Suppose you were given this Joint Probability Distribution:y = number of timescity name is stated 1Find the conditional mean and variance of Y|3Mean = Blank 1Variance = Blank 2x = number of bars of signal strength234 0.150.10.053 0.020.10.0520.020.030.21 0.010.020.250.20.250.55Marginal probability distribution of XMarginalprobabilitydistribution of Y0.30.170.250.28

Answered: Image /qna-images/answer/c71aa4cc-fe91-4927-9969-aee76a9132db.jpg

Answered: Suppose you were given this Joint…

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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A geologist is making guesses about the mean length of fossil teeth of a certain species found in a location. According to her judgment, the probability is 0.25 that their mean will be higher than 17.8 cm, and the probability is 0.15 that they will be higher than 19.2 cm. If the geologist’s uncertainty about the length of the teeth can be represented by a normal distribution, what are the mean and variance of that distribution?
4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and Inverse Gaussian, what does the variance function say about our ability to predict the range of possible values? (This may be a little bit challenging; give it your best guess.)
Suppose that the value of stock varies each day from $14 to $25 with a uniform distribution. Find quartile 1
We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 level of significance? Full data set O Carpeted 14.3 9.8 10.7 12.2 Uncarpeted 9.5 9.5 10.9 2.1 15 3 15.8 5.4 6.4 15.2 4.3 10.6 - X Student t-distribution Area in right tail t-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 0.816 0.765 0.741 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 6.314 2.920 2.353 2.132 12.706 4.303 3.182 2.776 2.571 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 63.657 9.925 5.841 4.604 4.032 127.32 1 14.089 7453 5.598 318.309 636.619 31.599 12.924 8.610 6.869 22.327…
A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.05 level of significance? Full data set O Carpeted Uncarpeted 11.9 11.3 9.8 8.3 9.1 8 7.1 6,7 12.9 13.8 9.5 11.3 11.6 14.4 9.9 14.1 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? Họ: Hcarpet = Pno carpet versus H1: Hcarpet Pno carpet Calculate the test statistic, to- to = (Round to two decimal places as needed.)
On average, a banana will last 6.5 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil different if the banana is hung from the ceiling? The data show results of an experiment with 11 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 5.3, 6, 5.5, 7, 5.4, 5.7, 6.2, 6.4, 9.1, 8.7, 8.3 What can be concluded at the the a = 0.01 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv C. The test statistic ?v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. R. Thus, the final conclusion is that 2
The results of a statistics examination follow an approximate normal distribution with a mean of 68 and a variance of 64. Grade A is awarded to students who score more than 82.What is the probability that a student gets a Grade A? a. 0.0401 b. 0.9599 c. 0.5871 d. 0.4129

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