tve or Fouse gor z 1. An prepared student who takes a 10-question tree-quie and
ID: 3365174 • Letter: T
Question
tve or Fouse gor z 1. An prepared student who takes a 10-question tree-quie and guesses at the answer of every question. What is the probability that the student answers exactly one question correctly. 2. Two dice are rolled. What is the probability of getting doubles or a sum of 6? 3. If the coin is flipped 10 times, what is the probability of exactly five heads? 4. Four microprocessors are randomly selected from a lot of 100 microprocessors among which 10 are defective. Find the probability of obtaining at least three defective microprocessor.Explanation / Answer
1) p = 0.5
n = 10
P(X = 1) = 10C1 * 0.51 * (1 - 0.5)10-1 = 0.0098
2) P(getting a doubles or sum of 6) = P(getting doubles) + P(getting sum of 6) - P(getting a doubles and sum of 6)
= 6/36 + 5/36 - 1/36
= 10/36
= 5/18 or 0.2778
3) P(heads) = 0.5
n = 10
P(X = 5) = 10C5 * 0.55 * (1 - 0.5)10-5 = 0.2461
4) P(at least 3 defective) = P(3 defectives) + P(4 defectives)
= 10C3 * 90C1 / 100C4 + 10C4 / 100C4
= 0.0028
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