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X is a random variable representing the height in inches of a population. Assume that X is normally distributed with mean = 70 and sigma = 5. If I pick a person at random from the population, what is the probability that their height will be between 68 and 75 inches?
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
if sally can paint a house in 4 hours and john can paint the same house in 6 hours how long will it take both of them
Sara invested $9,000, part at 7% and part at 13%. If the total interest at the end of the year is $1,050, how much did she invest at 7% ?
Using integration to derive geometric formulas. Derive the formula for the circumference of a circle of radius r by computing the arc length of the curve √(r2 - x2) from x = -r to x = r
Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
In this city, how many people receive a negative test result? How many people who test negative actually have the condition? What % of people who get a negative test result have the condition?
dimensions of a rectangle of such that its length is 5in more then its width. If the length were doubled and the width were decreased by 2, the area would be increased by 220 in.^2. What are the width and the length of the rectangle?
use a worksheet to simulate the rolling of dice. use vlookup function to select the outcome for each die. place the
In a sample size of 400, the probability that the sample mean of X is less than 0.27.
The mid points of its sides are joined to form anothertriangle whose mid points, in turn, are joined to form another triangle. Find the sum of the (i) perimeters of all the triangles (ii) areas of all the triangles.
Assuming that the position function is continuous and differential during this 5 minutes interval, prove that the car broke the 55mph speed limit somewhere between points A and B.
A local farmer has hired you to paint a cylindrical silo that is 50 feet high and has a radius of 10 feet. Every gallon of paint will cover 350 square feet. How many gallons of paint will you need to buy?
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