Statistics and Probability Answers

The two important parameters that best describe the normal curve are the ____ and the _________

The grade of students are normally distributed with mean of 75 and the standard deviation of 5.

a) How many percent of student took the grade between 70 and 80?

b) How many percent of student took the grade between 65 and 85?

c) How many percent of student took the grade between 60 and 90?

d) How many percent of student took the grade less than 70?

e) How many percent of student took the grade between 60 and 80?

f) How many percent of student took the grade greater than 90?

g) How many percent of student took the grade between 65 and 75?

h) How many percent of student took the grade between 70 and 85?

The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?

A population consists of three numbers (3,6,9).Consider all possible samples of size n=2 which can be drawn WITHOUT REPLACEMENT from the population.

Questions to be answered:

Population mean

Population variance

Population standard deviation

Mean of the sampling distribution of the means

Variance of the sampling distributionof the means

Standard deviation of the sampling distribution of the means

mathematics written work are normally distributed with a mean of 23 and standard deviation of 9. describe the sampling distribution of 15 students who are normally from this population

 Jar A contains one white and two black balls, jar B contains five white and two black balls, and jar C contains four white and two black balls. One ball is selected from each jar. What is the probability that the ball chosen from jar B will be white, given that exactly two black balls are selected?

Show you work.

A group of students got the following scores in a test: 6, 11, 22, 17, 18, and 21. Consider samples of size 3 that can be drawn from this population.

List all the possible samples and the corresponding mean.

Construct the sampling distribution of the sample means.

X= 842, n= 1200, 95% CONFIDENCE

What is the relationship between the mean of a population and the mean of the sampling distribution of the sample mean?

A population has a mean of 70 and a standard deviation of 6. A random sample of 15 measurements is drawn from this population.

Find the Value of μ and n