Question

This is math probability questions.

Please write the solution & answer on the paper and upload a picture of it if possible.

(Don'y use R plz)

1. One fair coin and two unfair coins where heads is 5 times as likely as tails are put into a bag. One coin is drawn at random and then flipped twice. If at least one of the flips was tails, what is the probability an unfair coin was flipped?

2. There are 4 quarters and 3 dimes and 1 nickel in a coin pouch. Two coins are selected at random. Find the probability density function of X, if X assigns the total value of the coins to each outcome. (You might want to draw a tree here.)

3. An unfair coin with heads five times as likely as tails is flipped four times. If X is the number of heads flipped, find the probability density function for X (Do not simplify your answers.!)

4. Balls are numbered 1 through 100 (including 1 and 100) in an urn. 3 are drawn simultaneously and at random. If X is two times the number of even balls drawn minus 3 times the number of odd balls drawn, find the probability density function for X.

Thank you.

Answer 1