The expected value E(X) is 7 and the value of variance of X is 5.8333.
Two dice are rolled. Let X be the random variable measuring the sum of the two numbers rolled.
a) The probability of mass function is obtained below:
The possible outcomes in each of the dice are 1 to 6. Therefore, the possible outcomes when two dice is rolled is 36
The sample space, s for fair dice (red die and blue die) is given below:
N(s) = 36
From the given information, two dice are rolled let X be the random variable measuring the sum of the two numbers rolled.
b) The expected value is calculated below:
The probability mass function of X is,
The required mean is,
E(x) = ∑xP(X=x)
[tex]=[2[/tex]×[tex]\frac{1}{36}+3[/tex]×[tex]\frac{2}{36}[/tex]+....+11×[tex]\frac{2}{36}+12[/tex]×[tex](\frac{1}{36} )[/tex]]
=[0.0556+0.1667+0.3333+0.5556+0.8333+1.1111+1.000+0.8333+0.6111+0.3333
=7
C) The variance V(X) is calculated below:
The probability mass function of X is,
The required variance is,
V(x)= ∑[tex](X-x)^{2}P(x) = 5.8333[/tex]
Therefore, the expected value E(X) is 7 and the value of variance of X is 5.8333.
For such more questions about probability:
https://brainly.com/question/99675
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Victor sells bouquets of flowers at a farmers market. He earns a flat rate for each bouquet sold, shown on the graph below. The table below shows the number of bouquets Victor sold last week. Fill in the table to show how much money Victor earned.
Answer:
Attach the graph so we can help lol
Step-by-step explanation:
The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS.
a. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll
b. Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 90% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.
c. Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.
a. The confidence interval would be the same width but shifted to the left
b. The confidence interval would be the same width but shifted to the right
c. The confidence interval would have the same center but be wider
d. The confidence interval would have the same center but be narrower
Enter a value of b that will make the expression factorable.
x2^ + bx – 40
pls help pls help plsssssss
For the 1st question your just going to
How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many
Answer:
x = 12
Step-by-step explanation:
by direct solution
otherwise this system many solution
Answer:
one
Step-by-step explanation:
4x+8=-4+5x
or, 5x-4x = 8+4
hence,
x=12
Can someone help me with this its preatty easy
Answer:
31,400
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
Lester made a scale drawing of a house. The scale he used was 1 inch : 2 feet. In the drawing, the hall closet is 3 inches long. What is the length of the actual closet?
Answer: 6 feet
Step-by-step explanation:
1 inch= 2 feet
so
3 inches = 6 feet
ratio
Answer: 6
Step-by-step explanation:
A garden is in the shape of a circle with a radius of 10 feet. Edging is place around the garden. How much edging, in feet, is needed to
go around the garden? Round your answer to the nearest whole number. Use 3. 14 for TT.
please!! I need it right jnow
Answer:
62.8 ft (of edging)
Step-by-step explanation:
We need to find the circumference of this circle, using C = 2(pi)r.
Here, C = 2(3.14)(10 ft) = 62.8 ft (of edging)
Answer:
63 feet is needed to go around the garden.
-2x + y=-15. y=5x solved by substitution
Answer:
−
2
+
=
−
1
5
=
5
Step-by-step explanation:
5x= answer
Anyone can help please?
1600, 400, 100, 25, ...
O Arithmetic
O Geometric
O Neither
Find the mean of the set of data.
3, 3, 8, 3, 8, 3, 8, 8, 1,3
The mean is ?? HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
8
Step-by-step explanation:
48 because your adding them all up
HELP PLEASE! MATHHHHGGKSNSJSJ
Answer:
192y16
Step-by-step explanation:
mark me brainlist
Pls help I’ll mark brainliest
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Which statement must be correct?
A.
B.
C.
D.
Answer:
A suits the most
Step-by-step explanation:
Answer:
D. RS intersects PQ at point R
Step-by-step explanation:
COMMON CORE REVIEW
1. Find the percent of change from 32 feet to 79 feet. Round to the nearest tenth, if necessary. Then state whether the percent of change is percent of increase or percent of decrease.
2. Factor this expression: 27+108n
3. Factor this expression: 56x + 16
THANKS AGAIN!!
Answer:
146.9
Step-by-step explanation:
I'm not sure of the answer but if I'm wrong tell me I'll continue trying it is a pleasure to help you.
Find the absolute maximum of (x^2-1)^3 in the interval [-1,2]
Let f(x) = (x ² - 1)³. Find the critical points of f in the interval [-1, 2]:
f '(x) = 3 (x ² - 1)² (2x) = 6x (x ² - 1)² = 0
6x = 0 or (x ² - 1)² = 0
x = 0 or x ² = 1
x = 0 or x = 1 or x = -1
Check the value of f at each of these critical points, as well as the endpoints of the given domain:
f (-1) = 0
f (0) = -1
f (1) = 0
f (2) = 27
So max{f(x) | -1 ≤ x ≤ 2} = 27.
whats the square footage of 10 by 10
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work.
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?
Answer:2.2%
Step-by-step explanation:
Whats 2x36 PLEASE HELP ILL GIVE BRAINLYEST
Answer:
It is 72
Step-by-step explanation:
Hope it helps
Answer:
72
Step-by-step explanation:
It was very easy question.
PLEASE HELP
What is the domain of a quadratic functions that opens up or down?
A new car costs $28,000. It is expected to depreciate at an average rate of 8% per year.
Find the value of the car in 8 years.
Answer:
35
Step-by-step explanation:
in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current
9514 1404 393
Answer:
kayak: 12 mphcurrent: 2 mphStep-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
Additional comment
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
Find the area of each figure. A = _ in²
Answer:
1824in^2
Step-by-step explanation:
area of rectangle:
L x W = A
32 x 48 = 1539
area of triangle:
(L x W) / 2 = A
(48 x 12) / 2 = 288
add:
1539 + 288 = 1824in ^2
The price of an item has risen to $184 today. Yesterday it was $80. Find the percentage increase.
Which of the following sequences of transformations maps KLMN onto ABCD
Answer:
The answer is neither.
Step-by-step explanation:
Just did the test on Khan.
⊕║Using Sampling to Predict Lesson 10-5║ ⊕
To determine how many students at a middle school bring their lunch from home, all the students on one school bus are surveyed. identify if this is BIASED OR UNBIASED. Explain your reasoning!!
Can someone please help me is the last one☝ that k need