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1) Give the criteria necessary for a probability distribution to be binomial (4 pts). a) b ) C) d) 2) Suppose you are given an

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1) Give the criteria necessary for a probability distribution to be "binomial" (4 pts). a) b ) C) d) 2) Suppose you are given an unfair coin (one whose weight distribution has been tampered with). Without applying any physics, how does one go about determining the probability of flipping this coin and attaining heads? Please use "CRFG" as an acronym for "Cumulative Relative Frequency Graph" in your explanation (3 pts). 3) Suppose for $35 per trial, you get to spin spinners A and B simultaneously and the quotient ( A+ B) of the results equals the amount of money returned to you. Complete the probability distribution, calculate the expected value, and circle whether or not this is a fair game (6 points)? X $2 $5 $8 $20 $48 $120 P(X ) 1 16 16 16 8 . E = B Fair? Yes No 360 18 72 144 3

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