100-110

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?

   

   1. A
   2. 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?

   

   1. A
   2. 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?

    

    1. A
    2. BD(X) = 1.09
    3. CD(X) = 1
    4. DM(X) = 2

11. 11110. Let a series of distribution of a random variable be given: . What does this tell us about the random variable X?

    

    1. A
    2. B
    3. CM(X^2) = 1
    4. DD(X) = 1
    5. EM(X) = 0.1

Descripción

Mathematics Test sobre 100-110, creado por Mirzhan Abdildayev el 28/12/2019.

Autor

Mirzhan Abdildayev

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