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1. Construction company A+A is responsible for a stretch of road 3 miles long. The distance at which any defects occurs can be represented by a uniformly distributed random variables, with probability density function, f(x)=0.3. Find the cumulative distribution function and the probability that any given defects occur between 1.5 miles and 2.5 miles along the stretch of road?
2. A client has an investment portfolio with mean value is equal to 4500 USD, with a standard deviation of 300 USD. What is the probability that the value of her portfolio is between 3900 USD AND 5400 USD?
Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
The frequency distribution below shows the distribution for suspended solid concentration (in PPM) in river water of 50 different waters collected in September 2011.
Calculated test statistic, decision about the null hypothesis interpretation of results, and a list of references consulted.
A random sample of 400 college students was selected and 120 of them had at least one motor vehicle accident in the previous two years.
One advantage of the repeated measures ANOVA is that it eliminates "individual differences" as a source of variability. Explain why there are no individual differences in the numerator and in the denominator of the F ratio.
Test whether there is significant difference in the test anxiety level of the three groups using nonparametric test.
Formulate and solve a 0-1 integer linear program model that can be used to find the minimum number of locations necessary to provide coverage to all areas. Clearly indicate your linear program model.
A financial planner wants to compare the yield of income and growth mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income and 40 growth funds
The demand, D, on any given day is uniformly distributed over [80,140]. How many units should the retailer order to maximize expected profit?
A run chart is developed that confirms process stability. The level of significance is chosen to be 0.01. (a) Is there evidence to suggest that the process average differs from the target value?
From a random sample we know that the average duration of unemployment in a low developed region A is 147 days (with standard deviation sA = 32 days and nA = 230 unemployed).
Suppose a single pineapple is selected at random from last years crop. What is the approximate probability that it weighs more than 35 ounces show work.
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