What is the probability that miss rain got the job

Reference no: EM132556

QUESTION 1

(a) Mr Hail, Miss Rain and Mrs Snow all apply for a job as a park keeper. Whoever one gets the job, will have to open the gates of the park at 5.30am. If Mr Hail gets the job, he will only open the gates on time one third of the time. If Miss Rain gets the job, she will only open the gates on time half of the time. Mrs Snow is an insomniac and thus she will always open the gates punctually. Given that Mr Hail has a 50% chance of getting the job and that Miss Rain and Mrs Snow have a 30% and 20% chance respectively of getting the job

i What is the probability that the park gates will be opened on time?

ii If the gates are opened on time, what is the probability that Miss Rain got the job?

(b) Historical records of rainstorms in a town indicate that on the average there are three rainstorms per year. Assuming that the occurrence of rainstorms follows a Poisson distribution what is the probability that-

i There are no rainstorms next year

ii There are exactly three rainstorms during the next two years

iii There are at least two rainstorms next year

iv There are at least two rainstorms next year, but none the year after?

(c) Use the normal approximation to the Poisson distribution to calculate the approximate probability that in the town mentioned in part (b) above-

i There will be at least forty rainstorms during the next twelve years,

ii There will be no more than fifty-five rainstorms in the next twenty years

Reference no: EM132556

Questions Cloud

Very satisfied or satisfied with the course : What is the probability that someone selected at random from the group is Very satisfied with the course. Very satisfied or satisfied with the course.

Outline the key steps that management must conduct : Outline the key steps that management must conduct and set in place with a view towards the implementation and certification to QMS ISO 9001:2008

The iso 9000 series of standards is generic in scope : The new Minister of Health wants to improve service delivery in the public hospitals and wants to implement ISO standards. What are the benefits of ISO Registration. The ISO 9000 series of standards is generic in scope. Briefly describe the thre..

Explain relationships among an organisation and its supplier : The nature of relationships between an organisation and its supplier has changed from Transactional' to ‘Mutual Explain the above mentioned statement.

What is the probability that miss rain got the job : What is the probability that the park gates will be opened on time. ii If the gates are opened on time, what is the probability that Miss Rain got the job.

What are the major barriers to good communication : What are the major barriers to good communication. As a manager, how would you overcome these barriers. Briefly define and describe the process of Performance Management.

Give an overview of psychotherapy : Read the text carefully and answer the following questions. Give an overview of Psychotherapy. How does the behavioural therapists help in modifying the problem behaviours, and what are the techniques applied by them to achieve mental health.

Purchasing strategy and strategic purchasing : Differentiate between purchasing strategy and strategic purchasing World class purchasing is not only about placing orders. Describe the strategic role of the purchasing function in an organization.

What is life cycle costing : What is Life Cycle Costing. Describe briefly the methodology for Life Cycle Costing. What are the criteria to consider when a procurement officer is faced with the decision of procuring a used equipment instead of a new one.

User Account

All Pages