Question

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◦C. A single thermometer is randomly selected and tested. Find P48 , the 48-percentile. This is the temperature reading separating the bottom 48% from the top 52%.

Answer 1

Answer:

Step-by-step explanation:

Given 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◦C.

When a single thermometer is randomly selected we have the temperature is

N(0,1)

To find 48th percentile

If 48th percentile is c

then f(x<c) = 0.48 where x is the temperature of thermometer

c = 0.05

Hence we have P48 is 0.05