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The scores on a statistics final examination follow a normal distribution and have a mean of 72 and a standard deviation of 3.5. Answer the following:
a. What is the probability that a randomly selected exam will have a score that is greater than 74?
b. What is the probability that a randomly selected exam will have a score that is less than 71?
c. What is the probability that a randomly selected exam will have a score between 70.5 and 73?
d. What is the probability that a randomly selected exam will have a score of exactly 69?
e. What score would represent the 80th percentile?
f. What does the 80th percentile represent?
A mother wants to invest $9,000 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4& and the remainder in a savings bond that earns 7%. If the total interest earned after o..
Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Find the distance (in mi) for each part of the race
Find the initial premium for A 3-year endowment insurance on (60) provides for death benefits payable at the end of the year of death.
The actual weight of soap powder in a box has a normal distribution with a mean of 33 oz. and a standard deviation of 0.8 oz. What proportion of packets are underweight (i.e., weigh less than 32 oz.)?
Show that there is exactly one maximal element in a poset with a greatest element.
The business believes that it will have 5,000 direct labor hours over the time period and aims to have a profit margin of 25% - Calculate for each bag the factory overhead
An interpretation in games and gambling makes it clear that it makes sense to expect a random variable to have a value that is not one of the possible outcomes.
The larger of two complementary angles is nine times the measure of the smaller angle. Complete parts(a) through(c).
The length of a rectangle is 5 cm longer than twice the length of the width. If the area of the rectangle is 403 square centimeters, what is the width?
How fast is the height of the water increasing when the water has filled 2 feet of the deep end?
the school cheerleaders are getting ready to perform at the first football game.they practiced for 3 weeks of school.
A grain silo has a cylindrical shape. Its diameter is 14ft , and its height is 29 . What is the volume of grain that can be stored in the silo?
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