Wheather the event is a binomial random variable

Reference no: EM131764104

Question: 1 in 6 wins As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap. Some of the caps said, "Please try again," while others said, "You're a winner!" The company advertised the promotion with the slogan "1 in 6 wins a prize." Suppose the company is telling the truth and that every 20-ounce bottle of soda it fills has a 1-in-6 chance of being a winner. Seven friends each buy one 20-ounce bottle of the soda at a local convenience store. Let X = the number who win a prize.

(a) Explain why X is a binomial random variable.

(b) Find the mean and standard deviation of X. Interpret each value in context.

(c) The store clerk is surprised when three of the friends win a prize. Is this group of friends just lucky, or is the company's 1-in-6 claim inaccurate? Compute P(X ≥ 3) and use the result to justify your answer.

Reference no: EM131764104

Questions Cloud

What is personal selling : Define creating value according to our textbook Specially address CVP and the Personal Value Equation).What is personal selling?

Plasmid has the sequence ggaattcc : If a restriction site in a circular plasmid has the sequence GGAATTCC, and the endonucleas cuts between A and A, how many unpaired bases will occur

Complete a loan application form : Complete a loan application form (an ANZ loan application form has been provided for you which you must use) and complete all of the accompanying documents

Short-acting and long-acting insulin : What is the difference between short-acting and long-acting insulin? Explain your response?

Wheather the event is a binomial random variable : 1 in 6 wins As a special promotion for its 20-ounce bottles of soda, a soft drink company printed a message on the inside of each cap.

Discuss delinquent taxpayer who owed the city : It initiates foreclosure proceedings against the delinquent taxpayer who owed the city

Discuss accumulated depreciation and net ppe : How are these values changing from year to year: PPE, Accumulated Depreciation, and Net PPE

Design and develop a website : COIT 20268 - Responsive Web Design (RWD) Portfolio and Practical Assignment. Design and develop a website. Visualize the page design for your site

Compare and contrast the three different vendors : Compare and contrast the three different vendors. Be sure to consider the services, data solutions, and security features they provide.

User Account

All Pages