Discrete random variable Y has the CDF FY(y) as shown below. Find the variance of the random v
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Discrete random variable Y has the CDF FY(y) as shown below. Find the variance of the random variable Y.
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- What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.19x = 1 and P(X = x) = 0.27x = 2 and P(X = x) = 0.21x = 3 and P(X = x) = 0.33Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.3, P(B) = 0.3, and P(C) = 0.4. (a) Among the next 210 customers, what are the mean and variance of the number who pay with a debit card? E(X) = V(X) = Explain your reasoning. This answer has not been graded yet. (b) Answer part (a) for the number among the 210 who don't pay with cash. E(X) = V(X) =We are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 10 days of sales at Store A and a sample of 12 days of sales at Store B indicated the following. Use a=0.1. Store A n₁ = 10 Store B n₂ = 12 $1 = 60 $2=40 (A) The test statistic is F = 1.50 (B) The test statistic is F= 2.25 (C) The rejection region is F≥2.8962 (D) The rejection region is F≥3.1025
- I need help with this question.Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately o² = 47.1. However, a random sample of 17 colleges and universities in Kansas showed that x has a sample variance s² = 82.7. Use a 5% level of significance 1 test the claim that the variance for colleges and universities in Kansas is greater than 47.1. (a) What is the level of significance? State the null and alternate hypotheses. Ho: o²=47.1; H: o> 47.1 Ho: o²=47.1; H: o2 0.100 0.050 a, we fail to reject the null hypothesis. Since the P-value > x, we reject the null hypothesis. Since the P-values ∞, we reject the null hypothesis. Since the P-values a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient evidence to conclude the variance of annual salaries…A nail is needed to hang up a 50 lb painting on a wall. A technician has two nails in his pocket, where the probability that both nails meet the specific weight of the painting is 50%, the probability that only one of them meets the specific weight is 20%, and the probability that neither of them meets the specific weight is 30%. If the number of nails that meet the specification is a random variable, find the variance of the data of that random variable.
- Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:J 1Which one is correct?
- Suppose that contamination particle size (in microm- eters) can be modeled as f(x)=2x³ for 1 < x. Determine the mean of X. What can you conclude about the variance of X?Consider the model (1-B)(1-0.2B)X_t = (1-0.5B)W_t find the forecasts for one, two and three steps ahead and calculate the variance of the one, two, and three steps ahead forecast errors
