Math Answers

The average monthly income of employees in a certain company is P28,000 with a

standard deviation of P9,000. Below which income do we find the lowest 5% of the

nincomps?

Construct all random samples consisting two observations from the given data. You are asked to guess the average weight of the six watermelons by taking a random sample without replacement from the population.

Watermelon A B C D E F

Weight (in pounds) 19 14 15 9 10 17

1. For what values of h the vectors

⟶ [ 1 ⟶ [ -1 ⟶ [ 5

u₁ = -3 u₂ = 9 u₃ = -7

-2 ] -6 ] h ]

are linearly independent? (Show all working)

11•j=1(mod 4). Find j

(D^2-2D+5)y=x+5

Consider a population consisting of 4 members whose weights (in pounds) are 148, 156, 176 and 184.

i) Calculate the population mean and the population standard deviation (2marks)

ii) Draw all possible samples of size two, with replacement, from the population. Calculate the mean of each sample and obtain the distribution of the sample means .

The human resource management of an insurance company has organized a

recruitment process where all the applicants are MBA graduates. There are 10

applicants and the target for the firm is to recruit 2 MBA graduates. Assuming that the

applicants are independent and each applicant has the same probability of being a

perfect fit, what is the probability that the 5th individual interviewed will be the second

MBA graduate interviewed who is a perfect fit?

A sample of 40 children from Kafue state showed that the mean time they spend watching television is 28.50 hours per week with a standard deviation of 4 hours. Another sample of 35 children from Chilanga showed that the mean time spent by them watching television is 23.5 hours per week with a standard deviation of 5 hours. Using a 2.5% significance level, can you conclude that the mean time spent watching television by children in Kafue state is greater than that for children in Chilanga? Assume that the standard deviations for the two populations are equal 

find the projection of point p=(3,-1,4) on l=(2,0,3)+t(1,5,2)

if a population with size of 4 has a variance of 6.8 what is the variance of the sampling distributionof its means? the sampling distribution has a sample size of 3 and all possible samples are drawn without replacement