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lawyer [7]
3 years ago
6

The following table shows the probability distribution for a discrete random variable. X 11 14 16 19 21 23 24 29 P(X) 0.07 0.21

0.17 0.25 0.05 0.04 0.13 0.08 The mean of the discrete random variable X is 18.59. What is the variance of X? Round your answer to the nearest hundredth.
Mathematics
2 answers:
12345 [234]3 years ago
7 0

Answer:

he's right...it's 23.18 for apex <3 <3

Step-by-step explanation:

vladimir1956 [14]3 years ago
5 0
Because the random variable X is discrete, the variance of X is defined as
var(X) = 
var(X)= \Sigma\limits^{n}_{i=1}\, { p_{i} ( x_{i}- \mu)^{2}} \, dx
where
p =  values of probability as given in the table.
μ = 18.59

Calculate the array (x - μ).
x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]
Calculate the array (x-μ)².
(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]
Calculate the array p*(x-μ)².
p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]
Calculate the variance of X.
var(X) = 23.182

Answer: 23.18 (nearest hundredth)
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Pip was thinking of a number. Pip doubles it and gets the answer of 50.8. What was the original number?​
DerKrebs [107]

Answer:

25.4

Step-by-step explanation:

If double of the number 'x' is 50.8, (2x=50.8)

Then the original number must be half of that value, (x=50.8/2)

50.8/2 = 25.4

8 0
2 years ago
How many triangles can be constructed with angles measuring 50,90,40
inn [45]
Only two triangles:
The 90* angle is stable, so you can change only the position of the 50* and 40* angles.
1 triangle: 40* is right to the 90*
2 triangle: 40* is left to the 90*

Hope this helped you!
5 0
3 years ago
The formula c = 5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of
yarga [219]
Given:
c = cost
p = people
Spent $300

Formula: c=5p+215

Solving for how many people (p)

C=5P+215
(300)=5P+215               (Subtract 215 on both sides)
85=5P                           (Divide by 5 on both sides)
17=P

The answer is 17. 17 people can afford to host a birthday party.
3 0
2 years ago
What additional information can be used to prove
Fofino [41]
A. You would be able to prove it by SSS. One side is already said to be congruent and the other is shared by both.
8 0
2 years ago
15 (x – 1) + 4 ( x + 3 ) = 2 ( x + 9) + 4
Rudiy27

Answer:

x=1.47

Step-by-step explanation:

15(x-1)+4(x+3)=2(x+9)+4

15x-15+4x+12=2x+18+4

19x-3=2x+22

17x=25

x=25/17

x=1.47

3 0
3 years ago
Read 2 more answers
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