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
dimulka [17.4K]
3 years ago
7

Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the

number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes ((1,2), (1,3), (2,3)) (disregarding order). Let X be the sum of the two balls selected. (a) What is the distribution for X? (b) What is the probability that the sum is at least 4? (c) What is the mean of X?
Mathematics
1 answer:
quester [9]3 years ago
8 0

Step-by-step explanation:

a) X is a discrete uniform distribution. As the number of outcomes is only 3.

b) sum is at least 4

X ≥ 4

i.e  (1,3) or (2,3)

probability of X ≥ 4 is 2/3

2/3= 0.667

66.7 % is the probability of the outcome to have  a sum at least 4.

c) The 3 likely outcome of X

<em>(1,2) where X ; </em> 1+2=3

<em>(1,3) where X ;</em> 1+3=4

<em>(2,3) where X ;</em>  2+3=5

Mean = 3+4+5/ 3

Mean = 4

Feel free to ask any uncleared step

You might be interested in
Plz help meh......plz
ivann1987 [24]

Answer:

62

Step-by-step explanation:

because of vertical angles, then corresponding angles it is congruent to the 62 angle

5 0
3 years ago
Read 2 more answers
Which of the following describes the graph of 2x + 4y &lt; 16?
SSSSS [86.1K]

Answer:

dashes line shaded below

Step-by-step explanation:

hope this helps

4 0
3 years ago
Read 2 more answers
Please help me I need to answer in five minutes
zheka24 [161]
C, GHI because it is over 180 degrees and no triangle is over 180 degrees
3 0
3 years ago
Simplify the given expression. (p+6)(p-4)
vampirchik [111]

Answer:p2+2p−24

Step-by-step explanation:(p+6)(p−4)

=(p+6)(p+−4)

=(p)(p)+(p)(−4)+(6)(p)+(6)(−4)

=p2−4p+6p−24

=p2+2p−24

8 0
3 years ago
Read 2 more answers
A student union cafeteria worker checked the weight of ten half-pound bags of whole bean coffee and recorded the following weigh
Likurg_2 [28]

Answer: σ = 0.0154

Step-by-step explanation:

1. Calculate the mean for the recorded data.

(0.48 + 0.51 + 0.47 + 0.49 + 0.49 + 0.50 + 0.52 + 0.48 + 0.49 + 0.51)/10 =

4.94 / 10 = 0.49

The mean is represented with the greek letter μ, so μ = 0.49

2. For each element in the serie, subtract the mean (0.49) and square the result

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

(0.47 - 0.49)^2 = (-0.02)^2 = 0.0004

(0.49 - 0.49)^2 = 0

(0.49 - 0.49)^2 = 0

(0.50 - 0.49)^2 = (0.01)^2 = 0.0001

(0.52 - 0.49)^2 = (0.03)^2 = 0.0009

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.49 - 0.49)^2 = 0

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

So we get these results: 0.0001, 0.0004, 0.0004, 0, 0, 0.0001, 0.0009, 0.0001, 0, 0.0004

3. Now, we calculate the mean of these squared differences

(0.0001 + 0.0004 + 0.0004 + 0 + 0 + 0.0001 + 0.0009 + 0.0001 + 0 + 0.0004) / 10 =

(0.0024) / 10 = 0.00024

4. Now to get the standard deviation, we need to get the root of this last value (0.00024).

√(0.00024) = 0.0154

5. So that will be our standard deviation value:

σ = 0.0154

DONE!

7 0
3 years ago
Other questions:
  • Prove that n^2 &gt; 2n + 1 for all natural numbers n &gt;= 3
    12·1 answer
  • Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her
    7·2 answers
  • A circle has a diameter of 14cm Work out the circumference of this circle. Give your answer in terms of 3.14 and state it's unit
    8·1 answer
  • The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coeffic
    11·1 answer
  • 15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),
    13·1 answer
  • Suppose you cut a small square from a square of fabric as shown in the diagram. Write
    5·1 answer
  • Annie was told that her math test score was 3 standard deviations below the mean. If test scores were approximately normal with
    7·1 answer
  • 6x-y≥-10 help me please find it
    13·1 answer
  • Solve this equation using elimination distribution or substitutionX^2=11x-10
    10·1 answer
  • 50 POINTS, I NEED IT QUICK PLSS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!