Chapter 11: Problem 100
In Exercises \(\mathrm{P} .100\) to \(\mathrm{P} .107,\) calculate the requested quantity. $$ 4 ! $$
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Heights of Men in the US Heights of adult males in the US are approximately normally distributed with mean 70 inches \((5\) ft 10 in \()\) and standard deviation 3 inches. (a) What proportion of US men are between \(5 \mathrm{ft}\) 8 in and \(6 \mathrm{ft}\) tall \((68\) and 72 inches, respectively)? (b) If a man is at the 10 th percentile in height, how tall is he?
In Exercises \(\mathrm{P} .108\) to \(\mathrm{P} .111,\) calculate the requested binomial probability. Find \(P(X=2)\) if \(X\) is a binomial random variable with \(n=6\) and \(p=0.3\).
The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosome). Approximately \(7 \%\) of American men and \(0.4 \%\) of American women are red-green color-blind. \(^{5}\) (a) If an American male is selected at random, what is the probability that he is red-green color-blind? (b) If an American female is selected at random, what is the probability that she is NOT redgreen color-blind? (c) If one man and one woman are selected at random, what is the probability that neither are redgreen color-blind? (d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind?
Approximately \(7 \%\) of men and \(0.4 \%\) of women are red-green color-blind (as in Exercise P.38). Assume that a statistics class has 15 men and 25 women. (a) What is the probability that nobody in the class is red-green color-blind? (b) What is the probability that at least one person in the class is red-green color-blind? (c) If a student from the class is selected at random, what is the probability that he or she will be redgreen color-blind?
Stephen Curry's Free Throws As we see in Exercise \(\mathrm{P} .37\) on page 701 , during the \(2015-16 \mathrm{NBA}\) season, Stephen Curry of the Golden State Warriors had a free throw shooting percentage of 0.908 . Assume that the probability Stephen Curry makes any given free throw is fixed at 0.908 , and that free throws are independent. (a) If Stephen Curry shoots 8 free throws in a game, what is the probability that he makes at least 7 of them? (b) If Stephen Curry shoots 80 free throws in the playoffs, what is the probability that he makes at least 70 of them? (c) If Stephen Curry shoots 8 free throws in a game, what are the mean and standard deviation for the number of free throws he makes during the game? (d) If Stephen Curry shoots 80 free throws in the playoffs, what are the mean and standard deviation for the number of free throws he makes during the playoffs?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
