Question

Consider the following data:

x | 44 | 55 | 66 | 77 | 88 |
---|---|---|---|---|---|

P(X=x) | 0.20. | 0.10 | 0.30. | 0.20. | 0.20. |

Copy Data

Step 1 of 5:

Find the expected value E(X). Round your answer to one decimal place.

Step 2 of 5: Find the variance

Step 3 of 5: Find the standard deviation

Step 4 of 5: Find the value of P(X>5). Round your answer to one decimal place.

Step 5 of 5:

Step 5 of 5: Find the value of P(X<6). Round your answer to one decimal place.

Answer #1

We need to find P(X>5) and P(X<6) so assuming x takes values as 4,5,6,7,8 and not 44,55,66,77,88

x | 4 | 5 | 6 | 7 | 8 |
---|---|---|---|---|---|

P(X=x) | 0.20. | 0.10 | 0.30. | 0.20. |
0.20. |

1) E(X) = sum(p(x)*x)

= 0.20*4 + 0.10*5 + 0.30*6 + 0.20*7 + 0.20*8

= 6.1

2) Variance = E(X^2) - (E(X))^2

= (0.20*4^2 + 0.10*5^2 + 0.30*6^2 + 0.20*7^2 + 0.20*8^2) - (6.1)^2

= 1.89

3)

Standard deviation = sqrt(Variance)

= sqrt(1.89) = 1.37

4)

P(X > 5) = P(X = 6) + P(X =7) + P(X=8)

= 0.3 + 0.2 + 0.2

= 0.7

6) P(X < 6) = P(X=4) + P(X=5)

= 0.2 + 0.1

= 0.3

Consider the following data:
x
66
77
88
99
1010
P(X=x)P(X=x)
0.10.1
0.20.2
0.30.3
0.20.2
0.20.2
Copy Data
Step 4 of 5:
Find the value of P(X≤8)P(X≤8). Round your answer to one decimal
place.

Consider the following data:
x
−7
−6
−5
−4
−3
P(X=x)
0.2
0.1
0.2
0.2
0.3
Copy Data
Step 1 of 5:
Find the expected value E(X). Round your answer to one decimal
place.
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>−5). Round your answer to one decimal
place.
Step...

Consider the following data:
x
3
4
5
6
7
P(X=x)P(X=x)
0.2
.1
.2
.2
0.3
Copy Data
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>6)P(X>6). Round your answer to one
decimal place.
Step 5 of 5:
Find the value of P(X≤5)P(X≤5). Round your answer to one decimal
place.

7. Consider the following data:
x 6 7 8 9 10
P( X = x ) 0.3 0.1 0.2 0.1 0.3
Step 1 of 5: Find the expected value E(X) E ( X ) . Round your
answer to one decimal place.
Step 2 of 5: Find the variance. Round your answer to one decimal
place.
Step 3 of 5: Find the standard deviation. Round your answer to
one decimal place.
Step 4 of 5: Find the value of P(X<9)P(X<9)....

Consider the following data:
x 4 5 6 7 8
P(X=x) 0.1 0.2 0.2 0.3 0.2
Step 1 of 5: Find the expected value E(X). Round your answer to
one decimal place.
Step 2 of 5: Find the variance. Round your answer to one decimal
place.
Step 3 of 5: Find the standard deviation. Round your answer to
one decimal place.
Step 4 of 5: Find the value of P(X>4). Round your answer to
one decimal place.
Step 5 of...

Consider the following data:
x
4
5
6
7
8
P(X=x)
0.3
0.2
0.1
0.1
0.3
Step 1 of 5 :
Find the expected value E(X). Round your answer to one decimal
place.
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>4). Round your answer to one decimal
place.
Step 5...

Consider the following
data:
x
5
6
7
8
9
P(X=x)P(X=x)
0.30.3
0.1
0.1
0.3
0.2
Copy Data
Step 2 of 5 :
Find the variance.
Round your answer to one decimal place.

Consider the following data:
x
−4
−3
−2
−1
0
P(X=x)P(X=x)
0.3
0.1
0.1
0.2
0.3
Copy Data
Step 2 of 5 :
Find the variance. Round your answer to one decimal place.

Consider the following random discrete distribution.
x
x(P)
24
0.25
30
0.15
49
0.30
58
0.10
60
0.20
Calculate the mean or the expected value of X
Calculate the variance and the standard deviation of the random
variable

Consider the following two sample data sets.
Set 1:
99
22
77
55
88
Set 2:
66
1313
1818
77
22
a. Calculate the coefficient of variation for each data set.
b. Which data set has more variability?
a. The coefficient of variation for set 1 is
nothing%.
(Round to one decimal place as needed.)
The coefficient of variation for set 2 is
nothing%.
(Round to one decimal place as needed.)
b. Which data set has more variability? Choose the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 20 minutes ago

asked 32 minutes ago

asked 33 minutes ago

asked 45 minutes ago

asked 52 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago