Question

If a die is rolled for a large number of trials, and the number appearing is noted, which histogram would you expect to match the data?

a) Uniform Distribution

b) Bell-shaped Distribution

c) Skewed Left Distribution

d) Skewed Right Distribution

Answer 1

When rolling a six-sided die a large number of times, a uniform distribution would be expected with each number appearing equally often. The correct answer is option a).

Step-by-step explanation:

If a six-sided die is rolled a large number of times, we would expect a uniform distribution to match the data, with each number from 1 to 6 appearing approximately an equal number of times. This is because a fair die has an equal probability of each face landing up.

When plotted on a histogram, the frequencies for the numbers 1 through 6 should be roughly the same, assuming the die is fair and there are a sufficient number of trials. Hypothesis testing can be used to determine if the die is fair. In hypothesis testing.

For a fair die, the expected frequency of each number appearing would be the total number of rolls divided by the number of faces on the die. If the die is rolled 120 times, the expected frequency for each number would be 20.