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Probability using normal distribution. According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 15.4 percent, and the standard deviation of the annual return was 24.5 percent. During the same 67 year time span, the mean of the annual return for long-term government bonds was 5.5%, and the standard deviation was 6.0 percent. The article claims that the distributions of annual returns for both common stocks and long-term government bonds are bell-shaped and approximately symmetric. Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously.
1. Find the probability that return for common stocks will be greater than 0 percent.
2. Find the probability that return for common stocks will be less than 20 percent.
At the .05 significance level, is there a difference in the mean number of calls per day between the two employees?
The lifetime of a light bulb is an Exponential RV with a mean of 800 hours. Let L represent the time (in hours) that one randomly selected light bulb will burn. What is the possibility the light bulb burns for more than 1000 hours.
By using 0.05 level of significance, is there any evidence of difference in mean life of bulbs produced by two kinds of machines?Calculate p-value and interpret its meaning.
Make use of Excel to determine the right-tail p-value.
What is the probability that a roulette ball will come to rest on an even number other than 0 and 00?
If the sample consists of n = 15 individuals, then compute df value for the t statistic?
Based on this sample information, create a 90% confidence interval for population mean yearly premium.
The ages of cars owned by all employees of a large company have a bell shaped distribution with a mean of 8 years and a standard deviation of 2 years. Using the empirical rule, find the approx. percentage of cars (owned by those employees) that are b..
Based on these results, the proportion of the variation in 1993 winnings that is explained by the average number of putts per round and driving distance
If he selects the three brands at random, what is the probability that he will select the following?
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F are:
Make a forecast for 2004, using either the fitted trend model or a judgment forecast. Why is it best to ignore earlier years in this data set?
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