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Probability and StatisticsQuestion and Answers: Page 1

Question Number 225568 Answers: 1 Comments: 1

A farmer produces seeds in packets for sale. The probability that a seed selected at random will grow is 0.8. If there are 20 seeds, what is the probability that less than 2 will not grow?

$${A}\:{farmer}\:{produces}\:{seeds}\:{in}\:{packets} \\ $$$${for}\:{sale}.\:{The}\:{probability}\:{that}\:{a}\:{seed} \\ $$$${selected}\:{at}\:{random}\:{will}\:{grow}\:{is}\:\mathrm{0}.\mathrm{8}. \\ $$$${If}\:{there}\:{are}\:\mathrm{20}\:{seeds},\:{what}\:{is}\:{the} \\ $$$${probability}\:{that}\:{less}\:{than}\:\mathrm{2}\:{will}\:{not} \\ $$$${grow}? \\ $$

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$$\:\: \\ $$$$ \\ $$$$ \\ $$$$ ? \\ $$

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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

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

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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?

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

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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)

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

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