Normal approximation to estimate
Let X bar 10,000 be the fraction of heads in 10,000 tosses. Use Chebyshev's inequality to bound P(|Xbarn - 1/2| is greater than or equal to 0.01) and the normal approximation to estimate this probability.
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A container with volume 2 m^3 filled with three different gases, 20 kg oxygen at -23 C , 50 kg nitrogen gases at 27 C, and 30 kg of argon at 127 C are mixed. Determine the intial pressure of each gases and final temperature and pressure.
Suppose you know that a company's stock currently sells for $50 per share and the required return on the stock is 10 percent. You also know that the total return on the stock is evenly divided between a capital gains yield and a dividend yield.
In a 162-game season find the approximate probability that a team with a 0.5 chance of winning will win atleast 87 games.
The mayor of your home town is worried that magnetic fields might cause cancer and proposes that the electric power company not have any magnetic fields that extend beyond the right of way of their power lines. Think of a way in which this would a
Consider a normal population with a mean of 10 and a variance of 4. Find P(X >=10).
A $1000 bond with a coupon rate of 5.4% paid semiannually has five years to maturity and a yield to maturity of 7.5%. If interest rates rise and the yield to maturity increases to 7.8%, what will happen to the price of the bond?
When a current of I = 42 A exists in the wire, the wire swings upward and, at equilibrium, makes an angle ? with respect to the vertical. Find (a) the angle ? and (b) the tension in each of the two strings.
A stock has a beta of 1.1, an expected return of 11.1 percent, and lies on the security market line. A risk-free asset is yielding 3.91 percent. Ferghus wants to create a $15,000 portfolio that is comprised of these two securities and that will ha
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