Use the central limit theorem to estimate

Assignment Help Basic Statistics

Reference no: EM131084283

Telephone calls can be classified as voice (V) if someone is speaking, or data (D) if there is a modem or fax transmission. Based on a lot of observations taken by the telephone company, we have the following probability model: P[V] = 0.8, P[D] = 0.2. Data calls and voice calls occur independently of one another. The random variable Kn is the number of data calls in a collection of n phone calls.

(a) What is E[K₁₀₀], the expected number of voice calls in a set of 100 calls?

(b) What is σK₁₀₀, the standard deviation of the number of voice calls in a set of 100 calls?

(c) Use the central limit theorem to estimate P[K100 ≥ 18], the probability of at least 18 voice calls in a set of 100 calls.

(d) Use the central limit theorem to estimate P[16 ≤ K₁₀₀ ≤ 24], the probability of between 16 and 24 voice calls in a set of 100 calls.

Reference no: EM131084283

Questions Cloud

Common in commercial real estate : Your firm has taken out a $536,000 loan with 8.2% APR (compounded monthly) for some commercial property. As is common in commercial real estate, the loan is a 5-year loan based on a 15-year amortization. To do this, you will make 59 equal payments ba..

Question regarding the dieting and exercising : If you are age 25 and over, share your experiences (good, bad and ugly) with dieting and exercising. What's worked for you? What hasn't? Have you tried anything crazy?

Familiar with some contemporary artists : The purpose of this project is to become familiar with some contemporary artists, with an emphasis on Canadian artists (the majority of artists on this list is Canadian) to help balance the more American-based selections of our textbook.

Ensure the effectiveness of your report : There is an example recommendation report that includes all of the required sections beginning on page 362 of yourtextbook. As you edit your work, use the "Writer's Checklist" on page 384 in the textbook to ensure the effectiveness ofyour report.

Use the central limit theorem to estimate : Telephone calls can be classified as voice (V) if someone is speaking, or data (D) if there is a modem or fax transmission. Based on a lot of observations taken by the telephone company, we have the following probability model:

Describe the current phenomenon of missionary movements : After reading Winter & Hawthorne, chs. 56-61, describe the current phenomenon of missionary movements from the non-Western world. What are the advantages and difficulties for non-Western missionaries?

What is the firms breakeven point in units : Cranberry woods spends an average of $9.30 in labor and $12.60 in materials on every unit it sells. sales commissions and shipping amount to another $3.10. all other cost are fixed and add up to 136,000 per month. what's is cranberry's contribution? ..

What would the risk-free rate : Stock Y has a beta of 0.8 and an expected return of 8.2 percent. Stock Z has a beta of 0.9 and an expected return of 8 percent. What would the risk-free rate have to be for the two stocks to be correctly priced relative to each other?

How many such numbers are there : A classy social security number? Use the digits 1 through 9 once only to form a nine-digit number such that the first (leftmost) 8 digits form a number divisible by 8, the first 7 digits form a number divisible by 7, and so on. How many such numbe..

User Account

All Pages