Question

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.

Answer #1

Solution:

For variance, first, we will calculate the mean of the distribution
as follows

Mean =
xi*P(xi) = 5*0.3 + 6*0.1 + 7*0.1 + 8*0.3 + 9*0.2 =
1.5+0.6+0.7+2.4+1.8 = 7

X | P(X) | X*P(X) |

5 | 0.3 | 1.5 |

6 | 0.1 | 0.6 |

7 | 0.1 | 0.7 |

8 | 0.3 | 2.4 |

9 | 0.2 | 1.8 |

The variance of the distribution is given as follows:

Variance =
(Xi-mean)^2 * P(Xi) = (5-7)^2*0.3 + (6-7)^2*0.1 + (7-7)^2*0.1 +
(8-7)^2*0.3 + (9-7)^2*0.2 = 1.2+0.1+0+0.3+0.8 = 2.4

Variance = 2.4

X | P(X) | X*P(X) | Xi-mean | (Xi-mean)^2 | (Xi-mean)^2 *P(Xi) |

5 | 0.3 | 1.5 | -2 | 4 | 1.2 |

6 | 0.1 | 0.6 | -1 | 1 | 0.1 |

7 | 0.1 | 0.7 | 0 | 0 | 0 |

8 | 0.3 | 2.4 | 1 | 1 | 0.3 |

9 | 0.2 | 1.8 | 2 | 4 | 0.8 |

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...

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.

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)....

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.

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
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.

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