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- In performing a chi-square test of independence, as the differences between respective observed and expected frequencies _________, the probability of concluding that the row variable is independent of the column variable increases.The expected value of a random variable X that is denoted by uis called its: a. median. O b. variance. mean. O d. mode.1. How do you determine the values of a random variable? 2. How do you know whether a random variable is continuous or discrete? What is the difference between the two types of random variables?
- Textbook: Statistics for the Behavioral SciencesGregory J. Privitera Please show your work-Concept and Application Problems (Pg.133) If Sample 1 has a variance of 4 and Sample 2 has variance of 32, can we tell which sample had a larger range? If so, which sample had a greater range?Which of the following is a true statement? A. The expected value is the most frequently occurring value of the random variable. B. Variance is always >=0 C. Variance can be negative D. F(x)=P(X=x)I asked this question before, and got an answer, but I have a question about the response that was given. The original question was: For an initial investment of 100, an investment yields returns of X1 and X2, where X1 and X2 are independent normal random variables with mean 60 and variance 25. What is the probability that the rate of return of this investment is greater than 10%? In the answer that was given it says that the gain of the investment is X1+X2. My question is why can we just group those together as one amount? I was given a formula in my class that says the return on the investment would be the solution to the equation: -100+ X1/(1+r) + X2/(1+r)2=0. If this formula is used, a different solution would result for this problem.
- You own a company called Company X, which has monthly sales that are independent normal random variables with mean 100 and variance 10. Your rival company, called Company Y, has monthly sales that are independent normal random variables with mean 110 and variance 20. (a) Find the probability that your company, Company X, makes more than $307 this quarter (a quarter is 3 months). (b) What is the probability that your company makes more money than your rival company this month?A project’s profit (in thousands), is a random variable with normal distribution. The variance equal to the cube of the mean. The probability of the project loss (negative profit) is 6.94%. The expectation of the profit is:Chapters: Expected value & Variance of a continuous random variable
- LINEAR REGRESSION 1) An important company asks you as a professional to build a report where the products are evidenced defective ( x ) versus the number of times maintenance and supervision was performed on the machine ( y ) and they supply these data. (img 1) A. What are the mean and median of each distribution? B. What is the variance and standard deviation of each distribution? C. Make the scatterplot, calculate the covariance and discuss it D. Calculate Pearson's correlation coefficient. Is it consistent with covariance? comment on it thanks for helpSuppose, you are running an experiment that has two outcomes, namely 'success' and 'failure'. You intially don't know the probability of success in a single experiment. But you know that, if you continue to run the experiment several times, the variance of the number of experiments required for the first success is 2. What is the expected number of experiments required for the first success ? [Hint: Try to determine the probability of success in a single experiment and recall the range of the values to which a probability must belong]Which of the following is the name for the statistical hypothesis that describes an outcome of some change? Type I error Null hypothesis Alternative hypothesis Type II error
