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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Imagine a family member looks over your shoulder as you look at the variance equation Σki=1(xi − μ)2P(X = xi) and asks why the P(X = xi) term is there. What would you say?If the probability mass function of the variable X described in the table is. find variance Y=x^2+4x If you know that the torque is of the second order of the variable X about the origin is equal to 2.85
- QUESTION 9 The Department of Trade and Industry (DTI) conducted a survey to estimate the average number of employees per small and medium-sized enterprises (SME) in Free State. For a random sample of 144 SMEs in Free State, the DTI found that the average number of employees was 24.4. Assume that the population standard deviation is 10.8 employees and that the number of employees per SME is normally distributed. Using this information and rounding off the z or t values that you derive to 2 decimal places, the 95% confidence interval of the average number of employees per SME in Free State is for the lower limit andfor the upper limit. (Note: write your final answers to 3 decimal places and when writing your answer use "." (3.250) instead of "," (3,250) with no spaces between digits).I am not sure how to get the variance for this problem. The answer is 0.703 yr^2. Can someone show me which formula and how they got the answer? ThxQuestion 16: According to a University Center for Logistics Management, 4% of all merchandise sold in the United States gets returned. A Seattle department store sampled 89 items sold in January and found that 5 of the items were returned.If you have the following null and alternative hypotheses for a test you are running:H0:p=0.04H0:p=0.04Ha:p≠0.04Ha:p≠0.04Calculate the test statistic, rounded to 3 decimal places z=
- If a random variable X has pdf ?(?) = 3/376x(1−?), 0 < ?< 1 and y = √(x+1) what is the pdf of Y? (include the domain)If the PDF of X is f(x)=2x/k2 for 0<x<k, for what value of k is the variance of X equal to 2?E and F are independent variables with variances of 7 and 9, respectively. Given this, Var(2E - F + 2) = ? Show complete solution.
- The mean and variance of a Binomial variable X with parameters n and p are 16 and 8. Find P(X> or = 1) and P(X>2).question 27 59% of students entering four-year colleges receive a degree within six years. Is this percent smaller than for students who play intramural sports? 124 of the 243 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? The null and alternative hypotheses would be: Ho: p= (please enter a decimal) H1: p< (Please enter a decimal) 2.The test statistic _______ (please show your answer to 3 decimal places.) 3.The p-value = ______ (Please show your answer to 4 decimal places.)QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
