For each of the following exercises, determine if the random variable has a disc

Question

For each of the following exercises, determine if the random variable has a discrete uniform, binomial or none of these distributions. For the variables with discrete uniform or binomial, report the value(s) of parameter(s).

a) There is a 2% chance to select a machined part that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected.

b) Defects occur randomly over the surface of a semiconductor chip. However, only 80% of defects can be found by testing. A sample of 40 chips is tested. Let the random variable is the number of chips in which the test finds a defect.

c) The random variable is the moisture content of a lot of raw material.

d) The first digit of a part’s serial number is equally likely to be any one of the digits 0 through 9. One part is selected from a large batch and X is the first digit of the serial number.

Explanation / Answer

a) There is a 2% chance to select a machined part that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected. Binomial

b) Defects occur randomly over the surface of a semiconductor chip. However, only 80% of defects can be found by testing. A sample of 40 chips is tested. Let the random variable is the number of chips in which the test finds a defect. Binomial

c) The random variable is the moisture content of a lot of raw material. Discrete Uniform

d) The first digit of a part’s serial number is equally likely to be any one of the digits 0 through 9. One part is selected from a large batch and X is the first digit of the serial number. None of these distributions

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