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There is a retired professor who used to love to go into a probability class of thirty or more students and announce "I will give even money odds that there are two people in this classroom with the same birthday." With thirty students in the room, what is the probability that all have different birthdays? What is the minimum number of students that must be in the room so that the professor has at least probability one half of winning the bet? What is the probability that he wins his bet if there are 50 students in the room. Does this probability make sense to you? (There is no wrong answer to that question!) Explain why or why not.
Given that the mean of a set of data is 25 and the standard deviation is 3, what would be the coefficient of variation?
What is the estimated OR (odds ratio) between favoring cutting living standards and paying higher taxes? What is the 95% confidence interval for the true odds ratio?
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 32° and to the other is 54°. How far apart..
The Chinese remainder theorem
The dimensions of a closed rectangular box are measured as 86 cm, 61 cm, and 19 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Determine the interval(s) at which f(x) is concave down given that f " (x) = 3x2 + 3x - 18. Give a formula for f (x) given that f is continuous and 2 x4 + x3 + 2 = 0∫x[f(t)/(t+4)] dt.
Which variable in the simple interest equation I = prt represents the original amount of money borrowed or invested?
There are some risks involved with international transactions due to fluctuations of the foreign currency exchange rates. One way to mitigate those risks is through hedging. Discuss the hedging options: forward contracts and option contracts. What..
what is the probability that if a randomly selected scooter did not pass inspection, it came from assembly line B?
Let's say you hgave an area with 100 feet of fence. Two configurations were a circle and a rectangle. What other possibilities of utilizing other shapes for this fenced in area.
MATH 54 QUIZ 6. Let H be the set of 3 × 3 matrices such that A = -AT (these are called skew-symmetric matrices). Show that H is a subspace of M3×3. Write the change of coordinate's matrix from B to ε
How many are interested in exactly one kind of show?
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