Question

One professional basketball player typically attempts eight free throws per game. Let x represent the number of free throws made out of eight. The histogram displays the distribution. A histogram titled 'Free Throws' has x = number of successful free throws on the x-axis, and probability on the y-axis. The distribution is:

1) Slightly skewed left
2) Slightly skewed right
3) Unimodal, symmetric
4) Strongly skewed left

Answer 1

The question is a high school-level mathematics question about probability distributions and involves interpreting histograms as well as calculating means and standard deviations for discrete random variables.

The correct answer is B.

Step-by-step explanation:

The subject of the question is about interpreting a probability distribution represented in a histogram and involves calculating expected values and standard deviation for discrete random variables. It fits within the scope of high school mathematics, specifically within the areas of statistics and probability.

For example, consider a professional basketball player who makes 75 percent of free throws and attempts eight free throws per game. To find the probability distribution for the number of successful free throws, you would use the binomial distribution with parameters n = 8 and p = 0.75.

Calculating the mean (μ) of this distribution involves multiplying the number of trials (n) by the probability of success (p). The standard deviation (σ) can be found using the formula σ = √(n*p*(1-p)). Following these steps, one can determine a discrete probability distribution, which visually can be displayed as a histogram.