5. Draw a complete chart {1, PH}, 3:. x*P{x)} for a binomial probability distribution, haying u = 5, and p = 0.15. Please show the rst step of each line, in decimals, fractions, or percents; then calculate the answers. 6. You write a multiplechoice quiz worth 25 marks, with 5 possible answers for each question. {a} State the expected value E111} for this distribution. {b}Showing a suitable number of middle steps, determine the pmbability of getting it} correct answers by guessing. {b} Showing a suitable number of middle steps, determine the probability of getting at most 23 correct answers by guessing. 2" Using the standard deck of 52 playing cards, you wish to draw cards which are only clubs. You draw 6 cards in total, replacing each one after it has been drawn. {a)Determine the expected value E{X} for this probability distribution. {b)Showing a suitable number of middle steps, calculate the probability of 1 \"successes,\" that is, drawing exactly 2 clubs. {c} Showing a suitable number of middle steps, calculate the probability of drawing at least 1 club