Question

3.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than 1.865°C. P(Z>1.865)=P(Z>1.865)= (Round to four decimal places)

4.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -2.111°C. P(Z>−2.111)=P(Z>-2.111)= (Round to four decimal places)

5.About ____ % of the area under the curve of the standard normal distribution is between z=−0.213z=-0.213 and z=0.213z=0.213 (or within 0.213 standard deviations of the mean). (Notice that the percent sign is already there. You should round to two decimal places.)

6.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.154°C and -1.206°C.
P(−2.154<Z<−1.206)=P(-2.154<Z<-1.206)=  (Round to four decimal places)

7.The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60.5 with a standard deviation of 8.7. Assume that the distribution is approximately normal.

Find the probability that an elite athlete has a maximum oxygen uptake of at most 37 ml/kg.  (Round answer to four decimal places.)

Answer 1