Probability and Statistics Q

Front

What is the probability of event A if P(A) = 1/10?

Back

The probability of event A is 1/10.

Front

What is the complement of an event A with P(A) = 1/10?

Back

The complement of event A is P(A') = 1 - P(A) = 9/10.

Front

In a survey, if 62.5% of respondents have portable earbuds and 40% of those have a smart speaker, what is the probability of having both?

Back

P(Both) = P(Earbuds) * P(Smart Speaker | Earbuds) = 0.625 * 0.40 = 0.25.

Front

What is the probability of selecting a varsity athlete or an honor roll student from a class of 200 with 26 athletes on the honor roll, 56 athletes, and 50 honor roll students?

Back

P(Athlete or Honor Roll) = (P(Athlete) + P(Honor Roll) - P(Athlete and Honor Roll)) = (56/200 + 50/200 - 26/200) = 0.40.

Front

If you test 200 electric hand warmers and find 4 defective, how many defective hand warmers would you expect in a shipment of 5000?

Back

Expected defective = (4/200) * 5000 = 100.

Front

When spinning a spinner with equal sections numbered 1 to 10, are you more likely to get an even or odd number?

Back

You have an equal chance of getting an even or odd number (5 each).

Front

Define probability in the context of statistics.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

What is the formula for calculating the probability of two independent events A and B occurring?

Back

P(A and B) = P(A) * P(B).