Question

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: 0.003

4: 0.001

5: 0.000

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

A. Yes, the table shows a probability distribution.

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

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

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

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

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. "mue"= _____male(s) (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. "sigma" = _____ male(s) (Round to one decimal place as
needed.)

B. The table does not show a probability distribution.

Answer #1

Solution :

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

0 | 0.662 | 0 | 0 |

1 | 0.282 | 0.282 | 0.282 |

2 | 0.052 | 0.104 | 0.208 |

3 | 0.003 | 0.009 | 0.027 |

4 | 0.001 | 0.004 | 0.016 |

5 | 0 | 0 | 0 |

Sum | 1 | 0.399 | 0.533 |

A. Yes, the table shows a probability distribution.

Mean =
=
X * P(X) = **0.399 = 0.4**

Standard deviation =

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

= [0.533
- 0.399^{2})

**= 0.6**

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...

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
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When conducting research on color blindness in males, a
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form of color blindness. Determine whether a probability
distribution is given. If a probability distribution is given,
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