Question

Assume that thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees 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 -1.42 and 1.61
The probability of getting a reading between -1.42 degrees C and 1.61 degreesC is_______ ( round to four decimal places as needed)

Answer 1

Answer:

The probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.

Step-by-step explanation:

We are given that

$Mean,\mu=0$ degree C

Standard deviation, $\sigma=1$ degree C

We have to find the probability of the reading between -1.42 and 1.61.

$P(-1.42$

$P(-1.42$

$P(-1.42$

Using the formula

$P(a$

$P(-1.42$

$P(-1.42$

Hence, the probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.