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Answer :
Complete 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 most likely? Pick the closest answer.
a. Person B will have higher temperature than 101 degrees.
b. Person A will have temperature higher than 99 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 68% of healthy individuals? Pick the closest answer.
a. Between 97.9 and 98.46
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 above 101 degrees Fahrenheit? Pick the closest answer.
a. About 10%
b. About 15%
c. About 22%
c. About 34%
Answer:
14. option a
15. option a
16. option a
explanation:
14 option (a)
person B have higher temperature than 101 degrees,
(b) cannot be true if person a has higher temperature than 99 then he has cold most likely and as mentioned by the standard dev and mean of healthy people
(c) AND (d) also cannot be true as they also do not satisfy the given standard dev and mean
15 option (a) because of the A to B range and not B to A range ....... as the healthy person's standard dev is 0.26. Hence the 68% data will lie in 97.94 - 98.46
but, if it was B to A, then the (c) option will be true
16 option (a) because most of the unhealthy individuals above the 0.54 standard dev will come somewhat near 90%
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