Prob 3.1.11 didn't paste very well. If you don't have the text to refer to here it is:

3.1.11f(x)=2x+125,x=0,1,2,3,4f x = 2 x + 1 25 , x = 0 , 1 , 2 , 3 , 4

3.1.9 The sample space of a random experiment is {a, b, c, d, e, f}, and each outcome is equally likely. A random variable is defined as follows: outcome a b C d e f X 1.5 1.5 2 3 Determine the probability mass function of X. Use the probability mass function to determine the following probabilities: 1. P(X = 1.5) 2. P(0.5 3) 4. P(OSX -10) 3.2.3 Determine the cumulative distribution function for the random variable in Exercise 3.1.11. 3-3-3 Determine the mean and variance of the random variable in Exercise 3.1.11. 3.4.1 Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 700 nm. 1. What are the mean and variance of the wavelength distribution for this radiation?3.5.3 The random variable X has a binomial distribution with n = 10 and p = 0.01. Determine the following probabilities. 1. P(X= 5) 2. P(X52) 3- P(X29) 4- P(3sX