Chapter 6: Q.6.7 (page 372)
If the area to the left of is , then what is the area to the right?
Short Answer
The area to the right of is
Chapter 6: Q.6.7 (page 372)
If the area to the left of is , then what is the area to the right?
The area to the right of is
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Get started for freeSuppose X ~ N(9, 5). What value of x has a z-score of –0.5?
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10 . Suppose that one individual is randomly chosen. Letpercent of fat calories.
a. ----------
b. Find the probability that the percent of fat calories a person consumes is more than 40 . Graph the situation. Shade in the area to be determined.
c. Find the maximum number for the lower quarter of percent of fat calories. Sketch the graph and write the probability statement.
In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.
a. In words, define the random variable
b.
c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.
d. What percent of children spend over ten hours per day unsupervised?
e. Seventy percent of the children spend at least how long per day unsupervised?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.
a. If distance in feet is for a fly ball, then
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
A The distance of fly balls hit to the outfield in baseball is denoted as:
B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by
Use the following information to answer the next four exercises:
Find the probability that
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