Question

1. Use the given values of n and p to find the minimum usual value

muμminus−2sigmaσ

and the maximum usual value

muμplus+2sigmaσ.

Round to the nearest hundredth unless otherwise noted.

nequals=10141014;

pequals=0.860.86

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. |
x |
P(x) |
|||
---|---|---|---|---|---|

0 |
0.0350.035 |
||||

1 |
0.1510.151 |
||||

2 |
0.3140.314 |
||||

3 |
0.3140.314 |
||||

4 |
0.1510.151 |
||||

5 |
0.0350.035 |

Does the table show a probability distribution? Select all that apply.

A.

Yes, the table shows a probability distribution.

B.

No, the random variable x is categorical instead of numerical.

C.

No, the random variable x's number values are not associated with probabilities.

D.

No, the sum of all the probabilities is not equal to 1.

E.

No, not every probability is between 0 and 1 inclusive.

Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

muμequals=nothing

child(ren) (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

sigmaσequals=nothing

child(ren) (Round to one decimal place as needed.)

B.

The table does not show a probability distribution.

Click to select and enter your answer(s).

Answer #1

A. Yes, the table shows a probability distribution.

x | P(X=x) | xP(x) |
x^{2}P(x) |

0 | 0.035 | 0.00000 | 0.00000 |

1 | 0.151 | 0.15100 | 0.15100 |

2 | 0.314 | 0.62800 | 1.25600 |

3 | 0.314 | 0.94200 | 2.82600 |

4 | 0.151 | 0.60400 | 2.41600 |

5 | 0.035 | 0.17500 | 0.87500 |

total | 2.5000 | 7.5240 | |

E(x) =μ= | ΣxP(x) = | 2.5000 | |

E(x^{2}) = |
Σx^{2}P(x) = |
7.5240 | |

Var(x)=σ^{2} = |
E(x^{2})-(E(x))^{2}= |
1.274000 | |

std deviation= |
σ= √σ^{2} = |
1.12872 |

from above:

**mean μ=2.5**

**σ= 1.11**

Five males with an X-linked genetic disorder have one child
each. The random variable x is the number of children among the
five who inherit the X-linked genetic disorder. Determine whether
a probability distribution is given. If a probability distribution
is given, find its mean and standard deviation. If a probability
distribution is not given, identify the requirements that are not
satisfied.
x
P(x)
0
0.0290.029
1
0.1490.149
2
0.3220.322
3
0.3220.322
4
0.1490.149
5
0.0290.029
Does the table show...

Five males with an X-linked genetic disorder have one child
each. The random variable x is the number of children among the
five who inherit the X-linked genetic disorder. Determine whether
a probability distribution is given. If a probability distribution
is given, find its mean and standard deviation. If a probability
distribution is not given, identify the requirements that are not
satisfied.
x P(x)
0 0.028
1 0.153
2 0.319
3 0.319
4 0.153
5 0.028
Does the table show...

Five males with a particular genetic disorder have one child
each. The random variable x is the number of children among the
five who inherit the genetic disorder. Determine whether the table
describes a probability distribution. If it does, find the mean
and standard deviation.
x
0
1
2
3
4
5
P(x)
0.01160.0116
0.08340.0834
0.23990.2399
0.34520.3452
0.24840.2484
0.07150.0715
Find the mean of the random variable x. Select the correct
choice below and, if necessary, fill in the answer box...

Five males with a particular genetic disorder have one child
each. The random variable x is the number of children among the
five who inherit the genetic disorder. Determine whether the table
describes a probability distribution. If it does, find the mean
and standard deviation.
x
0
1
2
3
4
5
P(x)
0.00020.0002
0.00530.0053
0.04500.0450
0.19190.1919
0.40890.4089
0.34870.3487
Find the mean of the random variable x. Select the correct
choice below and, if necessary, fill in the answer box...

A sociologist randomly selects single adults for different
groups of three, and the random variable x is the number in the
group who say that the most fun way to flirt is in person.
Determine whether a probability distribution is given. If a
probability distribution is given, find its mean and standard
deviation. If a probability distribution is not given, identify
the requirements that are not satisfied.
x
P(x)
0
0.0940.094
1
0.3370.337
2
0.4030.403
3
0.1660.166
Does the table...

Groups of adults are randomly selected and arranged in groups of
three. The random variable x is the number in the group who say
that they would feel comfortable in a self-driving vehicle.
Determine whether a probability distribution is given. If a
probability distribution is given, find its mean and standard
deviation. If a probability distribution is not given, identify
the requirements that are not satisfied
x
P(x)
0
0.351
1
0.427
2
0.200
3
0.022
Does the table...

Five males with an X-linked genetic disorder have one child
each. The random variable x is the number of children among the
five who inherit the X-linked genetic disorder. Determine whether
a probability distribution is given. If a probability distribution
is given, find its mean and standard deviation. If a probability
distribution is not given, identify the requirements that are not
satisfied.
x
P(x)
0
0.035
1
0.157
2
0.308
3
0.308
4
0.157
5
0.035
Does the table show...

When conducting research on color blindness in males, a
researcher forms random groups with five males in each group. The
random variable x is the number of males in the group who have a
form of color blindness. Determine whether a probability
distribution is given. If a probability distribution is given,
find its mean and standard deviation. If a probability distribution
is not given, identify the requirements that are not
satisfied.
x P(x) 0 0.662
1: 0.282
2: 0.052
3:...

When conducting research on color blindness in males, a
researcher forms random groups with five males in each group. The
random variable x is the number of males in the group who have a
form of color blindness. Determine whether a probability
distribution is given. If a probability distribution is given,
find its mean and standard deviation. If a probability distribution
is not given, identify the requirements that are not
satisfied.
X |P(x)
0 | 0.662
1 | 0.286
2...

Groups of adults are randomly selected and arranged in groups of
three. The random variable x is the number in the group who say
that they would feel comfortable in a self-driving vehicle.
Determine whether a probability distribution is given. If a
probability distribution is given, find its mean and standard
deviation. If a probability distribution is not given, identify
the requirements that are not satisfied.
x P(x)
0 0.352
1 0.445
2 0.179
3 0.024
Does the table show...

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