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In sampling distribution of the sample means, what can you observe about the population mean and the mean of the sampling distribution?
How many ways can you order 3 blue marbles, 4 red marbles, and 5 green marbles in a row?
Mathematical models are used as tools to describe reality. These models are supposed to characterize the important features of the analyzed phenomena and provide insight. The normal distribution is an example of a random variable that is widely used by researchers to model real data.
Researchers often model real observations using the normal distribution, but sometimes the real distribution is a bit different from the perfect, normal distribution. List some reasons why researchers might make approximations like this and describe at least one situation when researchers should not use this approximation.
When forming your answer to this question you may give an example of a situation from your own field of interest for which a random variable can serve as a model.
How to calculate normal distribution between 60 and 70 with a mean 65 and SD of 5?
Random sample of size 4 are drawn from the finite population which consists of the
numbers 2,3,7,8,and 10.
the average number of automobiles per minute stopping for a gas at a particular service station along the coastal road is 3. what is a probability that in any given minute more than two automobile will stop for gas?
Construct the probability distribution and find the mean, variance and standard deviation of the following situation.
1. A group of friends is composed of 5 boys and 4 girls. You like to be off friend to 4 of them. The random variable T gives the number of girlfriends you can have.
Four coins are tossed. Let A be the random variable representing the
number of heads that occur. Find the values of the random variable A. PossibleOutcomes
Value of the Random Variable A
(Number of Heads)
Find the variance and standard deviation of the probability distribution of the random variable X, which can take only the values 3,5, and 7, given that P (3) = (7)/(30),P(5) = (1)/(3),P(7) = (13)/(30)
A network of 8 computers is connected to another network of 5 computers by a central hub. If a message needs to be sent between the two networks of computers, it must pass through the central hub. A message is produced in a randomly selected computer in either network; then, that first computer sends the message to a second randomly selected computer (different than the first) in either network; then, that second computer sends the message to a third randomly selected computer (different than the first two computers) in either network. Find the probability that the message passes through the central hub at least once.
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