Normal Distribution, Standard Normal Distribution, Probability

1. This week we learned about normal distributions:
a. Using your own words, tell me what the difference is between a normal distribution and a standard normal distribution.
b. Why do we convert values to z scores to find probability?

2. What is the difference between z scores and area in a bell curve?

3. T / F The number associated with the area under the bell curve that falls to the left of the mean or center line is a negative value (read this carefully).

1. For a standardized normal distribution calculate the following probabilities
a. P(0.00 < z < or equal to 2.33)
b. P( -1.00 < z < or equal to 1.00)
c. P( 1.78 < z < 2.34).
2. A random variable is normally distributed with mean of 25 and standard deviation of 5. If an observation is randomly selected
a. what val

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

A normal distribution has a mean of 50 and a standard deviation of 4. Please use Excel Spreadsheets. Show all work and formulas
a) Compute the probability of a value between 44.0 and 55.0
b) Compute the probability of a value greater than 55.0
c) Compute the probability of a value between 52.0 and 55.0

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

See attached file for solution regarding a problem about a normal distribution. Provide step by step calculations.
WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard

Upload speed are measured on a standard scale I which the target value is 1.0. Data collected over the past year indicate that the upload speeds are approximately normally distributed with a means of 1.005 and a standard deviation of 0.10. Each day at 25 random times , the upload speed is measured . Assuming that the distribu

Assume that x has a normaldistribution, with the specified mean and standard deviation. Find the indicated probabilities.
6)P(40 less than or equal to x less than or equal to 47); u = 50; o = 15
10) P( x greater than or equal to 2); u = 3; o = 0.25
Find the z value described and sketch the area described.
14) find