1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
HELP!! 15 POINTS
Sladkaya [172]
<span>1. For the data in the table, does y vary directly with X? If it does write an equation for the direct variation.(X,y) (8,11) (16,22) (24,33) 
</span><span>
Yes y=1.375x 

</span><span>2.for the data in the table, does y vary directly with X? If it does write an equation for the direct variation. (X,y) (16,4) (32,16) (48,36) 
</span>No y does not very directly with x*** <span> 

</span><span>3. (Time/hour,distance/miles)(4,233) (6,348) (8,464) (10, 580) 
Express the relationship between distance and time in a simplified form as a unit rate. Determine which statement correctly interprets this relationship. 
</span><span>58/1 your car travels 58 miles in 1 hour 

</span><span>4.what is the slope of the line that passes through the pair of points (2,5) and (8,3) 

</span>-1/3 

<span>4.what is the slope of the line that passes through the pair of points (-5.2,8.7) and (-3.2,2.7) 
</span>
-3 

<span>5. What is the slope of the line that passes through the pair of points (3/2,-2) and (-3,7/3) 

-26/27 

</span><span>6.write an equation in point slope from for the line through the given point with the given slope (5,2) m=3 
 
Y-2=3(X-5) 


7. Write an equation in point slope form for the line through the given point with the given slope (-3,-5) m=-2/5 

Y+5=-2/5(X+3) 

</span><span>8. Write an equation in point slope from for the line through the given point with the given slope. (4,-7) m=-0.54 

Y+7=-0.54(x-4) 

9. The table shows the height of a plant as it grows. Which equation in point slope from gives the plants height (time,plant height) (2,16)(4,32)(6,48)(8,64) 

Y-16=8(X-2)*** 
</span>
<span>10. Write y=-2/3x+7 in standard form

2x+3y=21 



11. Write y=-1/2x+1 in standard form using integers 

X+2y=2 

</span>
3 0
3 years ago
Read 2 more answers
What is the right answer I do t know it
sweet-ann [11.9K]

Answer:

the answer to what?

Step-by-step explanation:

3 0
3 years ago
Which scatterplot is it lol
VMariaS [17]

Answer:

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point

4 0
3 years ago
6(x-8)+10=5x-6<br> This question has how many solutions
alina1380 [7]

Answer:

x=32 so one solution only

Step-by-step explanation:

6(x-8)+10=5x-6

6x-48+10=5x-6

6x-38=5x-6

x-38=-6

x=32

Therefore, the equation only has one solution which is x=32

4 0
2 years ago
Read 2 more answers
A sporting goods store displays the following sale sign. What percent off is the sale
victus00 [196]

Answer:

The sale is 5% off.

Step-by-step explanation:

  • $25 regular price.
  • $18.75 sale price.

You need to find the percentage that deducts $1.25 from the regular price. I start with 5% and work my way up from there until I find the answer.

So, <em>5</em><em>%</em><em> </em><em>of </em><em>2</em><em>5</em><em> </em><em>=</em><em> </em><em>?</em>

5% * 25 = 1.25

You needed $1.25, 5% gives you that.

Therefore, the answer is 5%.

8 0
3 years ago
Other questions:
  • PLEASE HELP ASAP, Thank you :)
    12·1 answer
  • Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoon of salt. Nick wants to make the recipe using
    7·1 answer
  • What is the measure of the vertex angle of an isosceles triangle if one of the base angles measures 58°? a. 116° b. 64° c. 61° d
    9·1 answer
  • Help me on this math question
    5·2 answers
  • 2. The welght, In pounds, of a baby In the first sis, onths of life can be modeled by
    11·1 answer
  • Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de
    7·1 answer
  • If a rat grows 1.5 inches a year, how many years will it take the rat to grow to 12.3 inches?
    5·2 answers
  • Write the rule for the translation shown below.
    6·1 answer
  • pls help me pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls pls
    6·1 answer
  • F(x) = -x² + 4x - 1 find the value of f(x) if x = 0
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!