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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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6. Need help

Consider the following joint probabilities table for X and Y
, where x
1, 2, 3 and y = 1, 2, 3, 4.
X\Y
1
2
3
=
Calculate the covariance of X and Y.
ox:
1
2
3
4
0.05 0.1
0.05
0.01
0.2
0.02
0.25 0.07
0.15 0.01 0.03 0.06
Cov(X,Y)= 0.4584 X
Calculate the standard deviations of X and Y.
-
0.6771
oy 1.2459
=
X
Calculate the coefficient of correlation of X and Y.
p(X,Y)= -0.0204 X

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If the correlation between X and Y is r= -0.61 and if the standard deviations of X and Y respectively are 16 and 25, respectively, then the covariance is Cov(X; Y ) =-12.2 * true False
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (Y) X=1 X=2 X=3 0.12 0.08 0.15 0.06 0.05 0.05 0.10 0.03 0.15 0.15 0.04 0.02 Y=4 Y=3 Y=2 Y=1 The covariance between X and Y, oxy, is (Round your answer to two decimal places Enter a minus sign if your answer is negative) The correlation between X and Y, corr(X, Y), is (Round your answer to two decimal places Enter a minus sign if your answer is negative.) An increase in the number of sports an individual plays will tend to * the number of times she may got injured while playing
The correlation between X and Y Select one or more: a. is the covariance squared b. cannot be negative since variances are always positive. c. is given by corr(X, Y) = cov(X,Y)/var(X)var(Y)cov(X,Y)/var(X)var(Y) d. can be calculated by dividing the covariance between X and Y by the product of the two standard deviations
Let X be a random variable and Y = aX + b with a ̸= 0. Show that the correlation between X and Y is either +1 or −1. State the conditions which make the correlation equal to +1.
6. Need help
3.Find the population variance or covariance given each scenario below:
Let X and Y be independent random variables with means x,y and variances o, oy. Find an expression for the correlation of XY and Y in terms of these means and variances.
%A. l. https://docs.google.com/fo YO 4.4 O 3.96 O 1.8 نقطة واحدة Let X denote the number of colleges where you will apply after your results and P(X =x) denotes your probability of getting admission in x number of colleges. It is given that if x = 0 or 1 if x = 2 if x 3 or 4 otherwise kx, 2kx, P(X = x) 3= %3D k(5 - x), 0, Where k is a positive constant. Then the probability that you will get admission in at most 2 colleges is 0.625
Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.04. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of X are: O E(X)=0.4 and V(X)=0.384 O None of these O E(X)=0.5 and V(X)=0.475 E(X)=0.3 and V(X)=0.291
please all
2.2 Solve the below problem. Table 1 contains the probabilities associated with each possible pair of values for Y, and Y2 and is known as the joint probability function for Y and Y2 Table: Probability function for Y, and Y2 y1 1 2 yz 1/9 2/9 1/9 1 2/9 2/9 0 2 1/9 0 Find F(1, –1), F(1.5, 2), and F(2,2).
If the random variable X and Y have the joint probability distribution f(x, y) = x+y, 0

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