Probability and Statistics - Review

A data set ranges from 30 to 78. To create about six equal‑width histogram classes, which class width is best?

A school randomly selects 20 students in grade nine math classes.

Five random digits form a bike‑lock combination. What is the probability at least one digit is 0?

Six cards are drawn with replacement from a standard deck; Y = number of hearts. Which distribution fits Y?

Two fair six-sided dice are rolled. What is the probability their sum is divisible by 5?

Eight digits (0–9) are chosen at random for a locker code. What is P(exactly two of them are 0)?

A museum interviews every 30th visitor through the main entrance. Which sampling method is used?

Six cards are drawn without replacement; Z = number of hearts. Which distribution models Z?

Which measure of central tendency is least affected by adding a single extreme outlier to a data set?

What is the expected number of hearts drawn from a standard deck in a hand of 5 with replacement?

A continuous random variable U is uniformly distributed on with mean =2, stdev = 6. What % of data is between 2 and 8?

Twelve fair coins are flipped. What is P(exactly 3 heads)?

Given the data set {12, 14, 14, 15, 16, 16, 16, 17, 20, 22}, what is the mode?

A die is rolled until the third '6' appears. Which distribution models the number of rolls required?

Five identical checkers are tossed onto a standard 8×8 board. What is P(all five land on white squares)?