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Assume that thermometer readings are normally distibuted with a mean of o c and

ID: 3367852 • Letter: A

Question

Assume that thermometer readings are normally distibuted with a mean of o c and a standard deviation of 100 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 0.75 and 1.75 Click to view page 1 of the table. Click to view page 2 of the table Draw a sketch. Choose the correct graph below. O A. z-0.75 z-1.75 z-0.75 z-1.75 z-0.75 z-1.75 The probability of getting a reading between 0.75°C and 1.75°C is Round to four decimal places as needed.)

Explanation / Answer

Solution :

Using standard normal table,

P(0.75 < z < 1.75) =  P(z < 1.75) - P(z < 0.75)

P(0.75 < z < 1.75) = 0.9599 - 0.7734

P(0.75 < z < 1.75) = 0.1865

Probability = 0.1865