Question

Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 2.05 and negative 1.49 and draw a sketch of the region.

Answer 1

Answer:

$P(-2.05$

And we can find this probability with this difference

$P(-2.05$

And we can see the figure in the plot attached.

Step-by-step explanation:

Let X the random variable that represent the redings on thermometers of a population, and for this case we know the distribution for X is given by:

$X \sim N(0,1)$  

Where $\mu=0$ and $\sigma=1$

We are interested on this probability

$P(-2.05$

We can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

Using this formula we got:

$P(-2.05$

And we can find this probability with this difference

$P(-2.05$

And we can see the figure in the plot attached.