Question
Q1. Find the mean, variance, and standard deviation of the random variable having the probability distribution given in the following table. (Round your answers to
Q1. Find the mean, variance, and standard deviation of the random variable having the probability distribution given in the following table. (Round your answers to four decimal places.)
Random variable, x | -9 | -8 | -7 | -6 | -5 |
P(X = x) | 0.14 | 0.16 | 0.38 | 0.12 | 0.2 |
mean = ?
variance = ?
standard deviation = ?
Q2. A probability distribution has a mean of 40 and a standard deviation of 2. Use Chebyshev's inequality to find the minimum probability that an outcome is between 35 and 45.
(Round your answer to four decimal places.)
Q3. During a 5-week period in 2007, the stock of an insurance company and the stock of a small tech company showed the following weekly percentage changes.
Company | Weekly Price Change (%) | ||||
Insurance Stock | 1.3 | 0.3 | 0.5 | -0.9 | 0.7 |
Tech Stock | 5 | -0.4 | -0.2 | -2.7 | -1.5 |
Find the variance of the weekly price changes of each. (Round your answers to four decimal places.)
Part A.
Insurance stock = ?
Tech Stock = ?
Part B
Relate the two variances found to the riskiness of the two stocks. ( which options below )
- No statement about the riskiness of these stocks can be made.
- The tech stock is riskier.
- The two stocks have the same riskiness.
- The insurance stock is riskier.
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