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Recent questions tagged random-variable

3 votes
1 answer
69
ISI2015-MMA-51
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals $\frac{1}{n}$ $\frac{2}{n}$ $\frac{1}{n-1}$ $\frac{1}{n-2}$
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals$\frac{1}{n}$$\frac{2}{n}$$\frac{1}{n-1}...
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0 votes
0 answers
74
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
Suppose that the cdf of X is given by:F(a) ={0 for a < 01/5 for 0 ≤ a < 22/5 for 2 ≤ a < 41 for a ≥ 4.}Determine the pmf of X.
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2 votes
3 answers
78
probability
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
In a lottery, 10 tickets are drawn at random out of 50 tickets numbered from 1 to 50. What is the expected value of the sum of numbers on the drawn tickets?
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3 votes
1 answer
79
probability
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times.then the amount he wins______________(RS).
A player tosses two fair coins. He wins rs 2 if 2 heads occur and rs 1 if 1 head occurs. On the other hand, he loses rs 3 if no heads occur. if the player plays 100 times...
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2 votes
0 answers
83
Continous Probability
Find the value of $\lambda$ such that function f(x) is valid probability density function $f(x)=\lambda (x-1)(2-x)$ for $1 \leq x \leq 2$ $=0$ otherwise My $\lambda$ is coming to be $- \frac{6}{5}$ Am I correct?
Find the value of $\lambda$ such that function f(x) is valid probability density function$f(x)=\lambda (x-1)(2-x)$ for $1 \leq x \leq 2$$=0$ otherwise My $\lambda$ is com...
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1 votes
1 answer
84
Made easy workbook
Suppose the random variable X has the probability distribution given below: X -2 -1 0 1 2 P(X=X) 0.25 0.20 0.15 0.35 0.05 Let $Y=(2*(X^2))+6$.The expected value E(Y) is: A) 9.5 B) 6. C )15.5. D )18
Suppose the random variable X has the probability distribution given below:X-2-1012P(X=X)0.250.200.150.350.05Let $Y=(2*(X^2))+6$.The expected value E(Y) is:A) 9.5 B) ...
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0 votes
0 answers
85
Probability- Gravner- 82.c
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (c) How large should $n$ be so that the probability in(b) is larger than $0.99$?
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(c) How large should $n$ be so that the probability in(b) is larger than $0...
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1 votes
1 answer
86
Probability- Gravner- 82.b
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (b) Write down an approximation, in terms on $n$ and $\phi$, of the probability that $M$ differs from its expectation by less than $10$ %
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(b) Write down an approximation, in terms on $n$ and $\phi$, of the probabi...
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