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Probability and StatisticsQuestion and Answers: Page 1

Question Number 222652    Answers: 0   Comments: 1

Question Number 221959    Answers: 0   Comments: 4

A bag contains 5 identical balls of which there is one red, one blue and the rest are white. What is the probability of selecting at least one white balls, if 3 balls are selected.

A bag contains 5 identical balls of which there is one red, one blue and the rest are white. What is the probability of selecting at least one white balls, if 3 balls are selected.

Question Number 221417    Answers: 0   Comments: 0

Let S be delimited by the equations x=0; y=0 ; z=0 and x+y+z=0 Find the flux of vector field V(x,y,z)=(x,y,x^2 +y^2 ) through S

$${Let}\:\:{S}\:{be}\:{delimited}\:{by}\:{the}\:{equations}\: \\ $$$${x}=\mathrm{0};\:{y}=\mathrm{0}\:;\:{z}=\mathrm{0}\:{and}\:{x}+{y}+{z}=\mathrm{0} \\ $$$${Find}\:{the}\:{flux}\:{of}\:{vector}\:{field}\: \\ $$$${V}\left({x},{y},{z}\right)=\left({x},{y},{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \right)\:{through}\:{S} \\ $$

Question Number 221052    Answers: 2   Comments: 0

Question Number 220628    Answers: 0   Comments: 0

Question Number 220627    Answers: 3   Comments: 0

Question Number 220626    Answers: 2   Comments: 0

Question Number 220625    Answers: 1   Comments: 0

Question Number 220538    Answers: 0   Comments: 0

Question Number 220378    Answers: 0   Comments: 0

Question Number 220074    Answers: 0   Comments: 0

Question Number 219560    Answers: 0   Comments: 0

Suppose that an urn contains 100,000 marbles and 120 are red . If a random sample of 1000 is drawn, what are the probabilities that 0,1,2,3 and 4 respectively will be red. What is the mean and variance?

Suppose that an urn contains 100,000 marbles and 120 are red . If a random sample of 1000 is drawn, what are the probabilities that 0,1,2,3 and 4 respectively will be red. What is the mean and variance?

Question Number 218437    Answers: 0   Comments: 0

Question Number 217909    Answers: 0   Comments: 15

If two fair dice is thrown twice, what is the probability of obtaining an even number

If two fair dice is thrown twice, what is the probability of obtaining an even number

Question Number 217818    Answers: 1   Comments: 0

Question Number 217617    Answers: 1   Comments: 0

Question Number 216810    Answers: 0   Comments: 1

40 random numbers picked from 0 to 100. what is the probability that at least half of them has the range of 10.

$$ \\ $$40 random numbers picked from 0 to 100. what is the probability that at least half of them has the range of 10.

Question Number 216746    Answers: 0   Comments: 0

Calculate (((5+i)^4 )/(239+i)) Then Prove the Machin formula 4arctan((1/5))−arctan((1/(239)))=(π/4)

$${Calculate}\:\frac{\left(\mathrm{5}+{i}\right)^{\mathrm{4}} }{\mathrm{239}+{i}}\:{Then}\: \\ $$$${Prove}\:{the}\:{Machin}\:{formula} \\ $$$$\mathrm{4}{arctan}\left(\frac{\mathrm{1}}{\mathrm{5}}\right)−{arctan}\left(\frac{\mathrm{1}}{\mathrm{239}}\right)=\frac{\pi}{\mathrm{4}} \\ $$

Question Number 216323    Answers: 1   Comments: 2

Let 10≥x,y≥0 and x,y∈R Find a)P(x−2>y) b)P(x+2<y)

$$\mathrm{Let}\:\mathrm{10}\geqslant{x},{y}\geqslant\mathrm{0}\:\mathrm{and}\:{x},{y}\in\mathbb{R} \\ $$$$\mathrm{Find} \\ $$$$\left.{a}\right){P}\left({x}−\mathrm{2}>{y}\right) \\ $$$$\left.{b}\right){P}\left({x}+\mathrm{2}<{y}\right) \\ $$

Question Number 216161    Answers: 1   Comments: 0

Question Number 215710    Answers: 1   Comments: 0

3 different integer numbers are chosen from 0 to 10. what is the probability that they form 1 Cluster 3 Clusters 2 Clusters A cluster is a set of numbers that has maximum range of 2. for example 0,1,2 forms only one cluster. 0,1,4 forms 2 {0,1} and {4}. 0,1,3 also forms 2 {0,1} and {1,2}

$$ \\ $$3 different integer numbers are chosen from 0 to 10. what is the probability that they form 1 Cluster 3 Clusters 2 Clusters A cluster is a set of numbers that has maximum range of 2. for example 0,1,2 forms only one cluster. 0,1,4 forms 2 {0,1} and {4}. 0,1,3 also forms 2 {0,1} and {1,2}

Question Number 215041    Answers: 0   Comments: 0

3 numbers are selected randomly from 0 to 10 (Continuous). forming a new range. what is the probability that the new range is less than or equal to 2? new range = max-min

$$ \\ $$3 numbers are selected randomly from 0 to 10 (Continuous). forming a new range. what is the probability that the new range is less than or equal to 2? new range = max-min

Question Number 213428    Answers: 0   Comments: 0

Question Number 212926    Answers: 2   Comments: 0

find integers x,y such that (x/(x−3)) −(4/(y^2 −45)) = (1/(100))

$$\:\mathrm{find}\:\mathrm{integers}\:\mathrm{x},\mathrm{y}\:\mathrm{such}\:\mathrm{that}\: \\ $$$$\:\:\:\frac{\mathrm{x}}{\mathrm{x}−\mathrm{3}}\:−\frac{\mathrm{4}}{\mathrm{y}^{\mathrm{2}} −\mathrm{45}}\:=\:\frac{\mathrm{1}}{\mathrm{100}} \\ $$

Question Number 210832    Answers: 2   Comments: 1

If the probability of A solving a question is 1/2 and the probability of B solving the question is 2/3 then the probability of the question being solved is

$$ \\ $$If the probability of A solving a question is 1/2 and the probability of B solving the question is 2/3 then the probability of the question being solved is

Question Number 209732    Answers: 1   Comments: 0

Q) The collection A={12,13,15,18,23,24,25,26}& B⊆A if m,M ∈B ; m=min & M =max & nm=10k which number of B : 1)59 2)60 3)61 4)62

$$\left.{Q}\right)\:{The}\:{collection}\:{A}=\left\{\mathrm{12},\mathrm{13},\mathrm{15},\mathrm{18},\mathrm{23},\mathrm{24},\mathrm{25},\mathrm{26}\right\}\&\:{B}\subseteq{A} \\ $$$${if}\:\:{m},{M}\:\in{B}\:\:;\:{m}={min}\:\&\:{M}\:={max}\:\&\:\:{nm}=\mathrm{10}{k} \\ $$$${which}\:{number}\:{of}\:\:{B}\:: \\ $$$$\left.\mathrm{1}\left.\right)\left.\mathrm{5}\left.\mathrm{9}\:\:\:\:\:\:\:\mathrm{2}\right)\mathrm{60}\:\:\:\:\:\:\:\mathrm{3}\right)\mathrm{61}\:\:\:\:\:\:\mathrm{4}\right)\mathrm{62} \\ $$$$ \\ $$

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