Math Answers

Random sample of size N = 2 are drawn from a finite population consisting of

the numbers 1, 3, 8, 9.

Find the following:

Mean, Variance and Standard deviation of the Population.

Mean, Variance and Standard deviation of the Sample means.

Draw all the possible samples of 2 without replacement from a population consisting of 4, 9, 12, 15, 20. Contruct the sampling distribution of sample mean and verify

Represent the rational function f(x)=1/3x-1 using its table values and graph

A machine produces cylindrical metal pieces. A sample of pieces is taken, and the diameter are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01 and 1.03 cm. Find the t-value for a 98% confidence interval for the diameters of the cylindrical metal pieces. Assume that the diameters are approximately normally distributed.

Suppose that in a day, the probability of a car agent’'s not closing any deal is 0.35. on the other hand, the probability that he/she can close one deal is 0.3; two deals, 0.25; and three deals, 0.1. find the agent’s expected number of closed deals in a day and determine the variance and standard deviation.

Five hundred tickets will be sold and these will be raffled during the town fiesta. One of these tickets will win Php 3,000 and the rest will win nothing. What will be the expected outcome and variance of your gain if you will buy one of the tickets?

    In a group of 35 ex-athletes, 17 play golf, 20 go cycling, and 12 do yoga. Exactly 8 play golf and go cycling, 8 play golf and do yoga, 7 go cycling and do yoga, and 4 do all three activities. How many of the ex-athletes do none of these activities? 

Carl and Dennis are brothers. The sum of their ages is 29. In 6 years' time Carl will be the same age as Dennis was 3 years ago.

1. In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 568 said Yes. Find a 95% confidence interval for the population p (Explain your solutions):
2. What is α?
3. What are the confidence coefficients?
4. what are p and q?
5. The error E is approximately?
6. What are the lower and upper limits?
7. The true population proportion falls between?

1. In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 568 said Yes. Find a 95% confidence interval for the population p (Explain your solutions):
2. What is α?
3. What are the confidence coefficients?
4. what are p and q?
5. The error E is approximately?
6. What are the lower and upper limits?
7. The true population proportion falls between?