In each of the 20 independent trials the probability of success is 0.2. Find the variance of the number of successes in these trials.
0
1
10
3.2
0.32
A coin tossed twice. What is the probability that head appears in the both tosses.
1/2
1/4
0
4:1
1
Continuous random variable X is normally distributed with mean=1 and variance=4. Find P(4≤x≤6).
0,0606
0,202
0,0305
0,0484
0,0822
Random variable X is uniformly distributed on the interval [-2, 2]. Indicate the right values for E[X] and Var(X).
E[X]=0 and Var(X)=4
E[X]=0 and Var(X)=1.33
E[X]=0.5 and Var(X)=1.33
E[X]=0 and Var(X)=0
No right answer
Expectation and standard deviation of the normally distributed random variable X are respectively equal to 15 and 5. What is the probability that in the result of an experiment X takes on the value in interval (5, 20)?
(20) – (5)
(5) + (10)
(1) – (0)
(20) + (5)
(1) + (2)-1
(2) – (1)
Normally distributed random variable X is given by density
. Find the mean.
-1/2
1/2
1/4
0
1
Indicate the density function of the normally distributed random variable X when mean=2 and variance=9.
Indicate the pdf for standard normal random variable.
,
,
,
Random variable X is uniformly distributed in interval [0, 3]. What is the variance of X?
0.75
1.5
3
0.25
1
Random variable X is uniformly distributed in interval [0, 15]. What is the expectation of X?
15
3.75
7.5
30
0
Random variable X is uniformly distributed in interval [-2, 1]. What is the distribution of the random variable Y=2X+2?
Y is normally distributed in the interval [-4, 2]
Y is uniformly distributed in the interval [-2, 4]
Y is normally distributed in the interval [-2, 4]
Y is exponentially distributed in the interval [-4, 2]
Y has other type of distribution
Random variable X is uniformly distributed in interval [-11, 26]. What is the probability P(X> - 4)?
29/38
29/37
30/37
15/19
0
Random variable X is uniformly distributed in interval [1, 3]. What is the distribution of the random variable Y=3X+1?
Y is normally distributed in the interval [3, 9]
Y is uniformly distributed in the interval [4, 10]
Y is normally distributed in the interval [4, 10]
Y is exponentially distributed in the interval [4, 10]
Y has other type of distribution
Random variable X is uniformly distributed in interval [-11, 20]. What is the probability P(X ≤ 0) ?
11/32
5/16
10/31
11/31
0
Random variable X is given by density function f(x) in the interval (0, 1) and otherwise is 0. What is the expectation of X?
E[X]=0
Random variable X is given by density function f(x) = x/2 in the interval (0, 2) and otherwise is 0. What is the expectation of X?
1/2
1
4/3
2/3
0
Random variable X is given by density function f(x) = 2x in the interval (0, 1) and otherwise is 0. What is the expectation of X?
1/2
1
4/3
2/3
0
Random variable X is given by density function f(x) = 2x in the interval (0, 1) and otherwise is 0. What is the probability P(0 < X < 1/2) ?
1/2
1/4
0
1/8
0
None of these