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EleoNora [17]
2 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]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

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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2. Which statement about simplifying |-11 - 34 is TRUE?
zalisa [80]

Answer:

B

Step-by-step explanation:

-11-34 the answer will be -45 so option B is the best posible answer.

8 0
1 year ago
A sphere has a diameter of 14 units. what is the volume of the sphere in cubic units ? If a cylinder have the same radius as th
Dimas [21]

Answer:

Therefore, the volume of sphere is 1436.03 cubic units.

Step-by-step explanation:

8 0
3 years ago
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Drake buys a ring that costs $8,000, which depreciates at a rate of 9.5% per year.
Alex73 [517]

Answer:

$1129.93

Step-by-step explanation:

100 - 9.5 = 90.5

8000 - 90.5 = 7909.5

7909.5 ÷ 7 = 1129.93

i hope this helps

4 0
2 years ago
You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for
BartSMP [9]

Answer:

The demabd function is:

q(p)= -4500p+18000

Step-by-step explanation:

The demand follow the linear equation q(p)=mp+b

1. When p=$2.00 and q=9000, the equation is:

9000=m(2.00)+b     (1)

2. Whe p=$4.00 and q=0, the equation is:

0=m(4.00)+b  (2)

3. Solve equation (1) for b:

9000=2m+b\\9000-2m=2m+2m+b\\9000-2m=b

4. Replace the value of b in equation (2)

0=4m+b\\0=4m+9000-2m\\0=2m+9000\\0-9000=2m+9000-9000\\-9000=2m\\\frac{-9000}{2m}=\frac{2m}{2m}\\ -4500=m

The value of m is 4500

5. Calculate b, replacing m:

0=4m+b\\\\0=4(-4500)+b\\0=-18000+b\\18000=b

The value of b is 18000

3 0
3 years ago
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