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Call that random variable A (for amount of payoff). a) Find the moment generating function, M_X(t), of the random variable X. b) Differentiate to obtain M_X(t) to obtain E(X). c) Use the result of p
A random sample of 100 voters in a community produced 59 voters in favor of candidate A. The observed value of the test statistic for testing the null hypothesis Ho: p =0.5 versus the alternative hy
Write down the equation of the least squares line and use it to predict the GPA for someone with 800 Facebook friends.
An airline has an advertisement that states: "...our passengers always receive their bags within 20 minutes after the plane arrives at the gate." Discuss the hypothesis that they might have used and
Describe in words and statistical terms the relationship between the number of years in education and corresponding salary earned. Discuss the results in terms of this sample and the population in g
Construct a time series plot. What type of pattern exists in the data? Develop three month and four month moving averages for this time series. Does the three month or four month moving average prov
The effectiveness of a new bug repellent is tested on 14 subjects for a 10 hour period. (Assume normally distributed population.) Based on the number and location of the bug bites, the percentage of
Let X and Y be independent exponential random variables with respective parameters 2 and 3. Find the cdf and density of W = min {X,Y}
Can the mean ages of the female and male populations of consumers be considered significantly different at a significance level of 0.5 (meaning at 95% confidence level)?
A memory researcher shows each study participant a list of words on a computer, with some participants seeing words that are food items and other participants seeing words that are completely unrela
The odds against contracting an airborne disease while in flight is 999 to 1. What is the probability of contracting an airborne disease?
After observing 120 workers. The manager noticed that their average time was 16.2 minutes. Construct a 92% confidence interval for the mean assembly time.
Consider an experiment to determine the effects of alcohol and marijuana on driving ability with Alpha= .05. Fifteen participants were randomly assigned to have alcohol, marijuana, or neither, and w
The number of carbohydrates (in grams) per 8-ounce serving of yogurt for each of a random selection of brands is listed below. Estimate the true population variance and standard deviation for the nu
The number of unhealthy days based on the AQI (Air Quality Index) for a random sample of metropolitan areas is shown. Construct a 98% confidence interval based on the data. Show step by step.
The number of students who belong to the dance company at each of several randomly selected small universities is shown below. Estimate the true population mean size of a university dance company wi
Find the margin of error for mu(mew), if x-bar = 50, n= 16, s= 12 and c= 90.
A safety engineer claims that 3 in 12 automobile accidents are due to driver fatigue. Using the formula for Binomial Distribution find the probability that at least 2 of 5 automobile accidents are d
The article indicated that 600 FBI agents were required to take a polygraph test. Consider the random variable x = number of the 600 tested who fail. If all 600 agents tested are trustworthy, what a
The number of monthly breakdowns of a computer is a random variable having Poisson distribution with lambda=1.8. Use Poisson distribution formula to find the probability that there will be at most f
Suppose the amount of cosmic radiation to which a person is exposed folows normal distributioin with a mean 5.853 and standrad deviation 1.361. What is the probability that the person will be expose
A report states that 46% of home owners had a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 3% with 99% confidenc
Do new visits vary with the phase of the moon? Do the appropriate statistical test and write a statement of results.
The correlation between GPA and number of Facebook friends is -0.686. Us eht correlation and significance level of 5% to test for a negative linear association between GPA and number of Facebook fri