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Probability and Statistical Analysis in Categorical Data Quiz

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What is the probability of rolling a prime number on a fair six-sided die?

1/3

Explanation

Out of the six possible outcomes, two are prime: 2, 3.

In a survey of 500 people, 300 preferred chocolate ice cream, 150 preferred vanilla, and the rest preferred strawberry. What is the probability that a randomly chosen person prefers strawberry ice cream?

0.10

Explanation

Number of people preferring strawberry ice cream = Total people - (Chocolate + Vanilla) = 500 - (300 + 150).

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

39/52

Explanation

Total number of hearts and diamonds / Total number of cards.

What is the mean of the following dataset: {10, 15, 20, 25, 30, 35, 40}?

27.5

Explanation

Mean = (Sum of all numbers) / (Total number of values).

If the odds in favor of an event are 3 to 2, what is the probability of the event occurring?

3/5

Explanation

Probability = Favorable outcomes / Total outcomes.

What is the mode of the following dataset: {2, 3, 5, 7, 2, 8, 2, 9, 2, 7, 6}?

Explanation

The mode is the number that appears most frequently in the dataset.

If events A and B are independent, what is the probability of both events occurring?

P(A) * P(B)

Explanation

Since the events are independent, the probability of both happening is the product of their individual probabilities.

If events A and B are mutually exclusive, what is the probability of either event A or event B occurring?

P(A) + P(B)

Explanation

Since the events are mutually exclusive, the probability of either happening is the sum of their individual probabilities.

A factory produces three types of products: A, B, and C. The probability of producing product A is 0.3, product B is 0.5, and product C is 0.2. What is the probability of producing either product A or product B?

0.7

Explanation

Probability of A + Probability of B.

#10

If events A and B are independent, what is the probability of event A not occurring?

1 - P(A)

Explanation

Probability of not A happening = 1 - Probability of A happening.

#11

In a survey, 60% of people prefer tea and 40% prefer coffee. If a person is randomly selected from the survey, what is the probability that the person prefers both tea and coffee?

0.12

Explanation

Probability of both tea and coffee = Probability of tea * Probability of coffee.

#12

In a class of 30 students, 18 play football, 15 play basketball, and 10 play both football and basketball. What is the probability that a randomly selected student plays either football or basketball?

0.8

Explanation

Probability of football + Probability of basketball - Probability of both.

#13

In a group of 50 students, 30 are girls and 20 are boys. If 15 students play football and 10 play basketball, how many students play neither football nor basketball?

Explanation

Total students - (Football players + Basketball players).

#14

In a survey, 60% of people like apples, 40% like bananas, and 30% like both apples and bananas. What percentage of people like neither apples nor bananas?

20%

Explanation

Percentage of neither = 100% - (Percentage of apples + Percentage of bananas - Percentage of both).

#15

In a factory, there are 80 workers. If 45 workers prefer morning shifts, 35 prefer evening shifts, and 20 workers prefer both shifts, what is the probability that a randomly chosen worker prefers only the evening shift?

0.125

Explanation

Probability of only evening shift = Probability of evening shift - Probability of both shifts.

Probability and Statistical Analysis in Categorical Data Quiz

What is the probability of rolling a prime number on a fair six-sided die?

In a survey of 500 people, 300 preferred chocolate ice cream, 150 preferred vanilla, and the rest preferred strawberry. What is the probability that a randomly chosen person prefers strawberry ice cream?

In a deck of 52 cards, what is the probability of drawing a heart or a diamond?

What is the mean of the following dataset: {10, 15, 20, 25, 30, 35, 40}?

If the odds in favor of an event are 3 to 2, what is the probability of the event occurring?

What is the mode of the following dataset: {2, 3, 5, 7, 2, 8, 2, 9, 2, 7, 6}?

If events A and B are independent, what is the probability of both events occurring?

If events A and B are mutually exclusive, what is the probability of either event A or event B occurring?

A factory produces three types of products: A, B, and C. The probability of producing product A is 0.3, product B is 0.5, and product C is 0.2. What is the probability of producing either product A or product B?

If events A and B are independent, what is the probability of event A not occurring?

In a survey, 60% of people prefer tea and 40% prefer coffee. If a person is randomly selected from the survey, what is the probability that the person prefers both tea and coffee?

In a class of 30 students, 18 play football, 15 play basketball, and 10 play both football and basketball. What is the probability that a randomly selected student plays either football or basketball?

In a group of 50 students, 30 are girls and 20 are boys. If 15 students play football and 10 play basketball, how many students play neither football nor basketball?

In a survey, 60% of people like apples, 40% like bananas, and 30% like both apples and bananas. What percentage of people like neither apples nor bananas?

In a factory, there are 80 workers. If 45 workers prefer morning shifts, 35 prefer evening shifts, and 20 workers prefer both shifts, what is the probability that a randomly chosen worker prefers only the evening shift?

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