Pretend that I have 50 pairs of socks, and each pair is a different color. Suppose all 100 socks are mixed up in a laundry basket. In the dark, I pull out 40 socks atrandom. Part a. What is the probability that I have 20 matching pairs. Part b. What is the probability that I have AT LEAST one matching pair. Part c. What is theprobability that I have EXACTLY k matching pairs. Please leave your answers involving terms like n choose k.My thoughts, obviously, the sample space is 100 choose 40, but where I'm struggling is the actual count of the 3 events. For Part b. it seems simpler to determine thecomplement (no matchings pairs) and then doing 1- the complement. Please help!!
The problem states "Jay has two jobs to do, one after the other. Each attempt at jobs i takes one hour and is successful with probability pi. If p1 =.3 and p2 = .4,what is the probability that it will take Jay more than 12 hours to be successful on both jobs?"
Find the derivative of y=sin-1(x2)
Find the particular solution of the differential equationx^2/(y^2-7) dy/dx=1/2ysatisfying the initial condition y(1)=8 .
Step 3: Enter your full question details hereLine L is parellel to plane A, plane A is parellel to plane B, and line L is not parellel to plane B.
for which curve is y a function of x? 9 use-4<t<4) x=t^2 y=t^3
Use the half-angle formulas to determine the exact values of thesine, cosine, and tangent of the angle.165°3 sin(165°)=19 cos(165°)=23 tan(165°)=3
Determine whether the integral is convergent or divergent.
Find all 2x2 matrices such that ad-bc=1 and A^-1=A
Prove the hyperbolic function formula: sinhx(2x)=2sinhxcoshx
I need to use thedelta epsilon definitionI can get but Idon't know what to do from here because I can'tfactor it any further.
y"+y=2+x y(0)=1, y'(0)=2
Find the indicated partial derivatives.41. f(x,y,z)= y/(x+y+z), fy(2,1,-1)
Let f(x)=8x2. Find a value A such that the average rate of changeof f(x) from 1 to A equals 88i cantremember to do this. please help
if a function has cusps, endpoints, jumps, holes or verticalasymtotes, the derivative does not exist.correct ?
A spymaster has a network of 11 operatives whom he pays out of a slush fund containing $24000. For accounting reasons, his service requires him to use up his entirefund and to pay his operatives in integer multiples of $1000.(a) How many different ways can he pay his operatives?(b) Since an unpaid operative is unreliable, the spymaster decides that every operative will get at least $1000. With this rule, how many different ways can he pay hisoperatives?How do I approach this problem?
Temperatures in August are distributed normally with a mean of75 degrees and variance of 16 degrees squared. Using the change ofvariables technique, find the pdfof temperature measured inCelsius.F = 9/5 C + 32is the relation between Farenheitand Celsius