assume that the reading in thermometers are randomly distributed with a mean of

Question

assume that the reading in thermometers are randomly distributed with a mean of 0 and standard deviation 1.00 C . A thermometers is randomly selected and tested . in each case draw a sketch and find the temperature reading corresponding to the given information
a- find p20 the 20th percentile

b- if a 3.0% of the thermometers are rejected because they have reading that too high and another 3.0% are rejected because they are reading that too law , find the two reading that are cutoff values separating the rejected thermometers from the others

Explanation / Answer

Given X~Normal(mean=0, s=1) ------------------------------------------------------------------------------ (a) P(X P((X-mean)/s P(Z c= -0.84 (check standard normal table) ------------------------------------------------------------------------------ (b) P(-a

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