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. If person A is healthy and person B has a cold, which of the events are the least likely? Pick the closest answer.

• a. Person B will have higher temperature than 101 degrees.
• b. Person A will have temperature higher than 98.8 degrees
• c. Person B will have temperature lower than 100 degrees
• d. Person A will have temperature lower than 97.5 degrees

15. What would be a range [A to B], which would contain 95% of healthy individuals? Pick the closest answer.

• a. Between 97.9 and 98.46
• b. Between 97.68 and 98.72
• 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 100 degrees Fahrenheit? Pick the closest answer.

• a. About 8%
• b. About 13%
• c. About 22%
• c. About 34%

Answer 1

14)

• d. Person A will have temperature lower than 97.5 degrees

15)

• b. Between 97.68 and 98.72

16)

• b. About 13%