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Madi Zhaksigeldi 131 Fragen

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  1. 1Let random variable X be normal with parameters mean=5, variance=9. Which of the following is a standard normal variable?
    1. AZ=(X-5)/5
    2. BZ=(X-3)/5
    3. CZ=(X-5)/3
    4. DZ=(X-3)/3
    5. ENone of these
  2. 2A bag has six red marbles and six blue marbles. If two marbles are drawn randomly from the bag, what is the probability that they will both be red?
    1. A1/2
    2. B11/12
    3. C5/12
    4. D5/22
    5. E1/3
  3. 3Two dice are rolled, find the probability that the sum is less than 13.
    1. A1
    2. B1.2
    3. C0.5
    4. D0.6
    5. E0.8
  4. 4Probability mass function for discrete random variable X is represented by the
    graph. Find Var(X).
    Bild zu Frage 4
    1. A1
    2. B4
    3. C5
    4. D2
    5. E6
  5. 5A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
    1. A175/256
    2. B1
    3. C1/256
    4. D81/256
    5. E144/256
  6. 6Find P(X>0.5). The joint distribution for two random variables X and Y is given by.Bild zu Frage 6
    1. A0.5
    2. B0.25
    3. C0.15
    4. D0.75
    5. E0.1
  7. 7Find the expected value of random variable X. Let X be continuous random variable with probability density function . Bild zu Frage 7
    1. A19/3
    2. B13/3
    3. C12/7
    4. D28/9
    5. E27/4
  8. 8Let f(x,y) = x + y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, be the joint PDF of X and Y. Compute E[2X].
    1. A7/6
    2. B0
    3. C1
    4. D7/12
    5. E1/6
  9. 9Let f(x,y) = x + y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, be the joint PDF of X and Y. Compute E[Y].
    1. A0.2
    2. B0.823
    3. C0.583
    4. D1
    5. E0
  10. 10Let f(x,y) = x + y, 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, be the joint PDF of X and Y. Compute E[X].
    1. A0.2
    2. B0.823
    3. C0.583
    4. D1
    5. E0

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Quiz am Ohne Titel, erstellt von Madi Zhaksigeldi am 22/05/2022.
Sprache
English
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