The probability that data are entered incorrectly into a field in a database is 0.005. A data entry form has 28 fields, and errors occur independently for each field. The random variable X is the number of fields on the form with an error. Does X have a discrete uniform distribution? Why or why not? Select the correct answer and explanation. O No. The range of X is {0, 1, 2, ..., 28} so X is a discrete random variable, but not uniform. For example, P(X = 0) = 0.99528 is not equal to 1/29.
The probability that data are entered incorrectly into a field in a database is 0.005. A data entry form has 28 fields, and errors occur independently for each field. The random variable X is the number of fields on the form with an error. Does X have a discrete uniform distribution? Why or why not? Select the correct answer and explanation. O No. The range of X is {0, 1, 2, ..., 28} so X is a discrete random variable, but not uniform. For example, P(X = 0) = 0.99528 is not equal to 1/29.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:The probability that data are entered incorrectly into a field in a database is 0.005. A data entry form has 28 fields, and errors occur
independently for each field. The random variable X is the number of fields on the form with an error. Does X have a discrete uniform
distribution? Why or why not? Select the correct answer and explanation.
O No. The range of X is {0, 1, 2, ..., 28} so X is a discrete random variable, but not uniform. For example, P(X = 0) = 0.99528
is not equal to 1/29.
O No. Because the situation, where each field on the form contain data entered with error is impossible.
O Yes. X is a discrete and uniform random variable, because X may take each value in {0, 1, 2, ..., 28).
Yes. The range of X is {0, 1, 2, ..., 28} so X is a discrete and uniform random variable. For any X within the range
P(X) = 1/29.
Yes. The range of X is {0, 1, 2, ..., 28} so X is a discrete and uniform random variable, because the probability that data are
entered incorrectly is same for each field.
Expert Solution
Step 1
Hint: Uniform distribution has equal probability all over the given interval. Obtain the probability of two events and check whether they are equal or not.
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