According to insurance records, a car with a certain protection system will be recovered 95% of the time. if 800 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?

Mean = 760

Standard deviation = 6.16

Step-by-step explanation:

Given : The number of trials:

The probability that  a certain protection system will be recovered :

We know that the mean and standard deviation of binomial distribution is given by :_

, where n is the number of trials and p is the probability of success.

Now, the mean and standard deviation of the number of cars recovered after being stolen is given by :-

Hence, the mean is 760 and standard deviation is 6.16 .

do you have the measurements?

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4