Math Answers

Consider a population consisting of the values (1, 3, 4). Solve for the following:

A.

a. Compute the population mean.

b. Compute the population variance.

c. Compute the population standard deviation.

B.

a. List all the possible samples of size 2 that can be drawn from the population with

replacement.

b. Compute the mean of the sampling distribution of the means.

c. Compute the variance of the sampling distribution of the means.

d. Compute the standard deviation of the sampling distribution of the means.

e. Construct the probability histogram of x̅ with replacements when n = 2.

C.

a. List all the possible samples of size 2 that can be drawn from the population without

replacement.

b. Compute the mean of the sampling distribution of the means.

c. Compute the variance of the sampling distribution of the means.

d. Compute the standard deviation of the sampling distribution of the means.

e. Construct the probability histogram of x̅ with replacements when n = 2.

If the basketball team will play for three (3) consecutive games. If W stands for win and L for loss. What is the possible outcome and the number of random variable representing by wins

A researcher used a developed problem-solving test to randomly selected 50 Grade-11 students. In this sample, X ̅=80 and s=10. The mean and standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Use the 95% confidence level. What is the computed test statistic?

If C is the midpoint of AD and CA = 10, find AD.

You play game of tossing an unbiased coin.on each toss if a head appears on each toss, you win php.60 .however , if a tail appears you lose php 70. If you continue to play the game, how much do you expect to win or lose in the game

The probability that a blade manufactured by a factory is defective is 1/500. Blades are

packed in packets of 10 blades. Find the expected number of packets containing (i) no

defective blade (ii) one defective blade (iii) 2 defective blades, in a consignment of 10000

packets.

How can we solve this by using only poison distribution

The results of a nationwide aptitude test in mathematics are normally distributed with mean of 80 and standard deviation of 50.What is the percentile rank of a score of 84

The average of cholestorel content a certain canned goods is 215 miligrams,and the standarddeviation is 15 miligrams.Assume that the variable is normally distributed.If a sample of 25 canned goods is selected,what is the probability that the mean of the sample will be than 220 miligrams?

A random variable x has the probability distribution as follows:

x | 1 | 2 | 3 | 4 | 5 |

P(x) | 0.1 | 2k | 0.4 | 0.25 | 0.1 |

a. Find k.

b. Construct a probability histogram to describe P(x).