Exam 5: Continuous Random Variables and Probability Distributions

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For the uniform probability distribution,the mean and standard deviation can be calculated by knowing the maximum and minimum values of the random variable.

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There is not just one normal probability distribution;there is a family of distributions.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The distribution of IQ scores for high school graduates is normally distributed with mean μ = 104 and standard deviation σ = 16. -Find the probability a person chosen at random from this group has an IQ score above 146.00.

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The area under a valid cumulative distribution function is equal to 1.

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Many economic and business measures such as sales,investment,consumption,costs,and revenues can be represented by continuous random variables.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The length of time it takes to be seated at a local restaurant on Friday night is normally distributed with a mean of 15 minutes and a standard deviation of 4.75 minutes. -What is the probability that you have to wait between 13 and 16 minutes to be seated?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Let the random variable Z follow a standard normal distribution. -What is P(Z < 1.23)?

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Suppose that 19% of all sales are for amounts greater than $1,000.In a random sample of 30 invoices,what is the probability that more than six of the invoices are for over $1,000? Use the binomial approximation for the normal distribution.

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Seventy percent of the time,you will be called in before you have to wait how long?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are the webmaster for your firm's web-site.From your records,you know that the probability that a visitor will buy something from your firm is 0.23.In one day,the number of visitors is 952. -What is the probability that at least 210 of them will buy something from your firm? Use the normal approximation to the binomial.

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Let the random variable Z follow a standard normal distribution.Find the value k,such that P(-0.62 < Z < k)= 0.43.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Investment A has an expected return of 8% with a standard deviation of 2.5%.Investment B has an expected return of 6% with a standard deviation of 1.2%.Assume you invest equally in both investments and that the rates of return are independent. -What is the expected return of your portfolio?

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Which of the following is not a continuous distribution?

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Which of the following is not a characteristic for a normal distribution?

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A normal probability plot may be used to assess the assumption of normality for a particular set of data values.

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Investment A has an expected return of 7.8% with a standard deviation of 2%.Investment B has an expected return of 7.2% with a standard deviation of 3.1%.Which stock is more likely to have a return greater than 10%?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The distribution of IQ scores for high school graduates is normally distributed with mean μ = 104 and standard deviation σ = 16. -What is the 95th percentile of this normal distribution?

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The distribution that has been found to be particularly useful for waiting-line or queuing problems is referred to as the:

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The speed of cars passing through a check point follows a normal distribution with a mean of 45 miles per hour and a standard deviation of 6 miles per hour.What is the probability that the next car passing will be exceeding 51 miles per hour?

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Given that Z is a standard normal random variable,a negative value of Z indicates that the standard deviation of z is negative.

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