AMDM - "Are You Ready"?

Front

What is the probability of drawing a blue marble from a bag containing 3 red, 2 blue, and 5 green marbles?

Back

The probability is calculated as the number of favorable outcomes divided by the total number of outcomes. Here, P(blue) = \frac{2}{10} = \frac{1}{5}.

Front

What type of study contains a treatment?

Back

An experimental study contains a treatment, while an observational study does not.

Front

What is the probability of hitting a target two times in a row if the probability of hitting it once is 63%?

Back

The probability of hitting the target two times in a row is calculated as P(hit) \times P(hit) = 0.63 \times 0.63 = 0.3969 or 39.69%.

Front

How do you calculate a student's class average from test scores, final exam, homework, and classwork?

Back

To calculate the average, sum all scores and divide by the number of scores. For example, (95 + 72 + 81 + 90 + 84 + 98 + 88) / 7 = 86.1.

Front

What is the probability of flipping a fair coin and getting heads?

Back

The probability is P(heads) = \frac{1}{2} since there are two equally likely outcomes: heads or tails.

Front

Define probability in the context of a random experiment.

Back

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

Front

What is the formula for calculating the probability of an event?

Back

The formula is P(E) = \frac{number \ of \ favorable \ outcomes}{total \ number \ of \ outcomes}.

Front

Explain the difference between experimental and observational studies.

Back

Experimental studies involve manipulation of variables and treatment, while observational studies involve observing subjects without intervention.

Front

What is a tree diagram and how is it used in probability?

Back

A tree diagram is a visual representation of all possible outcomes of an event, used to calculate probabilities of compound events.

Front

How do you find the expected value in probability?

Back

The expected value is calculated as E(X) = \sum (x_i \cdot P(x_i)) where x_i are the outcomes and P(x_i) are their probabilities.