(Round to four decimal places as needed.) (a) Find the probability of choosing a
ID: 2922073 • Letter: #
Question
(Round to four decimal places as needed.)
(a) Find the probability of choosing all first-shift workers.
(b) Find the probability of choosing all second-shift workers.
(c) Find the probability of choosing exactly six first-shift workers.
(d) Find the probability of choosing exactly four second-shift workers.
Score: 0 of 1 pt X3.4.51 A warehouse employs 22 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment 24 of 26 (25 complete) Score: 88.46%, 23 of 26 pts Question Help * Complete parts (a) through (d). (a) Find the probability of choosing all first-shift workers (Round to four decimal places as needed.)Explanation / Answer
(a) Total number of ways to choose eight workers out of 39 = 39C8 = 61523748
The eight first shift workers can be chosen in 22C8 = 319770 ways
=> Probability of choosing all first-shift workers = 319770 / 61523748 = 0.0052.
(b) The eight second shift workers can be chosen in 17C8 = 24310 ways
=> Probability of choosing all second-shift workers = 24310 / 61523748 = 0.0004.
(c) The six first shift workers can be chosen in 22C6 = 74613 ways
The two second shift workers can be chosen in 17C2 = 136 ways
=> Probability of choosing workers = 74613 * 136 / 61523748 = 0.1649.
(d) The four first shift workers can be chosen in 22C4 = 7315 ways
The two four shift workers can be chosen in 17C4 = 2380 ways
=> Probability of choosing workers = 7315 * 2380 / 61523748 = 0.2830.
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