14. The table below shows the number of live births by a mother 50 - 54 years old who had a live birth in 2017. Number of children 1 2 3 4 5 6 7 8 9 or more Probability 0.378 0.320 0.172 0.074 0.029 0.012 0.006 0.004 0.005 a. Verify that this is a discrete probability distribution. b. Create a frequency histogram and describe the shape of the distribution. c. If a 50 - 54 year old mother who had a live birth in 2017 is randomly selected, how many live births would you expect to have had and what is the standard deviation? (Compute the mean and the standard deviation of the discrete distribution.) d. What is the probability that a randomly selected 50 - 54 year old mother who had a live birth in 2017 has had her fourth or fifth birth