Question

Consider the following data:

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

P(X=x) | 0.2 | 0.2 | 0.1 | 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≤8). Round your answer to one decimal place.

Step 5 of 5:

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

Answer #1

Solution :

x | P(x) | x * P(x) |
x^{2} * P(x) |

4 | 0.2 | 0.8 | 3.2 |

5 | 0.2 | 1 | 5 |

6 | 0.1 | 0.6 | 3.6 |

7 | 0.2 | 1.4 | 9.8 |

8 | 0.3 | 2.4 | 19.2 |

Sum | 1 | 6.2 | 40.8 |

From given probability distribution,

1)

Mean = = X * P(X)

E(X) = = 6.2

(2)

Variance =
^{2}

=
X ^{2} * P(X) -
^{2}

V(X) = 40.8 - 6.2^{2}

= 2.36

(3)

standard deviation = 1.5

4)

P(X 8) = 1.0

(5)

P(X > 4) = 1 - P(X 4) = 1 - 0.2 = 0.8

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 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
−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
4
5
6
7
8
P(X=x)
0.2
0.2
0.1
0.2
0.3
Step 3 of 5 :
Find the standard deviation. Round your answer to one decimal
place.

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
5
6
7
8
P(X=x)
0.1
0.1
0.2
0.2
0.4
Find the variance. Round your answer to one decimal place.
Find the standard deviation. Round your answer to one decimal
place.
Find the value of P(X<5). Round your answer to one decimal
place.
Find the value of P(X>7). Round your answer to one decimal
place.

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

x 4 5 6 7 8 P(X=x) 0.3 0.2 0.2 0.1 0.2
Step 2 of 5 : Find the variance. Round your answer to one
decimal place. Answer

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.

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)....

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