Find the expected value.Suppose that 1,000 tickets are sold for a raffle that has the following prizes: one $300 prize, two $100 prizes, and one hundred $1 prizes. What is expected value of a ticket?
A. $300
B. $0.60
C. $1
D. $100
Answer: B
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Provide an appropriate response.Let f(x) = (x - 8)2/3 (a) Does f'(8) exist? (b) Show that the only local extreme value of f occurs at x = 8. (c) Does the result of (b) contradict the Extreme Value Theorem? (d) Repeat parts (a) and (b) for f(x) = (x - c)2/3.Give reasons for your answers.
What will be an ideal response?
Determine whether the given functions are inverses of each other.f(x) = , g(x) = 2x - 3
A. Yes B. No
Suppose that you toss a coin and roll a die. The sample space is shown in the figure. What is the probability of obtaining heads or a two?
?
What will be an ideal response?
Find the missing length(s) in the right triangle. Give an exact answer and, where appropriate, an approximation to three decimal places.
A. a = 4.500
B. a = 9 ? 12.728
C. a = 1.732
D. a = ? 6.364