A population has a mean of 50 and a standard deviation of 10. If a random...

A population has a mean of 50 and a standard deviation of 10. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following?

a. Greater than 54

b. Less than 53

c. Less than 46

d. Between 48.5 and 52.5

e. Between 50.4 and 51.7

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

a. Upper P left-parenthesis x Overscript bar EndScripts greater-than 54 right-parenthesis =

b. Upper P left-parenthesis x Overscript bar EndScripts less-than 53 right-parenthesis =

c. Upper P left-parenthesis x Overscript bar EndScripts less-than 46 right-parenthesis =

d. Upper P left-parenthesis 48.5 less-than-or-equal-to x Overscript bar EndScripts less-than-or-equal-to 52.5 right-parenthesis =

e. Upper P left-parenthesis 50.4 less-than-or-equal-to x Overscript bar EndScripts less-than-or-equal-to 51.7 right-parenthesis =

Expert Solution

orchestra answered 1 year ago

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