THE NORMAL APPROXIMATION FOR PROBABILITY One ofthe graphs below is a histogrannf
ID: 2933743 • Letter: T
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THE NORMAL APPROXIMATION FOR PROBABILITY One ofthe graphs below is a histogrannfortte box one is the s. Twenty-five draws are made at random with replacement from wn. One is the probability histogram for the sum And probability histogram for the product. Which is which? Why? 6. A programmer is working on a new program, COIN, to to simulate tossing a . _.do one million tosses. coin. As a preliminary test, he sets up the program to do The program returns with a count of 502.015 heads. The at this and thinks: Two thousand and fifteen off. That's a lot. No, wait. Compare it to Hmmm. the million. Two thousand-forget the fifteen-out of a million is two out of a thousand. That's one in five Good. COIN passes. hundred. One fifth of a percent. Very small Do you agree? Answer yes or no, and explain. 6) one draw from the box (ii) the sum of two draws from the box 7. A pair of dice are thrown. The total number of spots is like Explain. 8. A coin is tossed 100 times. True or false, and explain: (a) The expected value for the number of heads is 50. (b) The expected value for the number of heads is 50, give or take 5 or so. (c) The number of heads will be 50 (d) The number of heads will be around 50, give or take 5 or so. 9. One hundred draws are made at random with replacement from a box with tickets marked "0 and one ticket marked "I." True or false, and explain: (a) The sum will be around 1, give or (b) There is about a 68% chance that the sum will be in the range 0 to 2. take 1 or so.Explanation / Answer
number 7 has more combinations
1-6, 2-5, 3-4, 4-3, 5-2, 6-1 than 12, which is only 6-6
so option b is correctt choice
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