Question

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O°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-2.377°C. P(Z > - 2.377)

Answer 1

Ans: X-u 77.5-60.5 8.) -2.377) = 1- Plzs -2.377) (from 1-0.008727-10.9913 2-table] -- Mean (M) = 60.5, Std deu (o)= 8.1 9 (x2 +3.5) - pl P/22 2.0) - 10/29.10) I-0.98214 10.0179 P ( x € 43.5) ole = 8/25 -2.00) = 10.0179 P/2>c) - 205 - Plzec) - 0.05)-) p/zee) from zotable, Plze 1.63) = 0.949 Therefore, C = 9.63 43.5-60.5 m-X S 8.1 0.05) = 0,949