Each day John performs the following experiment. He flips a fair coinrepeatedly until he sees a T and counts the number of coin flips needed.(a) Approximate the probability that in a year there are at least 3 days when heneeded more than 10 coin flips. Argue why this approximation is appropriate.(b) Approximate the probability that in a year there are more than 50 days whenhe needed exactly 3 coin flips. Argue why this approximation is appropriate.

a. 0.002942

b. 0.244335

Step-by-step explanation:

Suppose the coin is a fair coin

a. Probability that in a year, there are at least 3 days when he needed more than 10 coin flips

First we need to find

For one year, we assume 365 days, therefore

Here, we want to find

b. Probability that in a years time, there are more than 50 days when he needed exactly 3 coin flips

Therefore

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}