In its standardized formthe normal diatribution has following properties,
B) a mean of 0 and standard deviation of 1.
Note: If Z is a standard normal variable then,
in its standardine orm the wan normal distcibun on has unich of e Noilowing Properties? Al...
The household income of a large population city has a normal distribution with average of 68,000 and standard deviation of 12,000. A sample of 50 families is selected randomly. WHAT IS THE EXCEL FUNCTION USED? A) What is mean of the sample, variance of the sample, and standard deviation of the sample? b) Approximate the probability that the sample mean of the household income is greater than 80,000. [Requirement: Draw a bell shape graph and identify the mean, cut-off value,...
7.19 a normal distribution has the mean 74.4 find its standard deviation if 10% of the area under the curve lies to the right of 100
Describe the standard normal distribution. What are its characteristics? Choose the correct answer below. O A. The standard normal distribution is a normal probability distribution with mean u = 0 and standard deviation o = 1. Similar to any normal probability distribution, it has associated with it a bell-shaped curve, symmetric about a vertical line through u with inflection points at o and -o. The Z-scores theorem, along with a table of areas under this standard normal curve can be...
its applied engineering data analysis course Q2 A standard normal variable has a mean of zero and a variance of 1 ie. Z* N(0, 1). SKETCH THE AREA and find the following z that fulfills the probability: 1. P(Zsz) -0.1 2. P(Z2z or Zs-z) -0.1 3. At what value of z, the area to the right is 2.5%? 4. At what value of z, the area between-z and z is 68%?
its applied engineering data analysis course Q1 A standard normal variable has a mean of zero and a variance of 1 ie. Z N(0, 1). SKETCH THE AREA and find the following probabilities: 1. P(Z 1.25) 2. P(Z s-1.25) 3. P(-.38 3 Z 3.25)
Question 7 6 pts . If a continuous randaom variable X has a bell curve (normal distribution with mean 5 and variance 25, using the z table I gave you, find P(X < 5) Note X is continuous, X<5 same as X < =5 ) If a discrete randaom variable X has a approximate bell curve (normal) . distribution with mean 5 and variance 25, using the z table I gave (Here X<5 is not the same as X you,...
Do these costs appear to come from a population that has a normal distribution? Why or why not? Can the mean of your data sample be treated as a value from a population having a normal distribution? Why or why not? Did an “unusually low” or “unusually high” z-score value occur? Was the associated z score probability value less than 0.05 (p < 0.05); meaning a “significantly low” or “significantly high” event? If yes, what are the implications for the...
The annual salary for a certain job has a normal distribution with a mean of $54,00054,000 and a standard deviation of σ=$5000σ=$5000. The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of o = $5000 1. Which sample size would allow us to use the normal approximation?n= all can be used + (Click to view hint) 2. What is the probability that the mean salary of random sample of...
Example 2 - Part 1 The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of o = $5000. 1. Which sample size would allow us to use the normal approximation?n= all can be used + (Click to view hint) 2. What is the probability that the mean salary of random sample of 100 workers is no more than $54, 215? a. = (Do not include the dollar sign) b....
(f) (g) (e) and (f) the last 4 questions are what i need help with Problem(12) Let X.X... X, be i.i.d. r.v's from Normal, a'). (a) (1 pt) What is the distribution of Mer? (b) (1 pt) What is the distribution of (S.)? (c) (1 pt) What is the distribution of (NL) (d) (7 pts) Show that (1) (e) (1 pt) What is the distribution of (1) S? (1) (3 pts) Simplify (B) (1 pt) What is the distribution of...