Chapter 5: Q. 88 (page 355)
The percent of persons (ages five and older) in each state who speak a language at home other than English is approximately exponentially distributed with a mean of . Suppose we randomly pick a state.
a. Define the random variable.
b. Is continuous or discrete?
c.
d.
e.
f. Draw a graph of the probability distribution. Label the axes.
g. Find the probability that the percent is less than .
h. Find the probability that the percent is between eight and .
i. The percent of all individuals living in the United States who speak a language at home other than English is .
i. Why is this number different from ?
ii. What would make this number higher than ?
Short Answer
a. The percent of persons (ages five and older) in each state who speak a language at home other than English
b. the random variable is exponentially distribution, hence the will be continuous.
c.
d.
e. localid="1651433623625"
f. The graph is drawn
g.
h.
i.i. This should be because of the higher value of standard deviation which is present in the collected data.
ii. The given percentage is higher than because there are huge chances that each state will have English speakers higher and lower than the mean percentage.