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Suppose you roll a standard die 2000 times and let X be the sum of the values you get. Using the Central Limit Theorem, for what value of a is P[X >= a] approximately equal to P[N(0,1) >= 2] ?
Statistics and Probability, Statistics
According to national data, about 14% of American college students earn a graduate degree. Using this estimate, what is the probability that exactly 24 undergraduates in a random sample of 200 students will earn a colleg ...
An urn contains 5 red and 10 blue balls. Balls are drawn sequentially from urn without replacement. Let X be the number of draws necessary in order to obtain exactly 4 red balls. Find probability mass function of X
Looking for guidance: A distribution of exam scores has μ = 90 and σ = 10. In this distribution, Sharon's score is 9 points above the mean, Jill has a z-score of +1.20, Steve's score is ½ standard deviation above the mea ...
Donald is a college student who has $4125 in a savings that he earned from his summer job. He plans to leave the $4125 in a certificate of deposit(CD) with Goldman Sachs bank earning 2% for three years, but his banker ha ...
The speed of cars on a stretch of road is normally distributed with an average 42 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the spee ...
XYZ company to have earnings of $3.20 per share during the fiscal year ending in one year on September 21, 2019. The firm currently plans to retain 90 percent of earnings at the end of each of the next three fiscal years ...
Assumes the following probability" P(customer make a purchase) = 0.300 P(Customer does not make a purchase) = 1-0.300 Compute the P(1purchase) and enter your answer in 3 decimal places.
A company that manufactures gasoline station pumps must ensure that it pumps at least 1 gallon of gasoline 84% of the time. If the population of pump amounts for a particular pump is normally distributed with mean μ and ...
A firm evaluates all of its projects by applying the IRR rule. Year Cash Flow 0 -$ 153,000 1 78,000 2 67,000 3 49,000 What is the project's IRR? If the required return is 11 percent, should the firm accept the project? Y ...
A lumber grading system is known to be defective 20% of the time. Normally, 20% of the lumber that passes through is rejected, but when it is defective, 50% of the pieces are rejected. In either case, pieces that are acc ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As