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May
15
comment Difference of normal r.v's. Please check my answer.
@DepeHb: Yes to the question in your comment
May
15
awarded  probability-theory
May
7
comment “Square root” of a normal RV?
Here is one possible approach, though I have no idea whether it is useful: (a) take $Y=\log_e |N|$ where $N$ has a standard normal distribution, (b) find the characteristic function of $Y$, (c) take its square root, and (d) determine whether this is the characteristic function of a probability distribution. If it is, say of $Y_1$, then take $X_1 = Z_1 \exp(Y_1)$ where $Z_1=+1 \text{ or }-1$ with equal probability, independently of $Y_1$; $X_2$ would have the same distribution but be independent of $X_1$.
May
7
comment Distribution of sum of independent random variables
@Ashok: If you had a point mass at $0$ and a similar point mass at $\frac12$ then the density would be twice as high just above above $\frac12$ as just above $0$
May
7
comment standard error in a dice betting game
Exercise 22-4 looks slight different to me, and gives the solution if you click
May
7
awarded  Caucus
May
1
awarded  probability-distributions
Apr
30
answered Distribution of sum of independent random variables
Apr
30
answered Count the number of selecting 5 numbers
Apr
30
awarded  Nice Answer
Apr
26
comment Confused between normal and binomial dist.
Independent because you need to assume it to answer the question (how does the weight of the first fish affect the weight of the second fish). Binomial because you want the probability of a certain number of successes form a certain larger number of attempts. $0.3085$ comes from the normal distribution for the probability that a fish weighs more than $1.4$kg. Each of these are rather basic statistics questions which you have probably just been taught.
Apr
26
answered Can anyone explain NBA lottery to me?
Apr
26
answered Confused between normal and binomial dist.
Apr
26
reviewed Close Show that: A quotient Space of X is T1 iff each element
Apr
26
reviewed Approve suggested edit on Confused between normal and binomial dist.
Apr
26
comment Compound discount
and an infinite number costs a total of $100
Apr
24
answered Moment generating functions and normal random variables.
Apr
24
answered Solving recursive sequence using generating functions
Apr
20
comment Complicated integral
Integration by parts $w$ times will give you a sum of terms
Apr
20
comment Simulate random sampling with replacement
I am not sure what "independently" means in this context, but you should be able to calculate the probability of a given sample of $c$ balls with replacement from $n$ and then the probability of drawing the same $c$ balls in your more complicated setup. Depending on $c$ and $d$, there may be a particular pattern of sample in the standard arrangement which cannot possibly be reproduced in the complicated one