Question: [10 Marks]

1. Thirty-three students were asked to rate themselves on whether they were outgoing or not using this five point scale: 1 = extremely extroverted, 2 = extroverted, 3 = neither extroverted nor introverted, 4 = introverted, or 5 = extremely introverted. The results are shown in the table below:

1. Compute the mean
2. Compute the standard deviation.
3. Compute the median.
4. Compute the mode.
5. Compute the coefficient of variation.

(b) The quality of computer disks is measured by sending the disks through a certifier which counts the number of missing pulses. A certain brand of computer disks averages 0.1 missing pulse per disk. Let the random variable x denote the number of missing pulses.

1. What is the distribution of x? What is the mean of x? What is the variance of x?
2. Find the probability the next inspected disk will have no missing pulse.
3. Find the probability the next disk inspected will have more than one missing pulse.
   
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