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Using Excel - normal probabilities Consider the random variable x that follows a normal distribution, with...

Using Excel - normal probabilities Consider the random variable x that follows a normal distribution, with a mean of μ = 54 and a standard deviation of σ = 4. You will select some of your answers to the questions that follow in this sample Excel spreadsheet: A B 1 P(x < 50.5) 2 P(49 < x < 51) In cell B1 of the sample spreadsheet, select the correct Excel formula for computing the probability that x is less than 50.5. Using your own Excel spreadsheet, calculate the probability using the Excel formula you selected. What is the probability that x is less than 50.5? P(x < 50.5) = 0.4053 P(x < 50.5) = 0.1908 P(x < 50.5) = 0.1421 P(x < 50.5) = 0.0947 In cell B2 of the previous sample spreadsheet, select the correct Excel formula for computing the probability that x is between 49 and 51. Using your own Excel spreadsheet, calculate the probability using the Excel formula you selected. What is the probability that x is between 49 and 51? P(49 < x < 51) = 0.1271 P(49 < x < 51) = 0.1210 P(49 < x < 51) = 0.0605 P(49 < x < 51) = 0.1089

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Answer #1
Ans Excel formula
(a) 0.1908 =NORM.DIST(50.5,54,4,TRUE)
(b) 0.1210 =NORM.DIST(51,54,4,TRUE)-NORM.DIST(49,54,4,TRUE)
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