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# 2 - x< 1 1 1 ≤ x< 2 6 2 ≤ x< 3 8 3 ≤ x< 4 1 4...

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STATISTICS 401.3 QUIZ # 2 Fall 2005 NAME: ID: —————————- 1 The following 20 numbers are the measurement of the volumes in cm 3 of 20 cylinders randomly selected from a manufacturing line. Note that the numbers have been sorted. 3.07 3.75 4.10 4.26 4.29 4.31 4.33 4.34 4.36 4.44 4.49 4.50 4.53 4.55 4.56 4.60 4.61 4.62 4.65 4.79 1. (2 points) Make a stem and leaf diagram and discuss the shape of the distribution of these volumes. [Use only the last digit as leaf.] 2. (2 points) Find the 25th, 50th and 75th percentiles for these data. 3. (2 points) Construct a box plot. 4. (2 points) Are there any mild or extreme outliers? 2 Let X denote the daily sales for a computer manufacturing ﬁrm. The cumulative distribution function of the random variable X is F ( x ) =

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Unformatted text preview: x < 1 . 1 1 ≤ x < 2 . 6 2 ≤ x < 3 . 8 3 ≤ x < 4 1 4 ≤ x 1 1. (2 points) Write down the probability mass function of X . 2. (2 points) Calculate the expected value and variance of X . 3. (2 points) Suppose the ﬁrm makes an average of \$900 per sale. Thus Y = 900 × X is the expected revenue per day in dollars. Find the mean value and variance of Y . 3 Let X denote the resistance of a randomly chosen resistor, and suppose that its pdf is given by f ( x ) = ‰ kx if 5 ≤ x ≤ 8 otherwise 1. (2 points) Find k . 2. (2 points) Find the mean value and variance of X . 3. (2 points) Give a formula for the cdf of X . 4. (2 points) Find the 25th percentile of X . 2...
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2 - x< 1 1 1 ≤ x< 2 6 2 ≤ x< 3 8 3 ≤ x< 4 1 4...

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