Following graduation, are hired as an assistant general manager for one of the c

Question

Following graduation, are hired as an assistant general manager for one of the casino The casino you wants to purchase 20 new gaming machines and wants you to provide statistical support for their purchasing decisions. International Gaming Technologies slot machines that are designed to pay-out once every 7 spins or-143). However, an industry insider tells you that IGT made a mistake in their production line and some of the machines actually pay out once every 4 spins (1/4 or o.25). Such flawed machines would be very bad for your boss'sbottom line. 1. The probability of getting one of these flawed machines is 1/5 or 0.2. If your casino is purchasing 20 machines, the number of flawed machines you could expect to get would be drawn from what distribution? (2pt Answer:

Explanation / Answer

Solving first 4 subparts.

1) Expected number of flawed machines=np=20*0.2=4

2) No. of ways of getting 2 flawed machines out of 20 machines is 20C2 = 20*19/2=190

3) P( getting no more than 2 flawed machines) = P(1)+P(2)+P(0) =20C1 * 0.2^1*0.8^19 + 20C2 * 0.2^2*0.8^18+20C0 * 0.2^0*0.8^20 = 20* 0.2^1*0.8^19 + 190*0.2^2*0.8^18 + 0.8^20 = 0.2060

4)P(getting more than 2 flawed machines ) = 1- P( getting no more than 2 flawed machines) = 1-0.2060=0.7940

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