Show all your work! 5-4 Other Types of Distributions 1. Use the multinomial formula and find the probabilities for each. a. n = 6, X = 3, X2 = 2, X3 = 1, p, = 0.5, p2 = 0.3, P3 = 0.2 b. n = 5, X = 1, X2 = 2, X3 = 2, P, = 0.3, P2 = 0.6, P3 = 0.1 c. n = 4, X, = 1, X2 = 1, X3 = 2, P, = 0.8, P2 = 0.1, P3 = 0.1 8. Copy Machine Output A copy machine randomly puts out 10 blank sheets per 500 copies processed. Find the probability that in a run of 300 copies, 5 sheets of paper will be blank. 10. Misprints on Manuscript Pages In a 400-page manuscript, there are 200 randomly distributed misprints. If a page is selected, find the probability that it has 1 misprint. 12. Mail Ordering A mail-order company receives an average of 5 orders per 500 solicitations. If it sends out 100 advertisements, find the probability of receiving at least 2 orders