Samples of rejuvenated mitochondria are mutated (defective) in 10%of cases. Suppose a study needs to have 5 mutated samples, and theykeep testing samples until they get the desired number. Assume thesamples are independent for the mutation, let X denote the number ofnot mutated samples being tested until 5 mutated samples are found,(a) Find P(X=20) [Select](b) Find E(X) [Select](c) Find V(X) [Select]

If we have a sequence of trials each having two outcomes, say Success and Failure, trials being…

Answered: Samples of rejuvenated mitochondria are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3 If P(A|B) = {},P(A|B') = ³, and P(B) = find P(A¹). 10
Imagine you have two estimators X and Y, for unknown parameter µ. Assume that they are estimated from independent datasets. Let Z = }(X+Y) be the average of these two estimators. To write the symbol µ, you can write mu. For other math notation, you can E[X], Var(X) and (X+Y)/2 or (1/2)(X+Y). Part a - If X and Y are unbiased estimators, E[X] = E[Y] = µ, then is Z unbiased? Explain why or why not. Your explanation should include a short derivation. Part bL Assume Var(X) = Var(Y). Is Z a lower variance or higher variance estimator than X? Explain your answer. Your explanation should include a short derivation.
1.Suppose that one word is to be selected at random from the sentence "THE GIRL PUT ON HER BEAUTIFUL RED HAT". If X denotes the number of letters in the word that is selected, (1) What is the value of E(X)? (2) What is the value of Var(X)?
A research report concludes that there are significant differences among treatments, with "F(3, 28) = 5.62, p < .01, η2 = 0.28." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment? a. 6 b. 8 c. 9 d. cannot determine without more information
If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with CI of (85, 90), are the two life expectancies likely to be statistically different?
9) Find L3.2 (5) using the nodes xo = 3,x1 = 4, x2 = 6 ,x3 = 8 %3D
A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
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A manufacturer claims that it has increased the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of six boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, and 217.Using α = 0.05, test the manufacturer claim that the shelf life of the cake mix is more than 216 days. a- Standard Deviation b- Testing a mean, Calculated c- Critical mean, Table d- p-value e-What do we conclude?
Please show me the steps
Assume a 3-year select period and the following: Ultimate Rates Effects of Selection Age x 25 0.00185 9x] = qx * .7 26 0.00205 9[x]+1 = qx+1 .8 27 0.00225 9[x]+2 = qx+2 * 9 28 0.00245 29 0.00265 Complete this table of life counts: [x] Ix+3 x+3 1000 25 26 27 25 28 26 29 27 30
In 2004 it was reported that 31% of all graduating US college students were graduating with STEM degrees (Science Technology Engineering and Math). You want to study if this percentage has increased. To study this you divide the country into 4 major regions, East Coast, Midwest, South, and West Coast and randomly sample 70 students from each region. This means you ultimately randomly sample 280 graduating students and find that 95 of them were graduating with STEM degrees. (a) Carry out at α = .05 a hypothesis test to test the claim that the percentage of US college students that get STEM degrees has increased since 2004. Make sure to check all necessary condi- tions and state your conclusion in the context of this problem. (b) Build a 95% confidence interval to estimate the current percentage of US college students that graduate with a STEM degree. Make sure to check any necessary conditions and interpret your interval in the context of this problem. (c) What type of sampling did you…

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