Find the cumulative distribution function

Reference no: EM131370748

In given problem, suppose that a cost is imposed of an amount equal to the square of the number of additional hours of sleep. What is the expected cost? Explain.

Problem
According to an article in Travel and Leisure, every person in a small study of sleep during vacation was found to sleep longer than average during the first vacation night.1 Suppose that the number of additional hours slept in the first night of a vacation, over the person's average number slept per night, is given by the following probability distribution:

x	P(x)
0	0.01
1	0.09
2	0.30
3	0.20
4	0.20
5	0.10
6	0.10

a. Verify that P(x) is a probability distribution.

b. Find the cumulative distribution function.

c. Find the probability that at most four additional hours are slept.

d. Find the probability that at least two additional hours are slept per night.

Reference no: EM131370748

Questions Cloud

My assignment deals with grocery expenses : My assignment deals with grocery expenses. Is your dollar buying less each month at the grocery store? What are some factors which influence changing grocery store expenses? What are some ways you try to save money at the grocery store?

Explaining why blindness is an important metaphor : Write an essay explaining why blindness is an important metaphor in the play "A Streetcar Named Desire".

Is the method employed two-stage cluster sampling : The 42 ships belong to 12 cruise ship companies. Each company has its own characteristics in terms of price, luxury, services, and type of passengers. Suggest an alternative sampling method, and explain its benefits.

You think the private restrictions raise legal concerns : Some providers and clinics limit access to ARTs based on marital status, sexual orientation, age, and other factors that are arguably wholly or partially social in nature. Some countries use similar restrictions as a matter of law. Do you think the p..

Find the cumulative distribution function : Find the cumulative distribution function.- Find the probability that at most four additional hours are slept.- Find the probability that at least two additional hours are slept per night.

What skills did you already have to help in the situation : Connect ideas within the week readings into your personal experiences at work. In your entry:Assess your dispute resolution skills in relationship to the concepts in the course readings.Describe a situation at work that required you to think and/or i..

Analyzing essays that offer solutions to problems : Discussion - "Analyzing Essays that Offer Solutions to Problems". Identify which one you think is most effective. Explain

Determine the first item to be sampled : Use randomization to determine the first item to be sampled, and give the rule for obtaining the rest of the sample in this case.

What is the budgeted cost for student advising for june : If Kingston State University uses the discretionary-cost method to implement cost SBU's, what is the budgeted cost for Student Advising for June?

User Account

All Pages