Question

Assume that thermometer readings are normally distributed with a mean of 0°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 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. ОА. OB. OC. 0 0 5 z=1.50 z=2.25 z=1.50 z=2.25 z=1.50 Z=2.25 . The probability of getting a reading between 1.50°C and 2.25°C is (Round to four decimal places as needed.)

Answer 1

solution:

= P( 1.50< Z <2.25 )

= P(Z <2.25 ) - P(Z <1.50 )

Using z table,  

= 0.9878-0.9332

=0.0546

-3 -2 - ó i

b.

= P( -2.12< Z <3.73 )

= P(Z <3.73) - P(Z <-2.12 )

Using z table,  

= 0.9999-0.0170

=0.9829

3 2 1 0 1 2