Unit 5 and 6 Review

Front

What is the probability of selecting a green marble from a jar if there are 5 green marbles out of a total of 19 marbles?

Back

P(green) = 5/19

Front

In a probability demonstration, if a top is spun 40 times and stops to the left 28 times, what is the relative frequency of it stopping to the left?

Back

Relative frequency = (Number of times stopping left) / (Total spins) = 28/40 = 70%.

Front

How do you calculate the z-score for a normally distributed variable?

Back

Z-score = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the z-score for a player who runs a 40-yard sprint in 5.6 seconds, given a mean of 5.2 seconds and a standard deviation of 0.3 seconds?

Back

Z = (5.6 - 5.2) / 0.3 = 1.33.

Front

If you flip a coin 20 times, what is the probability of getting exactly 10 heads?

Back

The probability is calculated using the binomial probability formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k). For 10 heads in 20 flips, it is approximately 17.62%.

Front

What is the expected number of times a spinner will land on a section labeled 5 if it is spun 150 times and has equal sections?

Back

If the spinner has 5 equal sections, the expected number is (1/5) * 150 = 30.

Front

Define relative frequency in probability.

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials.

Front

What is the mean in a normal distribution?

Back

The mean is the average value of a set of data, which is the center of the normal distribution.

Front

What does a standard deviation indicate in a data set?

Back

Standard deviation measures the amount of variation or dispersion in a set of values.

Front

How do you interpret a z-score of 1.33?

Back

A z-score of 1.33 indicates that the value is 1.33 standard deviations above the mean.