Normal Distribution

What is a normal distribution? Describe the properties of a normal distribution. Please provide references.

Discuss the concept of the normal distribution, why it is important, and what you think it means.

What is the relationship between the Z-score for Normal Distribution and Continuous Probability?

If x is normally distrubed with u = 20.0 and o = 4.0, determine the following: a. P(x > 20.0) b. P(16.0 < x < 24.0) c. P(X < 12) d. P(x = 22.0) e. P(12.0 , x , 28.0) f. P(x 15)

h-p is said to be the leading seller of pc's in the U.S WITH 27% share of the pc market. if a researcher selects 130 recent pc purchases, use the normal approximation to the binomial to find the probability that more than 39 bought a h-p computer

For a sample size 16, the sampling distribution of the mean will be approximately normally distributed: A. regardless of the shape of the population B. if the shape of the population is symmetrical C. if the sample standard deviation is known D. if the sample is normally distributed

Which of the following about the normal distribution is not true? a. About 2/3 of the observations fall within ±1 standard deviation from the mean. b. Its parameters are the mean, μ, and standard deviation, σ. c. It is a discrete probability distribution. d. Theoretically, the mean, median, and mode are the same

Please see attached for a full list of problems.

Find the area under the normal curve for the condition. Find the percent of the area between the mean and 3.01 deviations from the mean.

What are the characteristics of a normal distribution, and why is normal distribution an important concept for researchers?