Statistics and Probability Answers

The mean weight of 20-year-old females is 126 pounds and the standard deviation is 15.7. If a sample of 25 females is selected, find the probability that the mean of the sample will be greater than 128.3 pounds. Assume that the variable is normally distributed.

If the area of the t-distribution to the right is 0.01, then find the following:

a. the area to the left of the distribution.

b. the degree of freedom when n=16.

c. the t-value when the confidence level is 99% and df=16

A population consists of the four numbers 3, 4, 2, 5. Consider all possible 

distinct samples (without replacement) of size two and verify that the population mean 

is equal to the mean of sample means

How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?

Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Let X be the random variable that represents the number of defective cellphones. Let D represent the defective cell phone and N for non-defective.

Suppose three cellphones are tested at random. We want to find out the number of defective cellphones that occur. Let X be the random variable that represents the number of defective cellphones. Let D represent the defective cell phone and N for non-defective.

Two balls are drawn. If there are 5 yellow balls and 8 violet balls, let Y represent yellow balls and let V represent violet balls. Let X be the random variable presents the number of violet balls. Find the probability of getting one violet ball.

Construct the probability distribution of the random variables described in each of the following situation.draw the corresponding histogram for each probability distribution.

A shipment of five computers contains two that are slightly different Defective. If a retailer receives three of these computers at rando, list the elements of the sample space S using the letter D and N for defective and non defective computers, respectively. To each sample point assign a value x of the random variable x representing the number of computers purchased by the retailer which are slightly defective

The heights of 1,000 college students are normally distributed about a mean value of 170 cm. The standard deviation is 7.2 cm. What is the probability of selecting a students smaller than 158 centimeters.

Determine the possible values of the random variable in drawing 2 balls without replacement from a box containing 3 red balls (R), 1 blue ball (B), and 2 green balls (G). Let X be the number of red balls selected.