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Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students for a total of 1000 students
a) What is the average class size?
b) Select a student randomly out of the 1000 students. Let the random variable X equal the size of the class to which this student belongs and define the p.m.f. of X
c) Find the mean of X.
A lottery has one 2000.00 prize, two 1000.00 prizes and ten 500.00 prizes. Two thousand tickets are sold at 5.00 each. Find the expectation is a person buys two tickets?
The Mico soft drink company makes two kinds of beverages: regular and diet. Their limited resources are the time it takes to make the drinks (8 hours = 480 minutes per day) and syrup (as an ingredient) limited to 675 gallons per day.
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
Linear Spaces, Mappings and Dimensional Spaces, 1) Show that if dim X = 1 and T belongs to L(X,X), there exists k in K st Tx=kx for all x in X.
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
Let X be any vector space over the field F, let L be a linearly independent subset of X, and A be the set of linearly independent subsets of X containing L.
the theoritical probability of undesirable side effects resultiing from taking grebex is 2 in 13. if 260 people take grebex , how many will encounter undesireable side effects.
Prove that the regression line passes through the centroid
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
a chemist needs 160 milliliters of a 33% solution but has only 21% and 53% solutions available. find how many milliliters of each that should be mixed to get the desired solution.
Andy begins walking north from an intersection at (v+3) ft/s. After 10 seconds, he is 100 ft north of the intersection. What is the value of v?
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