Assume that thermometer readings are normally distributed with a mean of 0 degrees °C and a standard deviation of 1.00 degrees °C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.25 and 1.75
SOLUTION:
From given data,
Assume that thermometer readings are normally distributed with a mean of 0 degrees °C and a standard deviation of 1.00 degrees °C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 0.25 and 1.75
standard deviation = 1.00
mean = 0
probability of the reading Between 0.25 and 1.75 = P(0.25 < Z <1.75 )
= P(Z < 1.75) - P(Z < 0.25)
= 0.95994 - 0.59871
= 0.36123
The sketch will be ,
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