Mathematics
11.06.2022 19:11
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Aclinic took temperature readings of 250 flu patients over a weekend and discovered

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?
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lovebunfan
lovebunfan
4,8(53 marks)

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:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(x > 103.58)

Converting into standard normal variate

P(z  \displaystyle\frac{103.58 - 102}{0.5660})\\\\= P(z  2.791)\\= 1 - p(z \leq 2.791)\\= 0.00262

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

P(\displaystyle\frac{101.43 - 102}{0.5660} < z < \displaystyle\frac{102.74 - 102}{0.5660})\\\\= P( -1.007 < z < 1.307)\\= P(z < 1.307) - P(z < -1.007)\\= 0.904 - 0.156\\=0.748

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.

broyochey1
broyochey1
4,4(3 marks)

x^2 − 20x + 100

Step-by-step explanation:

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