(a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're offered a bet at 250:1 odds against a fair coin landing tails up eight times in a row. What would you do take one side of the bet or the other, or decide not to play at all? (Your answer should depend both on your answer to the previous part of the problem and on your own personal ideas about risk and money.) (c) Answer the previous question if you are operating a casino. Compute the house advantage and explain how much money you would make in the long run. (d) Which is more likely, that eight flips will be TTTTTTTT or that they will be THTHTHTH?

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A: Dog Cat Total Vaccine 13 17 30 No vaccine 21 9 30 Total 34 26 60

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Q: what is a z-score of 80%?

A: 80% z score:  alpha=1-0.80           =0.2 alpha/2=0.2/2               =0.1  From standard normal…

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A: given datax=No. of flaws per foot of rolls of grade B paperμ=2flaws per 6 feet∴λ=26 per feet λ=13…

Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

A:

Q: 7. Police plan to enforce speed limits by using radar traps at 4 different locations within the city…

A: given dataP(A)=0.2P(B)=0.1P(C)=0.5P(D)=0.2P(speeding ticket)=P(E)∴P(E|A)=0.40    P(E|B)=0.30…

Q: 9. [24/396, o Unknown] Consider the following hypothesis test: Ho: u = 18 and Ha: u 18. A sample of…

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A: There are 4 queens and 4 ace in a standard deck of 52 cards.

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Q: A Statistics class reports the following data on Sex and Eye Color for students in the class: Blue…

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A: given data P(live to 5 year) = p = 0.99593

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Q: 10. Suppose that 5 teachers and 8 students volunteered to be on a graduation committee. The…

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Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E)= 0.4. What is P(FIE)?

A: Solution-: Given: P(E and F)=0.1, P(E)=0.4 We want to find P(F|E)=?

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A: Given  n1=60, n2=50  p^1=16%, p^2=45%

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