Assume the readings on thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. Find the probability that a randomly selected thermometer reads between and and draw a sketch of the region.

Complete Question

Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.0°C. Find the probability that a randomly selected thermometer reads between 0.50°C and 1.50°C and draw a sketch of the region.

0.24173

Step-by-step explanation:

We would solve this question using Z score formula.

z = (x-μ)/σ

where:

x is the raw score

μ is the population mean = 0°C

σ is the population standard deviation =  1°C

For x = 0.5°C

z = (0.5 - 0)/1

z =0.5

Probability value from Z-Table:

P(x = 0.5) = 0.69146

For x = 1.5°C

z = (1.5 - 0)/1

z = 1.5

Probability value from Z-Table:

P(x = 1.5) = 0.93319

The probability of that a randomly selected thermometer reads between 0.50°C and 1.50°C is calculated as:

P(0.5 < Z < 1.5) = P(x = 1.5) - P(x = 0.5)

= 0.93319 - 0.69146

= 0.24173

Find attached to this answer the sketch of the region.

no, because the sides are not congruent

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: