Question and Answers Forum

All Questions Topic List

Probability and StatisticsQuestion and Answers: Page 3

Question Number 188181 Answers: 0 Comments: 0

Question Number 187892 Answers: 0 Comments: 0

Question Number 187706 Answers: 1 Comments: 0

Question Number 187223 Answers: 0 Comments: 0

Question Number 187073 Answers: 0 Comments: 0

suppose that a sample of size n=8 is drawn from a population with PDF: {f(x)=(x^2 /9), 0 < x < 3} find (1) p(1 < x < 2) (2) PDF and CDF of the fourth smallest O.S

$${suppose}\:{that}\:{a}\:{sample}\:{of}\:{size} \\ $$$${n}=\mathrm{8}\:{is}\:{drawn}\:{from}\:{a}\:{population}\:{with}\:{PDF}:\: \\ $$$$\left\{{f}\left({x}\right)=\frac{{x}^{\mathrm{2}} }{\mathrm{9}},\:\mathrm{0}\:<\:{x}\:<\:\mathrm{3}\right\} \\ $$$${find} \\ $$$$\left(\mathrm{1}\right)\:\:\:{p}\left(\mathrm{1}\:<\:{x}\:<\:\mathrm{2}\right) \\ $$$$\left(\mathrm{2}\right)\:\:{PDF}\:{and}\:{CDF}\:{of}\:{the}\:{fourth}\:{smallest}\:{O}.{S} \\ $$

Question Number 186808 Answers: 0 Comments: 0

Question Number 186721 Answers: 1 Comments: 1

Question Number 186547 Answers: 1 Comments: 0

p(a or b)=0.7 and p(a)=0.4 find p(b) if a and b are independent

$${p}\left({a}\:{or}\:{b}\right)=\mathrm{0}.\mathrm{7}\:{and}\:{p}\left({a}\right)=\mathrm{0}.\mathrm{4} \\ $$$${find}\:{p}\left({b}\right)\:{if}\:{a}\:{and}\:{b}\:{are}\:{independent} \\ $$

Question Number 186331 Answers: 0 Comments: 5

How many possibilities are there for picking random numbers that ranges from 1-3 that sum up to 7?

$$ \\ $$How many possibilities are there for picking random numbers that ranges from 1-3 that sum up to 7?

Question Number 185378 Answers: 0 Comments: 0

Question Number 183285 Answers: 0 Comments: 0

Question Number 182952 Answers: 1 Comments: 0

what is the probability that at least two from 23 people have birthday at the same day? (an unsolved old question)

$${what}\:{is}\:{the}\:{probability}\:{that}\:{at}\:{least} \\ $$$${two}\:{from}\:\mathrm{23}\:{people}\:{have}\:{birthday}\:{at} \\ $$$${the}\:{same}\:{day}? \\ $$$$ \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right) \\ $$

Question Number 182620 Answers: 1 Comments: 0

Question Number 182429 Answers: 0 Comments: 1

Question Number 182360 Answers: 1 Comments: 5

In equation ax^2 +bx+c=0, a,b,c are randomly selected from integers; what is the probability that roots will be real?

$$\mathrm{In}\:\mathrm{equation}\:\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}=\mathrm{0},\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{are} \\ $$$$\mathrm{randomly}\:\mathrm{selected}\:\mathrm{from}\:\mathrm{integers}; \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{roots} \\ $$$$\mathrm{will}\:\mathrm{be}\:\mathrm{real}? \\ $$

Question Number 182331 Answers: 1 Comments: 0

a box contains 5 white balls and some black balls. if the probability of drawing a black ball from the bag is twice the prbability of drawimg a white ball then find number of black balls.

$${a}\:{box}\:{contains}\:\mathrm{5}\:{white}\:{balls}\:{and}\:{some}\:{black} \\ $$$${balls}.\:{if}\:{the}\:{probability}\:{of}\:{drawing}\:{a}\:{black} \\ $$$${ball}\:{from}\:{the}\:{bag}\:{is}\:{twice}\:{the}\:{prbability} \\ $$$${of}\:{drawimg}\:{a}\:{white}\:{ball}\:{then}\:{find}\:{number} \\ $$$${of}\:{black}\:{balls}. \\ $$

Question Number 181677 Answers: 0 Comments: 0

the distirbution function for a random variable X is F(x)= { ((1−2e^(−2x) x≥0)),((0 x<0)) :} find 1)the density function f(x) 2)p(x>2) 3)p(−3<x≤4)

$$\:{the}\:{distirbution}\:{function}\:{for}\:{a}\:{random} \\ $$$${variable}\:{X}\:{is} \\ $$$${F}\left({x}\right)=\begin{cases}{\mathrm{1}−\mathrm{2}{e}^{−\mathrm{2}{x}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\geqslant\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}<\mathrm{0}}\end{cases} \\ $$$${find} \\ $$$$\left.\mathrm{1}\right){the}\:{density}\:{function}\:{f}\left({x}\right) \\ $$$$\left.\mathrm{2}\right){p}\left({x}>\mathrm{2}\right) \\ $$$$\left.\mathrm{3}\right){p}\left(−\mathrm{3}<{x}\leqslant\mathrm{4}\right) \\ $$

Question Number 181140 Answers: 0 Comments: 6

I watch a favorite TV program daily for 30 min. If there were ads every 3 hours, what′s the probability that i will see ads once again the next day while watching that program?

$${I}\:{watch}\:{a}\:{favorite}\:{TV}\:{program}\:{daily}\:{for}\:\mathrm{30}\:{min}. \\ $$$$\:{If}\:{there}\:{were}\:{ads}\:{every}\:\mathrm{3}\:{hours},\:{what}'{s}\:{the} \\ $$$$\:{probability}\:{that}\:{i}\:{will}\:{see}\:{ads}\:{once}\:{again}\:{the}\:{next} \\ $$$$\:{day}\:{while}\:{watching}\:{that}\:{program}? \\ $$$$ \\ $$

Question Number 180990 Answers: 1 Comments: 0

2 blondes hair of 6 girls will sit around a circular table, what′s the probability that those two girls sitting next to each other?

$$\mathrm{2}\:{blondes}\:{hair}\:{of}\:\mathrm{6}\:{girls}\:{will}\:{sit}\:{around}\:{a}\:{circular} \\ $$$$\:{table},\:{what}'{s}\:{the}\:{probability}\:{that}\:{those}\:{two}\:{girls} \\ $$$$\:{sitting}\:{next}\:{to}\:{each}\:{other}? \\ $$

Question Number 180821 Answers: 0 Comments: 0

We want to randomly fill six digits with one of −1 or +1, what′s the probability that the sum value of those digits is zero provided that the same values of digits aren′t adjacents?

$${We}\:{want}\:{to}\:{randomly}\:{fill}\:{six}\:{digits}\:{with}\:{one}\:{of} \\ $$$$\:−\mathrm{1}\:{or}\:+\mathrm{1},\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{sum} \\ $$$$\:{value}\:{of}\:{those}\:{digits}\:{is}\:{zero}\:{provided}\:{that}\:{the}\:{same} \\ $$$$\:{values}\:{of}\:{digits}\:{aren}'{t}\:{adjacents}? \\ $$

Question Number 180775 Answers: 0 Comments: 7

A box contains 2 blue, 1 red balls. We randomly draw one ball then put it back and add two balls of the same color of that ball in the box. We randomly draw again one ball, if it was red then what′s the probability that the first drawn ball was blue?

$${A}\:{box}\:{contains}\:\mathrm{2}\:{blue},\:\mathrm{1}\:{red}\:{balls}.\:{We}\:{randomly} \\ $$$$\:{draw}\:{one}\:{ball}\:{then}\:{put}\:{it}\:{back}\:{and}\:{add}\:{two}\:{balls} \\ $$$$\:{of}\:{the}\:{same}\:{color}\:{of}\:{that}\:{ball}\:{in}\:{the}\:{box}.\:{We} \\ $$$$\:{randomly}\:{draw}\:{again}\:{one}\:{ball},\:{if}\:{it}\:{was}\:{red}\:{then} \\ $$$$\:{what}'{s}\:{the}\:{probability}\:{that}\:{the}\:{first}\:{drawn}\:{ball} \\ $$$$\:{was}\:{blue}? \\ $$

Question Number 180735 Answers: 1 Comments: 0

A and B throw with 3 dice. if A throws a sum of 16 points, the probability of B throwing a higher sum is pls solve

$${A}\:{and}\:{B}\:{throw}\:{with}\:\mathrm{3}\:{dice}.\:{if}\:{A}\: \\ $$$${throws}\:{a}\:{sum}\:{of}\:\mathrm{16}\:{points},\:{the} \\ $$$$\:{probability}\:{of}\:{B}\:{throwing}\: \\ $$$${a}\:{higher}\:{sum}\:{is}\: \\ $$$${pls}\:{solve} \\ $$

Question Number 180734 Answers: 1 Comments: 0

If f(x)={_(0, othrrwise) ^(2x , 0≤x≤a) is a probability density funtion of a random variable, then a=? pls solve

$${If}\:{f}\left({x}\right)=\left\{_{\mathrm{0},\:{othrrwise}} ^{\mathrm{2}{x}\:,\:\mathrm{0}\leqslant{x}\leqslant{a}} \:{is}\:{a}\:{probability}\right. \\ $$$${density}\:{funtion}\:{of}\:{a}\:{random}\: \\ $$$${variable},\:{then}\:{a}=? \\ $$$${pls}\:{solve} \\ $$

Question Number 180733 Answers: 0 Comments: 0

let X have a Bernoulli distribution with mean 0.4 , then the variance of 2X−3 is pls solve

$${let}\:{X}\:{have}\:{a}\:{Bernoulli}\:{distribution}\: \\ $$$${with}\:{mean}\:\mathrm{0}.\mathrm{4}\:,\:{then}\:{the}\:{variance} \\ $$$${of}\:\mathrm{2}{X}−\mathrm{3}\:{is} \\ $$$${pls}\:{solve} \\ $$

Question Number 180576 Answers: 4 Comments: 1

Question Number 180558 Answers: 1 Comments: 0

The football team meets in a circle to consult about some plan to play, what′s the probability that the one player of the opponent team who′s trying to eavesdrops is standing behind the goalkeeper?

$${The}\:{football}\:{team}\:{meets}\:{in}\:{a}\:{circle}\:{to}\:{consult} \\ $$$$\:{about}\:{some}\:{plan}\:{to}\:{play},\:{what}'{s}\:{the}\:{probability} \\ $$$$\:{that}\:{the}\:{one}\:{player}\:{of}\:{the}\:{opponent}\:{team}\:{who}'{s} \\ $$$$\:{trying}\:{to}\:{eavesdrops}\:{is}\:{standing}\:{behind}\:{the} \\ $$$$\:{goalkeeper}? \\ $$

Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10

Contact: info@tinkutara.com