Random variable following the binomial distribution

Assignment Help Basic Statistics
Reference no: EM13104738

Safeway stocks national brands of coffee, as well as its own house brand. Consider a single randomly selected customer purchasing coffee and let "success" = the customer purchases a national brand. Assume p = 0.75, and that customers make coffee purchase decisions independently of one another. Also, assume that X = number among 20 randomly selected coffee purchasers who select a national brand, and that the random variable X follows the binomial distribution.

a. What is the probably that at most 15 customers choose a national brand?

b. What is the probability that exactly 15 customers choose a national brand?

c. What is the probability that at least 12 customers select a national brand?

d. Calculate the mean (i.e., the expected value) and the variance of the random variable X.

Reference no: EM13104738

Questions Cloud

Model of perfect competition : Explain the assumptions behind the model of perfect competition and explain the sources of the recent housing price "bubble"? Provide a chart if needed?
Explain factors contributed to americanization of africans : Explain factors which contributed to Americanization of Africans and institutions which developed in African American community. Choose and explain four African American's active in black church.
Determining confidence interval for mean difference : A fabric manufacturer wants to know how large an advantage in strength fabrics treated by the Permafresh method have over the fabrics treated by the Hylite process. Give a 90% confidence interval for the difference in mean breaking strengths.
Designing the container for the workstation : Your plant manager has decided to streamline production so as to reduce WIP (Work-in-process) inventory. However she does not want this reduced WIP to cause 'starvation' of workstations.
Random variable following the binomial distribution : Also, assume that X = number among 20 randomly selected coffee purchasers who select a national brand, and that the random variable X follows the binomial distribution.
What is proton kinetic energy at the later time : A proton accelerates from rest in a uniform electric field of 675 N/C. At some later time, its speed is 1.35 106 m/s. (a) Find the magnitude of the acceleration of the proton.
Use the equations of motion with constant acceleration : An electron is accelerated by a constant electric field of magnitude 325 N/C. (a) Find the acceleration of the electron. m/s2 (b) Use the equations of motion with constant acceleration to find the electron's speed after 9.00 10-9 s, assuming it st..
Determining sample size and margin of error : An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by the local dealer. The customer relations department will survey a random sample of customers and compute a 99% confidence..
How were slaves involved in the new england economy : How were slaves involved in the New England economy in the 17th and 18th centuries and biotech is just one of several up and coming industries in Massachusetts. Give some reasons that Biotech has clustered here and what are some other industries t..

Reviews

Write a Review

Basic Statistics Questions & Answers

  Explaining probability distribution of data

Explain probability distribution of X (name and parameters).

  Relationship between age group using level of significance

At 0.05 level of significance, is there evidence of significant relationship between age group and where people mainly get their news? If so, describe the relationship.

  Regression analysis-real data

There is thought to be a relationship between a persons' educational attainment and the number of children he or she has. The hypothesis is that as one's educational level increases, he or she has fewer children.

  Hypothesis test-confidence interval mean by t distribution

Calculate separate confidence intervals for the numbers of days absent for Clinic A and Clinic B, respectively.

  Information about statistics-linear programming

Biggio's Department Store has six employees available to assign to four departments in the store: home furnishings, china, appliances, and jewelry.

  Determine normal approximation to binomial distribution

The KW water is provided to approximately 750,000 people, who are served through more than 362,000 accounts. All accounts are metered and billed monthly.

  Proportion of seeds germinate depend on seed type

At.01 level of significance, is proportion of seeds which germinate dependent on seed type?

  Test at a suitable significant level

To see if his belief is substantiated, conduct the test at a suitable significant level. State the assumptions made. see if his belief is substantiated, conduct the test at a suitable significant level. State the assumptions made.

  Benefit for amount of money spent

While it can't be denied that advertising impacts sales, it is also true that advertising is expensive and companies want to advertise in ways that have the greatest benefit for the amount of money spent.

  Standard deviation of grouped frequency data

The following frequency table summarizes the ages of 100 shoppers at the local grocery store. Compute the sample variance and standard deviation for this data set. Please show your work in Excel.

  Significance differences among the population mean

Using α = .05 test for significance differences among the population mean wasted time for theses three urban areas. What is the p-value? What is your conclusion?

  Probability related to automatic filling machine

10 cartons are taken at random from an automatic filling machine.The mean net weight of the carton is11.8 kg and standard deviation of 0.15kg. Does the sample mean differ significantly from the intended weight of 12kgs?

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