Condom Failure Rate: According to the Department of Health and Human Services, the failure rate for male condoms is 18%. The accompanying table is based on the failure rate of 18%, where x represents the number of condoms that fail when six are tested.xP(x)00.30410.40020.22030.06440.01150.00160+Does the table describe a probability distribution? Why or Why not? Assuming that the table does describe a probability distribution, find its mean? Assuming that the table does describe a probability distribution, find its standard deviation? If 6 condoms are tested and 5 of them fail, is 5 a significantly high number of failures? Why or Why not? What does the symbol 0+ represent?

Name: Condom Failure Rate: According to the Department of Health and Human S
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Description: Condom Failure Rate: According to the Department of Health and Human Services, the failure rate for male condoms is 18%. The accompanying table is based on the failure rate of 18%, where x represents the number of condoms that fail when six are teste

Determine whether the given table represents a probability distribution or not. Let x denotes the…

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Condom Failure Rate: According to the Department of Health and Human Services, the failure rate for male condoms is 18%. The accompanying table is based on the failure rate of 18%, where x represents the number of condoms that fail when six are tested.

x	P(x)
0	0.304
1	0.400
2	0.220
3	0.064
4	0.011
5	0.001
6	0+

Does the table describe a probability distribution? Why or Why not?

Assuming that the table does describe a probability distribution, find its mean?

Assuming that the table does describe a probability distribution, find its standard deviation?

If 6 condoms are tested and 5 of them fail, is 5 a significantly high number of failures? Why or Why not?

What does the symbol 0+ represent?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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