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2 years ago

Q1 (a) A random variable X has the following probability function: Х O 1 2 3 4 5 and P(x) 0 k 2k 2k 3k 5k

Mathematics

1 answer:

gogolik [260]2 years ago

4 0

Answer:

(i) It is known that the sum of probabilities of a probability distribution of random variables is one.

∴0+k+2k+3k+k

+2k

+(7k

+k)=1

⇒10k

+9k−1=0

⇒(10k−1)(k+1)=0

⇒k=−1,

k=−1 is not possible as the probability of an event is never negative.

∴k=

(ii) P(X<3)=P(X=0)+P(X=1)+P(X=2)

=0+k+2k

=3k

=3×

(iii) P(X>6)=P(X=7)

=7k

=7×

100

(iv) P(0<X<3)=P(X=1)+P(X=2)

=k+2k

=3k

=3×

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3y-y+8-2=20 combine like terms and solve

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olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

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let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

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see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

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the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

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2 years ago

PLEASE HELP Graph the ordered pairs for y = 3x + 3 using r = {-2, 1, 2}.

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Answer:

(-2, -3), (1, 6), (2, 9) are plotted in the attached graph

Step-by-step explanation:

For x = -2, y = 3(-2) +3 = -3. The ordered pair is (-2, -3).

For x = 1, y = 3(1) +3 = 6. The ordered pair is (1, 6).

For x = 2, y = 3(2) +3 = 9. The ordered pair is (2, 9).

The graph is attached.

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2 years ago

Read 2 more answers

11] (8•10^-3)(2•10^10

Oduvanchick [21]

Answer:

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8*2*10^7

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3 years ago