Recent content by diracdelta

Sphere of mass m, and charge q is hanged on a thread of length l in a constant gravitational field g. There is infinite horizontal conductive plan which is kept at potential 0. Find period of small oscillations of sphere. So my question is next, how do i get the force due tu charge q in Newtons...

Hmm, i see. Ok then, i get this F_{Y}(y)=P(Y\leq y)=P(x^{1/2}+1\leq y)=P(x\leq (y+1)^{2}) =F_{x}(y+1)^{2} \\ f_{X}(x)=F_{X}'(y+1)^{2}=f_{X}(y+1)^{2}* \left | \frac{d}{dy} (y+1)^{2})\right |=f_{X}(y+1)^{2})*2y \\ f_{Y}(y)=\begin{cases} 2y & \text{ if } 1\leq x\leq 2\\ 0 & \text{ else} \end{cases}...

Homework Statement Random variable X is uniformly distributed on interval [0,1]: f(x)=\begin{cases} 1 & \text{ if } 0\leq x\leq 1\\ 0 & \text{ else} \end{cases} a) Find probability density function ρ(y) of random variable Y=\sqrt{X} +1 I tried like this. Is it good, if no why not...

Ok. Thanks for help! I noticed. By the way, could someone help me with PeroK's suggestion? I have no clue what other acces should I approach this problem with. Only thing that pops into my mind is number of number of ways "A" occurs / number of all possible ways.

Alright. So I only choose one out of 4 cells, which yields p= 4/256 As far as this, 4 choose 2 (cells) and (4 choose 2) for balls?

Homework Statement Four balls are distributed randomly and independently into 4 cells. What is probability that: a) In every cell there is exactly one ball? b) All four balls be in one cell? c)Two balls in one cell ( any) , other two balls in other cell (any)? (assume that the balls are...

Oh I get it now. Thanks!

I am not sure I understand exactly. I am supposed to find factor which preserves P(H1|~H4) + P(H2|~H4) + P(H3|~H4) = 1 and later on multiply every P(A|H1) with it. What does tilda ~ means?

Homework Statement We have 6 new and 4 used products in a box. We draw randomly 2 products and used them for a while. then return them back into the box. After that, again we draw 2 products. a) What is probability that at least one is new? b) What is probability that at least one is new if we...

No. So basicly I have this: Five slots, where one is determined in advance to be women. Lets say its first slot. We can choose that women in 7 ways, so is this ok 7[\binom{6}{1}\binom{4}{3} + \binom{6}{2}\binom{4}{2} + \binom{6}{3}\binom{4}{1}] +\binom{6}{5}

Hmm, I tought something wrong. But i got it now. Thhanks !

I see that. I also have to do the same for men? One more thing. Do I then sum 1 women and 4 men + ... 4 men & 1 women?

You are right, its accident. first term shouldn't be there. ( expr. c) d) says that we have determined that one person is definitely women, other 4 can be both men and women. - So, first we can choose women in 7 ways. but how do i get other four ? By the way, a) and b) are correct?

Homework Statement Out of 7 women and 4 men you need to choose delegation. On how many ways you can choose delegation that consist of: a) five people - 3 women and 2 men b)any number of people, but with equal number of men and women c) five people with at least 3 women d) five peope where one...

Av1=λ1v1 And Av2=λ2v2 While v1 and v2 are ||v1|| and |v2|| So Q(x) = 1* η12 + +6η22 η1=1*(ε1 - ε2)*(1/21/2 η2= 6*(ε1 - 1/2 ε2)*(51/2/2) And Q(x) = λ1η12 + λ2η22