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3 years ago

9

there are 9 counters. 4 red. 2 blue. 3 yellow. 2 counters are picked at random. what is the probability that at least 1 yellow c

ounter is picked?

2 answers:

SpyIntel [72]3 years ago

8 0

Ur answer is 3 of 9 hope it helps

Gennadij [26K]3 years ago

5 0

I think it would be 3 of 9. Hope this helps :)

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Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

$P(-\sqrt{y} \leq X \leq \sqrt{y}) = \int_{-\sqrt{y}}^0 1+t dt +\int_{0}^{\sqrt{y}} 1-t dt$

And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

3 0

4 years ago

Calculate AD and hence BD.

Vilka [71]

Answer:

AD = 15 cm , BD = 3 cm

Step-by-step explanation:

Δ ABC is similar to Δ ADE ( by the AA postulate )

then the ratios of corresponding sides are in proportion, that is

$\frac{AD}{AB}$ = $\frac{DE}{BC}$ ( substitute values )

$\frac{AD}{12}$ = $\frac{10}{8}$ ( cross- multiply )

8 × AD = 12 × 10 = 120 ( divide both sides by 8 )

AD = 15 cm

AB + BD = AD , that is

12 + BD = 15 ( subtract 12 from both sides )

BD = 3 cm

7 0

2 years ago

URGENT!!. Find the perimeter and area <br> 9.85 m<br> 15 m<br> 11 m<br> 9m

SIZIF [17.4K]

hope its helps

Step-by-step explanation:

total area = 99m² + 39.4m²

= 138.4m²

6 0

3 years ago

I need help with this asap!

VladimirAG [237]

Answer:1.78

Step-by-step explanation:

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3 years ago

Find the percent of decrease from $60 to $48. Round the percent to the nearest tenth if necessary.

Rom4ik [11]

Answer: 20%

Step-by-step explanation: Basically you find the difference which is twelve, and put it over the original amount which is 60. You get 1/5 which in percent form is 20%

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3 years ago