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EleoNora [17]
3 years ago
12

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]3 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

2

+2k

2

+(7k

2

+k)=1

⇒10k

2

+9k−1=0

⇒(10k−1)(k+1)=0

⇒k=−1,

10

1

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

∴k=

10

1

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

=0+k+2k

=3k

=3×

10

1

=

10

3

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

=7k

2

+k

=7×

10

1

2

+

10

1

=

100

7

+

10

1

=

100

17

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

=k+2k

=3k

=3×

10

1

=

10

3

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victus00 [196]
I would say this is the answer:
You can put this solution on YOUR website!
<span>a right triangle has 2 legs and a hypotenuse.
the hypotenuse is opposite the 90 degree angle.
the 2 legs are opposite the other angles of the triangle.
if you know 2 of the dimensions then you simply use the formula to solve for the remaining dimension.
assume one of the legs is equal to a and the other leg is equal to b and the hypotenuse is equal to c.
then the formula is:
c^2 = a^2 + b^2
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assume a = 6 and b = 8
the formula becomes:
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now you take the square root of both sides of the equation to get:
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5 0
4 years ago
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STatiana [176]

Answer:

18.84ft

Step-by-step explanation:

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Irina-Kira [14]

Answer:

m<TSU = 65

Step-by-step explanation:

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Inverse operations,

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Answer:

The bottom right answer.

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