Please help me

1. (8 points) A company believes that there will be a 50% chance of making a profit of $1,000, a 30%% chance of making a profit of $1500 and a 20% chance of making a profit of $2.000. (all4 points)What is the expected profit? (b) (4 points) what is the standard deviation of the profit. 2. (16 points) A random variable X has a probability density function f(x) = Axy thpaste For OsXsL Osys1 (2) (4 points) What is the value of A? (b) (4 points ) Find the marginal distribution of () (4 points ) Find the expected value and variance of X. (d) (4 points ) Find the conditional probability of y given X = 1