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An urn containsthreered balls,fivewhite balls, andtwoblack balls.Threeballs are drawn from the urn at random without replacement. For each red ball drawn, you win $8, and for each black ball drawn, you lose $12. Let X represent your net winnings.
ComputeE(X), your expected net winnings.
E(Xd)/E(X) is known as the loss elimination ratio (LER), since it gives the proportion of the risk. Find the LER in terms of d and the parameters.
How many states considered legislation to allow self-driving cars and how many fatalities were there per 100 million miles traveled?
A boat is pulled into a dock by means of a winch 16 feet above the deck of the boat. The winch pulls in rope at a rate of 9 feet per second. Find the acceleration of the boat when there is a total of 20 feet of rope out.
In a large U.S. city a study was conducted to determine the typical commute time from home to the work place. The data was normally distributed with a mean commute time of 19 minutes and a standard deviation of 4.5 minutes. What is the probability..
How would you apply the concept of marginal probability to the significance of selling 5,000 units if the marginal probability of doing so is 85%?
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression. How do the laws work with rational exponents? Provide the class with a third expression to simplify that includes rational (fract..
For the curve r(t), find an equation for the indicated plane at the given value of t. r(t) = (t2 - 10)i + (2t - 3)j + 9k; osculating plane at t = 0
A square's side is increased by 6 yards, which corresponds to an increase in the area by 168 square yards. How many yards is the side of the initial square?
A 30 in piece of string is cut into two pieces. One piece is used to form a circle and the other to form a square. How should the string be cut so that the sum of the areas is a minimum?
Finding the Probability from the given data - find the probability of getting no cracked candy canes.
The triangle (15,34, 35; 252) is the smallest acute Heron triangle indecomposable into two Pythagorean triangles. Realize it as a lattice triangle, with one vertex at the origin.
Describe some practical applications for fractions in your daily life and some challenges that you have experienced regarding the use of fractions.
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