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Ron Hampton who is self-employed, wants to invest $60,000 in a pension plan. One investment offers 7% compounded quarterly. Another offers 6.75% compounded continuously. Which investment will earn more interest in 5 years? How much will the better plan earn?
1. Let yˆ = E (y|x) be the conditional expectation of y given x. Prove that E{(y - yˆ)² } ≤ E{(y - π)² }, where π = π(x) is any other function of x. Show that E {x(y - yˆ)} = 0 and give an interpretation of this condition.
Let h be "one is honest," p be "one is a pawnbroker," b be "one is a promise breaker," t be "one is trustworthy," c be "one is very communicative," and w be "one is a wine drinker". a. Promise breakers are untrustworthy.
A standard drinking straw is 23 cm tall. What pressure difference is needed to raise a column of water that high? (When we drink, this pressure difference is supplied by one's mouth.) Assume the density of water is 1.0 g/cm3. You will need to use F =..
One of the central problems we face in using probability models is obtaining the actual distributions. The true distributions are invariably not known, and we must estimate them for our purposes. How do you go about estimating probabilities when u..
* Translate, formalize and evaluate simple arguments in categorical and propositional form (partially).
Question 1: Assume we have an i.i.d. sample from Bernoulli random variable, specifically X1, X2... ,Xn ~ B (p), which means
What is the spring"s maximum speed? What is its location when it reaches its maximum speed?
Explain the difference in the standard error for the two samples.
One manufacturer lists a chair for $250 less 20%. Another manufacturer lists the same chair at $240 less 10%. Which manufacturer offers the better deal?
What is the median weight of the group?
Find an equation for the tower. (Assume the center is at the origin with axis the z-axis and the minimum diameter is at the center.)
The fair price to play the game. A person spins the pointer and is awarded the amount indicated by the pointer. The wheel has three amounts to win
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