The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 7 mL. Suppose that 45 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.If a single randomly selected individual is observed, find the probability that this person consumes is between 60.3 mL and 60.9 mL. =For the group of 45 pancake eaters, find the probability that the average amount of syrup is between 60.3 mL and 60.9 mL. =

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Asked Nov 21, 2019
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The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 7 mL. Suppose that 45 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.

If a single randomly selected individual is observed, find the probability that this person consumes is between 60.3 mL and 60.9 mL. =

For the group of 45 pancake eaters, find the probability that the average amount of syrup is between 60.3 mL and 60.9 mL. =

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Expert Answer

Step 1

Let X is the amount of people put the amount of syrup on their pancakes and it follows normal distribution with mean 61ml and standard deviation 7ml. a random sample of 45 people are observed pouring syrup on their pancakes.

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That is, 61,o = 7 and n= 45

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Step 2

The probability that a person consumes syrup between 60.3ml and 60.9 ml is as follows:

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X- 60.9-61 60.3 61 P(60.3 X60.9)= P 7 7 - P(-0.1Z<-0.01) P(Z<-0.01)- P(Z<-0.1)

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Step 3

Using Excel formula = NORM.S.DIST (–0.0...

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fNORM.S.DIST(-0.01,TRUE) D E F 0.496011 That is, P (Z -0.01) 0.4960

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