85. Indicate the correct statement related to Poisson random variable .

1. ,

2. ,

3. ,

4. , is const

5. None of the given answers is correct

86. The probability density function of a random variable X is given by . Calculate the parameter. 4

87. Probability density function of the normal random variable X is given by . What is the mean square deviation?

• 5

• 3

• 25

• 50

• 9

88. The event A occurs in each of the independent trials with probability p. Find probability that event A occurs at least once in the 5 trials.

1. 

2. correct

3. 

4. 

5. None of the given answers is correct

89. Choose the density function of random variable

1. 

2. 

3. 

4. 

5. 

90. Choose the probability distribution function of random variable

1. 

2. 

3. 

4. 

5. 

91. Choose the probability density function of random variable

1. 

2. 

3. 

4. 

5. 

92. The mathematical expectation and dispersion of a random variable X distributed under the binomial law are …, respectively.

1. 

2. 

3. 

4. 

5. 

93. The mathematical expectation and the dispersion of a random variable distributed under the Poisson are …, respectively.

1. 

2. 

3. 

4. 

5. 

94. The probability distribution function of random variable is

1. 

2. 

3. 

4. 

5. 

95. The mathematical expectation and dispersion of a random variable X having the geometrical distribution with the parameter p are …, respectively.

1. 

2. 

3. 

4. 

5. 

96. The mathematical expectation and dispersion of a random variable X having the uniformly distribution on [a,b] are …, respectively.

1. 

2. 

3. 

4. 

5. 

97. A normally distributed random variable X is given by the differential function: . Find the interval in which the random variableX will hit in result of trial with the probability 0,9973. (-3,3)

1. Write the density of probability of a normally distributed random variable X if M(X) = 5, D(X) = 16.

1. 

2. 

3. 

4. 

5. 

2. xi	2	3	6	9
   pi	0,1	0,4	0,3	0,2

   A discrete random variable X is given by the following law of distribution:

By using Chebyshev inequality estimate the probability that |X-M(X)|>3.1/3