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Zielflug [23.3K]

3 years ago

8

Suppose that a point (X,Y) us chosen at random from the rectangle S defined as follows: S={(x,y) : 0<= x <=2 and 1<=y&l

t;=4.} a. Determine the joint p.d.f. of X and Y, the marginal p.d.f. of X, and the marginal p.d.f. of Y. b. Are X and Y independent?

1 answer:

mrs_skeptik [129]3 years ago

7 0

For a 19 foot scale find the frequency of a note to the frequency of the preceding note?

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24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th

neonofarm [45]

Answer:

a) $p(X= 2) = 0.261$

b) P(x>2) = 0.566

c) P(2<x<5) = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

Probability 0f U.S. adults say they are more likely to make purchases during a sales tax holiday (p) = 0.24

n = 10

By using Poisson distribution

mean number of make purchases during a sales tax holiday

λ = np = 10 X 0.24 = 2.4

a)

The probability of getting exactly '2'

The probability $p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }$

$p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261$

b) The probability of getting more than '2'

$P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}$

$= e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}$

= 0.090 + 0.2177+0.261 = 0.566

P(x>2) = 0.566

c) The probability of getting between two and five

P( 2<x<5) = P(x=3)+p(x=4) = $= e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+$

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0

3 years ago

Any suggestions or answers

Kaylis [27]

The correct answer is (20,-50)

7 0

3 years ago

it costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic costs $3 each. How many b

goldfiish [28.3K]

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Earth’s surface is approximately 70% water. There is no water on the surface of Mars, and its diameter is roughly

Pie

Answer:

Earth

Step-by-step explanation:

You don't need scientific notation.

The areas of similar figures are proportional to the square of their linear scale factor. If Mars is 1/2 the diameter of Earth, its total surface area is (1/2)² = 1/4 that of Earth.

That is, the land area of Mars is 25% of the total area of Earth.

The land area of Earth is 1-70% = 30% of the total area of Earth. 30% is more than 25%.

Earth has more land area than Mars.

8 0

3 years ago

Consecutive angles in a parallelogram are supplementary. What is the value of x?

Naddika [18.5K]

Step-by-step explanation:

HERE,

$\angle{PQR=20+2x }$ ⠀

$\angle{ QRS=6x }$ ⠀

we know that,

sum of consecutive angle of a parallelogram =180

so,

According to the question,

$\angle{PQR}+\angle{QRS}=180$ ⠀

$\tt{20+2x+6x=180 }$ ⠀

$\tt{8x+20=180 }$ ⠀

$\tt{8x=180-20 }$ ⠀

$\tt{8x=160 }$ ⠀

$\tt{x=\dfrac{160}{20} }$ ⠀

$\tt{ x=20 }$ ⠀

8 0

2 years ago