Question

In: Statistics and Probability

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00....

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00. If a sample of 19 were randomly drawn from the population, find the probability of      for each of the following situations.

a) less than 79:
probability =  

b) greater than 85:
probability =  

c) in between 68 and 84:
probability =  

d) in between 77 and 91:
probability =  

Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as 91.94.

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(0.1981, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(1.3869, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(1.1888, TRUE)" & "=NORM.S.DIST(-1.9813, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability OR use excel formula "=NORM.S.DIST(2.5757, TRUE)" & "=NORM.S.DIST(-0.1981, TRUE)" to find the probability.

orchestra answered 1 year ago
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