Please look at the question below and answer.

Application 14. A bag contains four red, five white, and two balls. Four balls are selected at random. a) Show the probability distributions for the number of red balls with and without replacement. [6 marks] Random P(x) P(x) Variable (With Replacement) (Without Replacement) b) Construct the probability histograms for these probability distributions. [4 marks] c) Would you anticipate selecting more red balls from a bag with or without replacement? Fully justify your response mathematically. [4 marks] d) Would the probability of selecting at least two red balls be greater from a bag with or without replacement? Fully justify your response mathematically. [3 marks]