?

• Mean = 0, Standard Deviation = 1

• Mean = 1, Standard Deviation = 1

• Mean = 0, Standard Deviation = 0

• Mean = 1, Standard Deviation = 0