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Compute first 4 moments about arithmetic mean from the data .

6,5,4,7,13,5,4,3,8,5


 In a university of 100 men and 50 ladies the professor noted the number of days absent from class during the period of the four years of the programme. For the men, the average number of absences was 15 with a standard deviation of 7, and for the ladies the average number of absences was 10 with a standard deviation of 6. What are the mean and the standard deviation of the absences for the entire class of students?


A random sample of size 4 is taken with replacement from a population with population mean of 12 and population variance of 8. [What is the standard deviation of the sampling distribution]. 


Using the t-table, identify the missing value for each of the following;1.n=12,95%confidence, confidence coefficient

For what values of h the vectors


⟶              ⟶                 ⟶  

u1 = [1, -3, -2]             u2 = [-1, 9, -6]              u3 = [5, -7, h]   

     

are linearly independent? (Show all working)


Note: The three vectors are supposed to be in a 3x1 matrix(3 rows and 1 column)



A group of students got the following scores in a test 2,4,6,8, and 10. Consider samples of size 3 that can be drawn from this population. Find the following population mean,variance, and standard deviation

The length of stay of patients at a certain hospital in Cavite is 3 days with a standard deviation of 1.5 days. If a patient is selected at random, what is the probability that he/she will stay in the hospital between 3 and 7 days?


State whether the following statement is true or false and give reason for support your answer



(1) standard deviation of a random variable X, may be any real number lies interval of-infinity, infinity

Determine whether an Ex-OR or OR is needed for following propositions:

i. Coffee or tea comes with dinner.

ii. Experience with C++ or java is required.

iii. Lunch includes soup or salad.


A master’s student, Mr Nkandimeng Ledwaba’s task this semester is to contact the Research Office at the University of Limpopo for support for the university’s National Research Fund (NRF). Studies conducted in South Africa and elsewhere, point out that the probability that each of the his calls is answered is 1 3 . What will be the probability that the second call to be answered on one particular day is his sixth call?

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