11:07 AM Math 102 Quiz 9 Sections 12: 1-4 https:./www.webessign.net An experimen
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11:07 AM Math 102 Quiz 9 Sections 12: 1-4 https:./www.webessign.net An experiment consists of tossing 100 dimes repeatedly and noting the number of heads each time The graph of the number of heads turns out to be very nearly a normal curve, with a mean of 50 and standard deviation of 5. (Enter your answers as whole numbers.) (a) within what limits would you expect the number of heads to be 68% of the time? lowor lmit 0 upper kreit o heads (b) What percent of the time would you expect the number of heads to be between 40 and 60? (c) Suppose that a particular dime arouses your suspicion by turning up heads too often. You toss this dime 100 times. How many times will it have to turn up heads in order for you to be almost 100% certain that it is not a fair con? (Hint: Most of the data in a normal distribution f within 3 standard deviations of the mean.) more than w timesExplanation / Answer
a) 68% of the data lies within 1 SD from the mean. Hence,
Lower limit = 50 - 5 = 45
Upper limit = 50 + 5 = 55
b) Range from 40 to 60 covers the area of two standard deviations from the mean. Hence,
Required percentage = 95 %
c) To decide that this is not a fair coin, number of heads should be more than 50 + 3*5 i.e. 65
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