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An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent. On the other hand, the firm reports that the yearly returns on tax-free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent. Find the probability that a randomly selected
a. Common stock will give a positive yearly return.b. Tax-free municipal bond will give a positive yearly return.c. Common stock will give more than a 10 percent return.d. Tax-free municipal bond will give more than a 10 percent return.e. Common stock will give a loss of at least 10 percent.f. Tax-free municipal bond will give a loss of at least 10 percent.
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
What happens to the circumference of a circle if you double the radius? What happens if you double the diameter? What happens if you triple the radius?
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
Find the number of calculators produced from the beginning of the third week to the end of the fourth week. (Round your answer to the nearest integer.)
There are two small cities, Santa Clara and Santa Rosa. Santa Clara has 20 houses and Santa Rosa has 15 houses. An inspector must randomly choose 5 houses in Santa Clara and 7 houses in Santa Rosa to inspect.
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
The number of new contributors to a public radio station's annual fund drive over the last ten years is. Develop a trend equation for this information, and use it to predict next year's number of new contributors.
Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
A study of freeway flow at a particular site has resulted in a flow-density relationship.
John has 20 more chocolate bars than Rick. Cathy has 5 times as many chocolate bars as John. If Rick has r chocolate bars, how many chocolate bars Cathy has, c?
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
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