Purchase Solution

Find the mean of the distribution

Not what you're looking for?

Ask Custom Question

The number two is both even and prime. Suppose a card with a two is mixed with seven other even number cards that are not twos. A pair of cards is drawn with replacement.

I understand how to get the number of different samples possible and that is 64.

I understand how to get the number of samples for which the proportion of non-prime even numbers is one and that is 49.

I do not understand how I find the mean of the sampling distribution of the proportion of non-prime even numbers. Although I know the answer is 0.875 I do not understand how you arrive at that. Can you please show me how that is determined?

Purchase this Solution
Solution Preview

There are 8 total cards; one is prime, seven are not prime. You are correct that the number of different possible of pairs of cards is 64 (8 possibilities for card #1, 8 for card #2, 8 x 8 = 64). Similarly there are 49 possible pairs of non-prime cards (7 x 7 = 49).

You want to find the mean of the sampling distribution of the proportion of non-prime cards. For each pair of cards, the proportion ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Normal distribution probability - Central Limit Theorem

    This solution shows how to find the probability of an event related to a normal distribution and how to apply the central limit theorem to find the probability of an event related to a sample mean.

  • Normal Probability problems

    Describe the distribution of x, the mean of samples of size 16. The sampling distribution of sample mean is normal with mean =68 and standard deviation =0.9375 4.) Find the mean and standard error of the distribution.

  • Probability of obtaining a given sample mean

    What is the probability that the sample mean will be greater than 100 grams? To find the probability of obtaining a given sample mean, we use the sampling distribution. Sampling distribution includes all the means of samples of size 25.

  • Standard Normal Distribution

    458786 Standard Normal Distribution Question 1 Use Appendix Table for Normal Distribution to find area under Standard Normal Distribution curve to the left of z = 0.85 Answer 0.8023 0.6245 0.3524

  • Sampling distribution of sample mean

    If 40 snowfall amounts are randomly selected, find for the sampling distribution of sample means with samples of size 40. Answer The sampling distribution of sample mean is normal with mean = population and standard deviation = .

  • Probability Distributions

    247289 Frequency distribution a) Use the probability distribution to find the mean of the probability distribution. b) Use the probability distribution to find the variance of the probability distribution.

  • normal distribution

    Since our z value is on the left of the mean, we subtract out half of the distribution to find the probability from x=88 to the mean=90.

  • Mean, variance and standard deviation

    83248 Mean, variance and standard deviation N= 63,p=04 Find the mean binomial distribution round to the nearest tenth.

  • Normal distribution

    A) 0.52 B) 2.10 C) 0.44 D) 1.25 7)Find the z value to the right of the mean such that 85% of the total area under the standard normal distribution curve lies to the left of it?

  • Z-score distribution

    189066 Z-score distribution A distribution has a standard deviation of 0=4. Find the z-score for each of the following locations in the distribution. a. Above the mean by 4 points b. Above the mean by 12 points c. Below the mean by 2 points d.

View More Related Solutions