Suppose that normal human body temperatures are normally distributed with a mean of 37°c and a standard deviation of 0.2°c what percent of humans have a temperature between 36.6°c and 37.4°c? which normal curve is shaded correctly for this problem

Notice that 36.6 = 37 - 2*0.2 and 37.4 = 37 + 2*0.2, so the range of temperatures 36.6 to 37.4 fall within 2 standard deviations of the mean. The empirical rule says the approximate percentage of humans with body temperatures in this range is 95%.

95%.

Step-by-step explanation:

We have been given that the normal human body temperatures are normally distributed with a mean of 37°C and a standard deviation of 0.2°C. We are asked to find the percentage of of humans have a temperature between 36.6°C and 37.4°C.

First of all, we will find z-score corresponding to both values as:

We can see that both z-scores lies within two standard deviation of the mean.

By empirical rule 68% of data points on normal distribution lies within one standard deviation of the mean.

95% of data points on normal distribution lies within two standard deviations of the mean.

99.7% of data points on normal distribution lies within three standard deviations of the mean.

Therefore, 95% of humans have a temperature between 36.6°C and 37.4°C.  

i belive those are the ones that are under 90 degreese.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497