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Question: 1. Someone flips seven fair coins. Describe the state space for this situation. Define a random variable corresponding to the number of heads that show when the coins land. What is the probability that this random variable has value 3?
2. You and a friend are asked to each choose a number 1 to 8. Describe the state space for this situation. What is the probability that you each choose the same number? What is the probability that your numbers are one apart?
Determine the number of fence posts, placed 1 meter apart, needed to make a 100 meter fence.
A through N in this table. Use the lowest level of serum cholesterol as the reference category for calculation of relative risk and risk differences. Table: Cumulative Incidence of CHD by serum cholesterol at baseline, Ages 40-59, Framingham Study.
Set up the integral for the volume V of the solid obtained by rotating the region bounded by the given curve about the specified axis.
A poster of area 24,000 cm2 has blank margins of width 10 cm on the top and bottom and 6 cm on the sides. Find the dimensions that maximize the printed area.
Among the company's policy holders of a certain age,5050are standard with the probability of 0.01 dying in the next year,3030are preferred with a probability of 0.008 of dying in the next year and2020are ultra-preferred with a probability of 0.007..
Check for symmetry with respect to the x and y-axis and the origin.
A window is constructed from a rectangular sheet of glass of height h with a semicircular piece of glass at each end of radius r.
Use geometric techniques to estimate the percentage full. Find an upper and lower bound to the percentage full.
A spherical balloon is inflating at a rate of 27 pi cubic inches per second. How fast is the radius of the balloon increasing when the volume is 112 cubic inches.
The average price of a ticket to a baseball game can be approximated by p(x) = 0.03 x2 + 0.47 x + 8.33, where x is the number of years after 1991.
if a furniture store buys a coffee table from a manufacturer for $120.00 and sells it at a 100% markup, what is the selling price of the coffee table?
The base of a solid is a circle of radius ‘ a ‘, and its verticle cross section are equilateral triangles. Find the radius of the circle if the volume of the solid is 20 cubic meters.
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