A game works as follows: You have to pick 4 integers (without replacement) between 1 and 14
(inclusive). The game operator chooses 4 numbers (without replacement) between 1 and 14 (also
inclusive). If exactly two of the numbers youtinave chosen are among the four chosen by the
operator, you win $10 ; if exactly three of the numbers you have chosen are among the four
chosen, you win $100 ; if all four of your numbers match you win $1000 . Otherwise, you have
to pay $75 . A random variable X represents your profit. (a) Complete the probability
distribution of X , your profit resulting from playing this game, listing from smallest to largest.
For each probability, round to at least four decimals in your answer. (b) Sketch the distribution of
probabilities from (a), with the values of X on the x -axis and P ( X = x ) on the y -axis. What can
you say about the tendency of the random variable X ? The distribution of X is (c) Compute the
expected value of X and the standard deviation of X . E ( X ) = (round to two decimals in your
answer) S D ( X ) = (round to two decimals in your answer).
Basic Civil Engineering notes on Transportation Engineering, Modes of Transpo...
A game works as follows- You have to pick 4 integers (without replacem.pdf
1. A game works as follows: You have to pick 4 integers (without replacement) between 1 and 14
(inclusive). The game operator chooses 4 numbers (without replacement) between 1 and 14 (also
inclusive). If exactly two of the numbers youtinave chosen are among the four chosen by the
operator, you win $10 ; if exactly three of the numbers you have chosen are among the four
chosen, you win $100 ; if all four of your numbers match you win $1000 . Otherwise, you have
to pay $75 . A random variable X represents your profit. (a) Complete the probability
distribution of X , your profit resulting from playing this game, listing from smallest to largest.
For each probability, round to at least four decimals in your answer. (b) Sketch the distribution of
probabilities from (a), with the values of X on the x -axis and P ( X = x ) on the y -axis. What can
you say about the tendency of the random variable X ? The distribution of X is (c) Compute the
expected value of X and the standard deviation of X . E ( X ) = (round to two decimals in your
answer) S D ( X ) = (round to two decimals in your answer)
