Let X and Y be the number of hours that a randomly selected person watches Game of Thrones and Star Wars, respectively, during a three-month period. The following information is known about X and Y:E(X) = 50, E(Y) = 20, Var(X) = 50, Var(Y) = 30, Cov(X, Y) = 10. One hundred people are randomly selected and observed for these three months. Let T be the total number of hours that these one hundred people watch Game of Thrones or Star Wars during this three-month period. Approximate the value of P(T < 700). Hint: Let Ti be the total number of hours person i watches Game of Thrones or Star Wars during this three-month period.

And the variance can be founded like this:

And if we use this formula we got:

So then we have this:

Step-by-step explanation:

For this case we have the following data given:

We define the random variable T as the total number of hours that the people watch Games of Thrones or star Wars. So then we can define

We can find the expected value of T like this:

And the variance can be founded like this:

We know that the sampel mena is defined as:

And for this case since the sampel large is enough n>30, we have that the distribution for T can be approximated with the normal distribution using the central limit theorem:

We want to calculate the following probability:

We can use the z score formula given by:

And if we use this formula we got:

So then we have this:

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: