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MGSC 291 Final EXAM ALL 250 QUESTIONS AND VERIFIED SOLUTIONS LATEST UPDATE THIS YEAR

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2025/2026
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MGSC 291 Final EXAM ALL 250 QUESTIONS
AND VERIFIED SOLUTIONS LATEST UPDATE
THIS YEAR



MGSC 291


QUESTION: For a continuous random variable x, how many distinct values can it assume over an

interval?


Infinite


Countably infinite


finite


countably finite - ANSWER-Infinite




QUESTION: All of the following are characteristics of the normal distribution except:


It is completely described by 2 parameters


It is a discrete distribution


It's symmetric around it's mean




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It's asymptotic - ANSWER-It's a discrete distribution (the normal distribution is a continuous

distribution)




Q; Which of the following can be represented by a discrete random variable?


The circumference of a randomly generated circle


The time of a flight between Chicago and New York


The number of defective light bulbs in a sample of five


The average distance achieved in a series of long jumps - ANSWER-The number of defective

light bulbs in a sample of five




QUESTION: A continuous random variable has the uniform distribution on the interval a, b if it's

probability density function is - ANSWER-Constant for all x between a and b, and 0 otherwise




QUESTION: Which of the following random variables is depicted with a bell shaped curve?


Normal random variable




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, Page 3 of 54


Binomial random variable


Exponential random variable


Uniform random variable - ANSWER-Normal random variable




QUESTION: The total area under the normal curve is - ANSWER-Equal to 1




QUESTION: Due to symmetry the probability that the standard normal random variable Z is less

than 0 is equal to - ANSWER-0.5




QUESTION: For a continuous random variable X, the number of possible values - ANSWER-

Cannot be counted




QUESTION: How many parameters are needed to fully describe any normal distribution -

ANSWER-2




QUESTION: T or F the expected value and the variance of the standard normal random variable

Z are both zero - ANSWER-False (the expected value of Z is zero, but the variance is 1)


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, Page 4 of 54




QUESTION: The probability that a discrete random variable X assumes a particular value x is -

ANSWER-Between zero and one




QUESTION: The probability distribution of a continuous random variable is called its - ANSWER-

Probability density function




QUESTION: The z table provides the cumulative probabilities for a given z. What does

cumulative probabilities mean? - ANSWER-The probability that Z is less than or equal to a given

z value




QUESTION: T or F the distinct values of both a continuous random variable and a discrete

random variable can be counted - ANSWER-False ( a continuous random variable assumes an

infinite number of values over an interval.)




QUESTION: For a continuous random variable X it is only meaningful to calculate the probability

that the value of the random variable - ANSWER-Falls within some specified interval




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