Normal distributions-z scores and probabilities

Assignment Help Basic Statistics
Reference no: EM13102320

A continuous random variable, x, is normally distributed with a mean of $1000 and a standard deviation of $100. Convert each of the following x values into its corresponding z-score.

a. x = $1000

b. x = $750

c. x = $1100

d. x = $950

e. x = $1225

2.Using the standard normal table, find the following probabilities associated with z:

a. P(0.00 , z , 1.25)

b. P(-1.25 < X < 0.00)

c. P(-1.25 < x < 1.25)

Reference no: EM13102320

Questions Cloud

Finding probabilities with binomial distribution : A regional manager visits local fast-food franchises and evaluates the speed of the service. If the manager receives her meal within 45 seconds, the server is given a free movie-admission coupon.
Find the value of m : The end point of a spring vibrates with a period of 1.9 seconds when a mass m is attached to it. When this mass is increased by 9.630×101 kg, the period is found to be 4.1 seconds. Find the value of m.
Probability-population and sample : There are 40 English students enrolled. The teacher questioned 5 students who always sit in the back of the classroom. Three of the 5 said "yes" when asked if they would like "A Tale of Two Cities" as the next class reading assignment.
Probability that fifth fish caught is the first young fish : When a fisherman catches a fish, it is a young one with a probability of 0.23 and is returned to the water. On the other hand, an adult fish is kept to be eaten later.
Normal distributions-z scores and probabilities : A continuous random variable, x, is normally distributed with a mean of $1000 and a standard deviation of $100. Convert each of the following x values into its corresponding z-score.
Explain human behavior deviant in one society : When the crime is committed by someone who has powerful status in this society, how is their deviant behavior tackled in comparison to someone who has less power in society?
Worldwide transfer of knowledge and innovation : Do you believe it is possible for a global industry to simultaneously achieve the goals of global efficiency and integration, national responsiveness and flexibility and the worldwide transfer of knowledge and innovation?
Test the effect of lowering the soil ph : Suppose that you wish to test the effect of lowering the soil ph on the number of lady ferns in an area. The researchers hypothesize that lowering the ph-level of the soil will lead to more ferns.
Question on poisson distribution : What type of probability distribution will most likely be used to analyze the number of chocolate chip parts per cookie in the following problem?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Population mean for the particular samples

For a population with a mean of (u)=50 and a standard deviation of (o)=10, how much error on average would you expect between the sample mean (M) and the population mean for the following samples

  Difference between two population variances

Hypothesis test for difference between two population variances - compare the variation in the selling price of homes on the oceanfront with those one to three blocks from the ocean.

  Cherry trees-computing probability

The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a randomly selected cherry tree in this nursery is less than 13 feet tall.

  Gathering data for testing the hypotheses

How should he go about taking samples to gather data for testing the hypotheses?

  Fitting of multiple-linear regression model

Run a multiple regression and interpret all the findings, R 2 , F, IV coefficients, and the intercept. Then in paragraph format, identify and report the following:

  Hypothesis test for difference between population proportion

Using alpha = 0.05 and a computed value of +4.49, can we conclude that the percentage of claims for married policyholders is less then for single policyholders?

  Mean time for a game using level of significance

Can we conclude that the mean time for a game is less than 3.50 hours? Use the .05 significance level.

  Regression model in spss

Which variable is the independent variable and which is the dependent variable? Write out the regression equation and sketch it on the plot. What percentage of the variability in the defect rate can be explained by differences in volume?

  Forecasting of data in probability

Recent actual and forecasted data for product XYZ is given in the following table.

  Explaining probability distribution of data

Explain probability distribution of X (name and parameters).

  Sophomore and a history major

What is the probability that the student is both a sophomore and a history major?

  Probability based on normal distribution and empirical rule

Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd