Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100Ω and standard deviation 6Ω, and R2 is normally distributed with mean 120Ω and standard deviation 10Ω. What is the probability that R2 > R1?

And we can find this probability using the complement rule and with the normal standard distribution or excel like this:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case we have two resistors with the following distributions:

And for this case we want the following probability:

First we need to find the distributon for

Since both are normally distributed we have that a linear combination of normal distributions is also normal, so then we have this:

And we can use the z score formula given by:

And using this formula we got:

And we can find this probability using the complement rule and with the normal standard distribution or excel like this:

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.