In the following exercises, assuming that the thermometer readings are normally distributed, with a mean of...

In the following exercises, assuming that the thermometer readings are normally distributed, with a mean of 0 celsius and a standard deviation of 1.00 celsius. A thermometer is randomly selected and tested. In each case, calculate the probability of each reading.

a) P(z>1.645)

Expert Solution

Answer: P(z>1.645) = 0.05

>> From z distribution table,

P(z<1.64) = 0.9495

P(z<1.65) = 0.9505

By averaging those two, we get

P(z<1.645) = (0.9495+9505)/2 = 0.95

Thus, P(z>1.645) = 1 - P(z<1.645) = 1 - 0.95 = 0.05

orchestra answered 1 year ago

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