What is the variance of the distribution of variable X in group AB The cumulative frequency function of a discrete variable X in group A is given byx < 1212 ≤ x < 3232 < x < 4848 ≤ xThe cumulative frequency function of the same variable in group B is given byFA (X) ==0,0.1,0.699,1,0,x < 320.151,32 < x < 480.699,48 ≤ x < 751,75 ≤ xConsider the mixture of the two distributions, i.e., the distribution of the same variable when the two groups arecombined into one larger group, group AB.Assume the weight of group A is 0.48.Enter below the variance of the distribution (of variable X in group) AB.FB (X)

Answered: The cumulative frequency function of a…

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 couple wishes to have children until they have exactly two female children in their family. Determine the expected number and variance of male children
suppose that p is the probability that a randomly selected person is left-handed. The value(1 − ?) is the probability that the person is not left-handed. In a sample of 100 people, thefunction ?(?) = 100?(1 − ?) represents the variance of the number of left-handed people in agroup of 100.a. What value of p maximizes the variance?b. What is the maximum variance?
It is known from laboratory experiments that 40% of mice inoculated with a serum are protected from a certain disease. If 6 mice are inoculated, find the probability that (a) none contracts the disease, (b) fewer than 2 contracts the disease; (c) more than 4 contracts the disease. (d) Find the mean and variance of X: the number of mice protected from disease after inoculation.
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The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A (group 1) and B( group 2) .A random sample of 19 rats was selected from group 1and 16 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 19 3.5 3.0 1.05 group 2 16 2.20 2.0 1.15 F15.12.0.05=0.404 F19,16,0.025 =0.386 F16,10,0.025 =0.335 F16,10,0.05 =0.401 F15,12,0.1=0.496 | F 19.16,0.05 =0.451 F10,16,0.025=0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 =0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval]
In a college,there are 20 major subjects and 40 minor subjects,these are divided into 20 groups of 2 students each , such that all the ways of dividing them into group are equally likely . A = no of groups having 1 major subject and 1 minor subject Find the variance var (A) of A
In a class of 50 students, every student took a certain a test which was out of 100 marks. Among all the students, 40% of them got 80, 30% of them got 72, 20% of them got 61 and rest of them got 53 marks. i. What is the expected mark of a student taking that test? ii. What is the expected mark of a student if he/she takes the test thrice? iii.What is the variance of marks of a student?
The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 =0.404 F19,16,0.025 = 0.386| F16,10,0.025 =0.335 F16,10,0.05 =0.401| F15,12,0.1 = 0.496 | F19,16,0.05 =0.451 F10,16,0.025 =0.286 F12,15,0.05 =0.382 F16,19,0.025 =0.371 F10,16,0.05 =0.354 F12,15,0.1=0.475 F16,19,0.05 = 0.437 Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, 0.238 ] O c. [ 2.160 , 0.309 ] O d. [2.063 , 0.318]
One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?

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