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Quiz

100-110

Mirzhan Abdildayev 11 questions

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Questions in this quiz (11)

  1. 1100. From past experience a professor knows that the test score of a student taking her final examination is a random variable with mean 75. Suppose, in addition, the professor knows that a variance of a student’s test score is equal to 25. Find the right inequation.
    1. AP(|x-75|<30)> 1/36
    2. BP(65<=x<=85) >= 3/4
    3. CP(60<=x<90) > 1/9
    4. DP(X>80) > 75/80
    5. EP(|x-75|<=45) < 80/81
  2. 2102. Find the false statements.
    1. A0 <= F(x) <= 1
    2. BF(-∞) = 0
    3. CF(+∞) =0
    4. DF(x) = P(X < x)
    5. E-∞∫+∞ F(x)dx = 1
  3. 3101. Find the right statements.
    1. AD(X) = -∞∫+∞ x^2f(x)dx
    2. BM(X) = -∞∫+∞ xf(x)dx
    3. CF(x) = f'(x)
    4. DD(X) = -∞∫+∞ x^2f(x)dx-M(X)
    5. EP(X>A) > M(X)/A
  4. 4103. Find the false statements.
    1. A-∞∫+∞ f(x)dx = 1
    2. BP(x1 <= X <= x2) = x1∫x2 f(x)dx
    3. CF(x) = -∞∫x f(t)dt
    4. DP(x1 <= X) = x1∫+∞ f(t)dt
    5. EP(x1 <= X < x2) = F(x1) - F(x2)
  5. 5104. Find the false inequations.
    1. AP(|X-M(X)|>E) <= D(X)/E^2
    2. BP(|X-M(X)|>E) < D(X)/E^2
    3. CP(|X-M(X)|>E) >= D(X)/E^2
    4. DP(X>A) <= M(X)/A
    5. EP(X<=A) > 1- M(X)/A
  6. 6105. Find the right property of distribution function.
    1. AF(-∞) = 0
    2. BF(-∞) = 1/2
    3. CP(x1 <= X) = x1∫1 f(x)dx
    4. D-∞∫+∞ f(x)dx = 1
    5. EF(+∞) = +∞
  7. 7106. Find the right property of probability density.
    1. A-∞∫+∞ f(x)dx = 1
    2. Bf(-∞) = 1/2
    3. CP(x1 <= X) = x1∫1 f(x)dx
    4. DF(-∞) = 1
    5. EP(x1 <= X < x2) = F(x1) - F(x2)
  8. 8107, Let a series of distribution of a random variable be given: Photo. What does this tell us about the random variable X?Image for question 8
    1. AImage for option A
    2. BImage for option B
    3. CM(X^2)=9
    4. DD(X) = 10
    5. EM(X)=1
  9. 9108. Let a series of distribution of a random variable be given: . What does this tell us about the random variable X? Image for question 9
    1. AImage for option A
    2. BImage for option B
    3. CM(X) = 4
    4. DD(X) = 22.2
    5. EM(X) = 9
  10. 10109. Let a series of distribution of a random variable be given: . What does this tell us about the random variable X? Image for question 10
    1. AImage for option A
    2. BD(X) = 1.09
    3. CD(X) = 1
    4. DM(X) = 2

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Description
Mathematics Quiz on 100-110, created by Mirzhan Abdildayev on 28/12/2019.
Language
English
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