Question

Assume that thermometer readings are normally distributed with a mean of O'C and a standard deviation of 1.00'C. A thermometer in 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. ОА. OB GO The probability of getting a reading between 0.75°C and 1.75°C is (Round to four decimal places as needed.)

Answer 1

Solution

Using standard normal table

a) P (0.75 < Z < 1.75)

P ( Z < 1.75 ) - P ( Z < 0.75 )

= 0.9599 - 0.7734

= 0.1866

Probability = 0.1866

Option c ) is correct

b ) P ( Z < z ) = 89%

P ( Z < z ) = 0.89

z = 1.23

Option b ) graph is Percentile P₈₉