Question

Assume that thermometer readings are normally distributed with a mean of o°C and a standard deviation of 1.00°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 1.25 Click to view page 1 of the table, Click to view page 2 of the table Draw a sketch. Choose the correct graph below A. Ов. Ос. z 0.25 1.25 z-025 z-125 2 0.25 .25 The probability of getting a reading between 0.25 C and 1.25 C is Round to four decimal places as needed.)

Answer 1

correct graph is option B)

The probability that 0.25<1.25 is equal to the blue area under the curve. 0.5 0.3 y 0.2 0.1 0.0 0.25 1.25 0.1 3.5 3.0 2.5 2.01.5 1.0 0.5 0.0 0.5 1.0 5 2.0 2.5 3. Step 2: To find the probability of P (0.25 < Z<1.25), we use the following formula P (0.25 < Z < 1.25 ) = P ( Z < 1.25 )-P (Z < 0.25 ) step 3: P (Z<1.25) can be found by using the following standard normal table Show Standard Normal Table We see that P ( Z < 1.25 ) 0.8944 Step 4: P ( Z < 0.25 ) can be found by using the following standard normal table. Show Standard Normal Table We see that P ( Z < 0.25 ) = 0.5987 At the end we have: P (0.25 < Z < 1.25 ) = 0.2957

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