For a healthy human, a body temperature follows a normal distribution with Mean

Question

For a healthy human, a body temperature follows a normal distribution with Mean of 98.2 degrees Fahrenheit and Standard Deviation of 0.26 degrees Fahrenheit. For an individual suffering with common cold, the average body temperature is 100.6 degrees Fahrenheit with Standard deviation of 0.54 degrees Fahrenheit. Simulate 10000 healthy and 10000 unhealthy individuals and answer questions 14 to 16.

14. What is the approximate probability that a randomly picked, healthy individual will have a body temperature below 98.4 degrees Fahrenheit? Pick the closest answer.

a. About 10%

b. About 33%

c. About 55%

d. ??About 77%

15. What would be a range [A to B], which would contain 68% of individuals having the common cold? Pick the closest answer.

a. Between 98.2 and 100.6

b. Between 99.5 and 101.6

c. Between 100.06 and 101.14

d. ??Between 100.1 and 102.2.

16. What is the approximate probability that a randomly picked, unhealthy individual (one with the cold) would have body temperature below 99.0 degrees Fahrenheit? Pick the closest answer.

a. About 1%

b. About 5%

c. About 10%

c. About 15%

Explanation / Answer

Solution14:

using Rcode

pnorm(98.4,mean=98.2,sd=0.26)

=0.7791218*100

=77.915%

option D

Solution15:

For common cold mean=100.6

sd=0.54

68% of the distribution lies in between

mean-sd and mean+sd

100.6-0.54 and ?100.6+0.54

100.06 and 101.14

OPTION C

Solutionc:

one with cold mean=100.6

sd=0.54

P(X<99)

P(Z<99-100.6/0.54)

P(Z<-1.6/0.54)

P(Z<-2.9296)

pnorm(-2.9296,mean=0,sd=1)

0.001696993

=0.001696993*100

=0.1696993

ANSWER:ABOUT 1%

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.