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1⁄2Calculate the variance of this sampling distribution.a) 37.6b) 2948.3c) 1410.2d) 65.7e) 470.1f) None of the above10)Suppose you want to play a carnival game that costs 5 dollars each time you play. If you win, you get $100. The probability of winning is 3⁄100. What is the expected value of the amount the carnival stands to gain?a) 1.90b) 3.00c) 2.10d) 2.00e) -2.00f) None of the above11)Suppose you want to play a carnival game that costs 5 dollars each time you play. If you win, you get $100. The probability of winning is 3⁄100. What is the expected value of the amount that you, the player, stand to gain?a) -2.00b) -3.00c) -2.20d) -2.30e) 2.00f) None of the above12)A random sample of 2 measurements is taken from the following population of values:  -1, 0, 2, 3, 6. What is the probability that the range of the sample is 1?a) 0.1b) 0.2c) 0.5d) 0.4e) 0.3f) None of the above13)A furniture store is having a sale on sofas and you’re going to buy one. The advertisers know that buyers get to the store and that 1 out of 11 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $100 and the more expensive sofa is $375?a) 237.50b) 124.89c) 350.00d) 122.92e) 125.00f) None of the above

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