Aclinic took temperature readings of 250 flu patients over a weekend and discovered the temperature distribution to be gaussian, with a mean of 102.00°f and a standard deviation of 0.5660. use this normal error curve area table to find the following values:
(a) what is the fraction of patients expected to have a fever greater than 103.58°f?
(b) what is the fraction of patients expected to have a temperature between 101.43°f and 102.74°f?

a) 0.00262 is the fraction of patients expected to have a fever greater than 103.58 F.

b) 0.748 is the fraction of people expected to have temperature between 101.43 F and 102.74 F.

Step-by-step explanation:

We are given the following information:

n = 250

Population mean, μ = 102.00 F

Standard Deviation, σ = 0.5660

Formula:

a) P(x > 103.58)

Converting into standard normal variate

The probability value is calculated from normal standard table.

Thus, 0.00262 is the fraction of patients expected to have a fever greater than 103.58 F.

b)P(101.43 < x < 102.74)

Converting into standard normal variate

The probability value is calculated from normal standard table.

Hence, 0.748 is the fraction of people expected to have temperature between 101.43 F and 102.74 F.