Question

Q 1 )

A) In order to be accepted into a top university, applicants must score within the top 5% on the SAT exam. Given that the test has a mean of 1000 and standard deviation of 200. what is the lowest possible score a student needs to qualify for acceptance into the university.

B) Ahmed plays a game where he tosses two balanced 4 sided-dice, each with faces labeled by 1, 2, 3 and 4. He wins 2 points if the sum is 4. He wins 1 point if the sum is greater than 4. He loses k points if the sum is less than 4.

i. Find the probability distribution sum.

ii. Find the value of k which achieves the fairness of game. (i.e. The fairness is achieved if the game is not biased neither to loss or win)

Answer 1