Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

X5.3.18 Question Help omputer can be classified as either cutting-edge or ancien

ID: 3339271 • Letter: X

Question

X5.3.18 Question Help omputer can be classified as either cutting-edge or ancient 98% of computers are classified as ancient a Two computers are chosen at random. What is the probability that both computers are ancient? b) Eight computers are chosen at random. Wha the probability that all eight computers are ancient? (c) What is the probability that at least one of eight randomly selected computers is cutting-edge? Would it be unusual that at least one of eight randomly selected computers is cutting-edge?

Explanation / Answer

Given that 98% of computers are ancient

probability that computers are ancient = 0.98

a)

probability that both computers chosen are ancient = 0.98*0.98 = 0.9604

b)

probability that all eight computers chosen are ancient = 0.988 = 0.8508

c)

probability that at least one of eight randomly selected computers is cutting-edge = 1-probability that all eight computers chosen are ancient = 1-0.8508 = 0.1492

No it is not unsual that at least one of eight randomly selected computers is cutting-edge because its probabilty is 0.1492 which is greater than 0.05