#### Generating Geometric distributions using induction

I need assistance with the attached problem. It requires me to show that a given algorithm generates the geometric distribution. Please see the attached document for details. Show that the following algorithm is valid for generating X -- geom(p) 1. Ler i=0. 2. Generate (please see the atta...

#### Probability for Apartment Building

Please complete answer/steps/explanation for the following: 2.7.11. An apartment building has eight floors. If seven people get on the elevator on the first floor, what is the probability they all want to get off on different floors? On the same floor? What assumption are you making? Does it seem...

#### Probability of winning \$10

A fast-food chain is running a new promotion. For each purchase, a customer is given a game card that may win \$10. The company claims that the probability of a person winning at least once in five tries is 0.32. What is the probability that a customer wins \$10 on his or her first purchase?

#### Poisson Distribution and MVUE.

1. Let -- be a random sample from the Poisson distribution with pmf --. Find the MVUE of --- using the following three steps. a) Find the complete sufficient statistic Y_1 for --. b) Show that -- is an unbiased estimator of -- where I is the indicator function. c) Find the MVUE of -- by the cond...

#### Random variable with exponential distribution

Please see the attachment for the full problem description. 1. A single observation of a random variable having an exponential distribution with ---- If the null hypothesis is accepted if and only if the observed value of the random variable is less than 3. a) Find the probabilities of Type...

#### probability for telecommunication problem

You are assigned to be part of a team of three analysts of a global management consulting company where of the entire work force of analysts. 55% have had no experience in telecommunications, 32 have had limited experience (less than 5 years) and the rest have had extensive experience ( 5 years or m...

Facebook reports that 70% of their users are from outside the United States and that 50% of their users log onto the Facebook everyday. Suppose that 20% of their users are United States users who log on every day. 1. What percentage of Facebook users are from the United States? 2. What type of p...

#### Probabilities: Online Police Department, Excite Poll

3. The Online police department was asked by the mayor's office to estimate the cost of crime to citizens of Online. The police began their study with the crime of identity theft, taking a random sample of files (there is too much crime to calculate the statistics for all the crimes committed). Th...

#### Men's Average Weight Questions

Data from a National Health Survey show that men's average weight is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds. a. If a man is chosen at random, what is the probability that his weight is greater than 180 pounds? b. If 100 men are randomly selecte...

#### Average Stock Prices for Companies

The average stock price for companies making up the s&p 500 is \$30, and the standard deviation is \$8.20. assume the stock prices are normally distributed. a. what is the probability a company will have a stock price of at least \$40? b. what is the probability a company will have a stock price fo...

#### Probabilities Standard Normal Variables

1. Given that z is a standard normal variable, compute the following probabilities a. p(z less than or equal to -1.0) b. p(z is greater than or equal to 1) c. p( z is greater than or equal to - 1.5) d. p(-2.5 less than or equal to z) e. p(-3 < z is less than or equal to 0) f. p(-1.98 less than...

#### Probability calculation based on Z score

Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fill of 50 gallons, while the fills have a standard deviation known to be .6 gallon. Suppose that the mean fill for the shipment is actually 50 gallons. If a random sample...

#### find probability based on Joint Density Function

Looking to see how the answer is derived. Suppose that X and Y are independent each with exponential distribution with parameter = 3. Joint Density Function = 9(e^-3x)x(e^-3y) for x>0 and y>0. Find (a) P(X + 2Y <,= 2); (b) P(X + Y <,= 2); and (c) P(X - Y <,= 2). <,= represents less than...

#### Probability Distribution of Random Variables of X

The probability distribution for the random variable x is as follows x is 20 25 30 35 f(x) is .20 .15 .25 .40 a. Is this probability distribution valid? Explain. b. What is the probability that x=30? c. What is the probability that x is less than or equal to 25? d. What is the probability ...

#### Find probability using z score

Suppose that the net interest margins for all U.S. banks are normally distrubuted with a mean of 4.15 percent and a standard deviation of .5 percent. 1. What is the probability that a randomly selected U.S.bank will have a net interest margin less than 4.40 percent?

#### total probability from Binomial Distribution

The GMAT scores of MBA students is assumed to be distributed normally with a mean of 530 and a standard deviation of 80. The GMAT scores of ten students are selected randomly. What is the probability that at least 7 of the 10 students have SAT scores in excess of 550?

#### Group 6 and Group 7 Statistics Questions

Please answer the questions listed below (see attachment for formatted questions): Group 6 Airlines sometimes overbook flights (that is, they sell more tickets than there are seats on the plane). Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable X ...

#### Probability

Fluctuation in the prices of precious metals such as gold have been empirically shown to be well approximated by a normal distribution when observed over short interval of time. In May 1995, the daily price of gold (1 troy ounce) was believed to have a mean of \$383 and a standard deviation of \$12. A...

#### T-Distributions with Excel Formulas

Please help with the following problem. For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.) To the right of 2.120. (Use 3 decimals.) __________ b.) To the left of 1.337. (Use 2 decimals.) __________ c.) To the left of -1.746. (Use 2 ...

#### Normal random variable

A drug company believes that the annual demand for a drug will follow a normal random variable with a mean of 900 pounds and a standard deviation of 60 pounds. If the company produces 1000 pounds of the drug, what is the chance (rounded to the nearest hundredth) that it will run out of the drug? Ass...

#### Probability Statistics Problem

Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who test positive for the disease has a 99% chance of actually having the disease, while a person who test negative for the disease has a 99% chance of not having the disease. ...

#### Joint Probability Table

Health Insurance (Proportion of Population) Yes No Age 18 to 34 750 170 35 and older 950 130 a. Develop a joint probability table for these data and use the table to answer the remaining ...