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If x1 and x2 are normally distributed random variables with a mean of 95 and a standard deviation of 20, and that x1 and x2 are independent of each other, then P(x1 and x2 < 60) is:
1. 0.0401
2. 0.0802
3. 0.2115
4. 0.0016
Suppose Y is a data matrix, and Z = YF for some orthogonal matrix F, so that Z is a rotated version of Y. Show that the variances of the principal components are the same for Y and Z. (This result should make intuitive sense.) [Hint: Find the s..
a fair dice is tossed. let x denote the number that appears and let y1 if an odd number appears and y3 if an even
Death during the next year for a person of your customer's age, sex,health etc is 0.002. What is the expected gain (amount of money made by the company) for policy of this type?
Explain the concept of "Regression Analysis", its types (3 types at least), applications and usefulness. Provide real application of its usage. Some times, Maximum likelihood estimation is not applicable, Explain and provide an example?
A report states that 73% 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 0.03 with 98% confidence?
The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics.
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance.
Construct and interpret a 90% confidence interval to estimate the mean fuel savings in the population of all such vehicles.
If the writing scores for the population have a standard deviation of σ = 20, does the sample provide enough evidence to conclude that the new composition course has a significant effect?
A mean of 25 inches and a standard deviation of 5 inches. What is the probability that the area receives at least 30 inches of rain in a year?
Assuming that the conditions for the binomial distribution are satisfied, what is the probability that the sample will lead Ziteck to reject the shipment if the defect rate is actually 0.05?
Create a 90% confidence interval for proportion of all kernels that would not pop.
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