Variable with probability density function

Assignment Help Basic Statistics
Reference no: EM13985507

Let X be a random variable with probability density function 630x4(1 - x)4, 0 < x=""> 1,f(x) = 0, otherwise.

(a) Obtain the lower bound given by Chebyshev's inequality for P {0.2 X 0.8}.

(b) Compute the exact probability, P {0.2 X <>0.8}.

Reference no: EM13985507

Questions Cloud

Sampling distribution of the sample mean : Let the population be given by the numbers {-2, -1, 0, 1, 2}. Take all random samples of size 3. (a) Without replacement, obtain the following in each case.
Find the greatest number of shirts : A shirt manufacturer knows that, on the average, 2% of his product will not meet quality speci?cations. Find the greatest number of shirts constituting a lot that will have, with probability 0.95, fewer than ?ve defectives.
Failure of certain component follows the distribution : Suppose that a failure of certain component follows the distribution f(x) = px(1 - p)x for x = 0, 1, and zero, elsewhere. How many components must one test in order that the sample mean X will lie within 0.4 of the true state of nature with probabili..
Probability that the number of cars arriving : Find, using Chebyshev's inequality, a lower bound for the probability that the number of cars arriving at the intersection in 1 hour is between 70 and 130.
Variable with probability density function : Let X be a random variable with probability density function 630x4(1 - x)4, 0 1,f(x) = 0, otherwise.
Test the hypothesis that choice of major : Test the hypothesis that the choice of the major by undergraduate students in this university is independent of their gender. Use α = 0.01.
Opinion on collective bargaining by teachers : The following table gives the opinion on collective bargaining by a random sample of 200 employees of a school system, belonging to a teachers' union.
Determining the normal distribution : Assuming that the samples come from a normal distribution: Test that the mean SAT score for math in 1999 is greater than that in 1989 at α = 0.05. Assume the variances are equal.
What is the total liquid and vapor flow rates : Determine whether this processes is a stripping process or an absorption process and what is the total liquid and vapor flow rates at the entrance and exit of the tower?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Approximately 29 of the calls to an airline reservation

approximately 29 of the calls to an airline reservation phone line result in a reservation being made.a suppose that an

  Calculate probability that less newspapers are sold

The number of newspapers sold daily at a kiosk is normally distributed with a mean of 300 and a standard deviation of 30. Calculate the probability that less than 250 newspapers are sold on a particular day.

  Using all possible predictors select a model using forward

the data in this question come from from sen and srivastava exercise 2.12 2 and can be used to model car ownership

  Compute the test statistic and indicate your decision

question the mean life of a battery used in a digital clock is 305 days. the lives of the batteries follow the normal

  Determine the upper and the lower control limits

A production process that is in control has a mean (m) of 80 and a standard deviation (s) of 10. Determine the upper and the lower control limits for sample sizes of 25

  Create simple frequency distribution table using raw data

The data comes from a set of scores on a 50 point Bilogy 101 test. 90 subjects took the test. The scores range from 12-50. How to make a simple frequency distribution table, using the raw data?

  A birth is selected at random define events b the baby is

a birth is selected at random. define events b the baby is a boy and f the mother had the flu during her pregnancy.

  Five fabric samples were selected and a randomized complete

perform the two anova tests. include the anova table and an explanation of your results. be sure to write full

  Test the hypothesis that two variances are equal

For the samples summarized below, test the hypothesis that the two variances are equal, at α = 0.05

  Based on these data the lower limit for the difference

the ncaa is interested in estimating the difference in mean number of daily training hours for men and women athletes

  Suppose 1568 of 2033 registered voters sampled said they

suppose 1568 of 2033 registered voters sampled said they planned to vote for the republican candidate for president.

  Suppose random poll of 632 likely voters in alabama found

suppose random poll of 632 likely voters in alabama found that 373 feel that daylight savings time should be abolished.

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