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(1) Find the probability that the elevator will be overloaded if 16 people are in the elevator. (2) How many passengers would you recommend if you wanted to be sure that the overloading probability is less than 0.001?

An elevator has a design capacity of 2,560 pounds and a posted limit of 16 passengers. The weight of adults is approximately normal with a mean of 150 pounds and standard deviation of 20 pounds. Find the probability that the elevator will be overloaded if 16 people are in the elevator. How many passengers would you recommend

Probability Calculations for JENN Inc.

JENN Inc. supplies under-hood emission control air pumps to the automative industry. The pump is vacuum-powered and works while the engine is operating., cleaning the exhaust by pumping extra oxygen into the exhaust system. If a pump fails before the vehicle in which it is installed has travelled 50,000 miles, Federal emission r

Statistics and Process Capability : LSL, USL and CpK

A data set contains 16 measurements as follows: 1525; 1561; 1541; 1532; 1499; 1551; 1554; 1528; 1514; 1548; 1534; 1505; 1500; 1538; 1529; 1519 the calculated mean = 1530 and the calculated std deviation = 19 The USL and LSL are respectively 1560 and 1510 and I therefore derive a CpK = 0.526 I know how to derive the n

Discrete and Continuious Probability Distribution Practice Problems

5.3 Used the binomial distribution table to callculate the following probabilites for a binomial random variable where n = 20 and p = 0.40 a. p(x = 10) b. p(7< x <12) c. P(x &#8805; 12) 5.29 If &#955; = 5 and t=2 for a Poisson distribution, a. Determine the mean and standard deviation of this Poisson ditribution b. W

Probability Distribution - E-mail Potential Acquisition

E-mail Potential Acquisition You've done a great job so far, but we need you to investigate another situation. BankTen is considering an acquisition and has narrowed the possibilities to three companies. All three of these acquisitions are ongoing businesses with a profit stream and can be acquired for about the same amount o

Probability of selling life insurance

1. The probability that a life insurance salesperson following up a magazine lead will make a sale is 30%. A salesperson has two leads on a certain day. What is the probability that the salesperson will sell: a. Both b. Exactly one policy c. at least one policy

Continuous Probability Distribution at Hydronics Company

DATA ATTACHED The Hydronics Company is in the business of developing health supplements. Recently, the company's R&D department came up with two weight-loss plans that included products produced by Hydroniccs. To determine whether these products are effective, the company has conducted a test. A total of 300 people who eac

Discrete and Continuous Probability Distributions

East-West Translations publishes textbooks of ancient Oriental teachings for English-speaking universities. The company currently is testing a computer-based translation service. Because Oriental symbols are difficult to translate, East-West assumes the computer program will make some errors, but then so do human translators.

Discrete Probability Distributions Gateway 2000 Inc.

5.18 Gateway 2000, Inc., receives large shipments of microprocessors from Intel Corp. It must try to ensure that the proportion of microprocessors that are defective is small. Suppose Gateway decides to test five microprocessors out of a shipment of thousands of them. Suppose that if at least one of the microprocessors is de

Probability Distribution and Probability

The Seremonte Emergency Medical Department has recorded the number of emergency calls received each day for the past 200 days. These data are shown in the this frequency distribution: Calls Number of Days 0 22 1 20 2 40 3 558 4 28 5 20 6 5 7 10 a. Determine the probability of distribution

Introduction to Probability Distributions

Four possible prizes are being awarded by a real estgat developer to people who will look at new property. The prizes are being awarded based on a blind drawing with the following probability distribution: x P(x) $ 10 0.80 $ 20 0.10 $ 100 0.08 $ 1000 0.02 a What is the expected prize award? b What is the stan

Introduction to Probability Distribution

A Courtyard Hotel by Marriott conducted a survey of its guests. Sixty-two surveyors were completed. Based upon the data from the survey, (see attached) determine the following: a) Two customers are selected. What is the probability that both will be on a business trip? b) What is the probability that a customer will be on

Using Probability and Probability Distribution

You are given the following: A B C D 100 150 50 E 600 150 150 F 300 300 300 a) What is the probability of event A? b) What is the probability of event A and B? c) What is the probability of event B and F? d) What is the probability of event E given that event A has occurred? e) What

The Rules of Probability

#1 A manager of a gasoline filling station is thinking about a promotion that she hopes will bring in more business to the full-service island. She is considering the option that when a customer requests a fill-up, if the pump stops with the dollar amount at $9.99, the customer will get the gasoline free. Previous studies show

Creating a Decision Tree in Excel

Management at Canron, a switch maker, is confronting a problem of determining whether or not to develop a new ultra power optical switch. The research and development costs of developing such a switch is estimated to be $25 million. If the company goes ahead with the R&D and develops the switch, a crucial issue is whether or not

Microprocessors Probability Statistics

1. Gateway 2000, Inc., receives large shipments of microprocessors from Intel Corp. It must try to ensure that the portion of microprocessors that are defective is small. Suppose Gateway decided to test five microprocessors out of shipment of thousands them. Suppose that if at least one of the microprocessor is defective, the

Construct a Contingency Table

Question 1 The table below contains the opinions of a sample of 200 people (broken down by gender) about the latest congressional plan to fund abortion clinics. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 Find the probability that a randomly selected a)person would be

The solution discusses the sample space and probabilities of die

Question 3 An experiment consists of rolling one die. Let A be event that the die shows more than one, B be event that the die shows more than 4, and C be event that die shows an even number. a) List the sample space of this experiment. b) Find P(A), P(B), P(C) c) Find P(A or C), P(A or B), P(A and C), P(B and C) d) A

Statistics multiple choice questions

1. A city had an average of 2.6 lightning storms per month. What is the probability of at least 3 lightning storms during a month? A. 12.26% B. 21.76 % C. 26.40% D. 48.16% E. none of the above 2. If the number of miles per gallon (mpg) achieved by cars of a particular model has a mean of 25 and a standard devia

Joint probability density function problem

Let X1 and X2 denote the proportion of two different chemicals found in a sample mixture of chemicals and used as an insecticide. Suppose X1 and X2 have the joint probability density function given by: f(x) = { 2 0 <= x1 <= 1, 0 <= x2 <= 1, 0 <= x1+x2 <= 1 0 otherwise} Let Y = X1 + X2, that is the to

Linear Programming

You are given the choice of three doors. Behind one is a new car and the others hide a barnyard animal for you to keep. After you choose door number one, your host (Monty) opens door three to reveal a goat. He then asks you if you would like to switch to door two. Has the probability of success gone from 1/3 to 1/2 and then s

Mutually Exclusive

The events A and B are mutually exclusive. Suppose P(A)=0.30 and P(B)=0.40. What is the probability of either A or B occurring? what is the compliment of event A? What is the meaning?

Flip a Quarter

1. A person flips a quarter, dime, and nickel. Let x be the number of tails. Complete this probability distribution table. X 0 1 2 3 P(x) 2. For the following normal distribution problems find the indicated values. Include a sketch of the appropriate area with each answer. The area to the left of z = 1.25 The are

Statistics and probability

If there are 20 people in the room, 12 men and 8 women, what is the probability of picking two people, without replacement, getting a woman on the first and a man on the second? Explain what rule of probability applies, show it, and show the numbers that apply to the problem.

Normal distribution and probability

A portfolio manager believes that tomorrow's foreign exchange rate of German marks per US dollar will be Normally distributed with mean 2.03 and standard deviation 0.08. Using the manager's numbers: 1. what is the probability that tomorrow's rate will be above 2.08? 2. what is the probably that tomorrow's rate will be below


True/False Indicate whether the sentence or statement is true or false. Question 1 Management science involves the philosophy of approaching a problem in a subjective manner. Question 2 Once management scientist makes his or her decision and recommendation to management, then typically, his or her involvement with the

Hiring of Workers Probability

Estimation of workers to be hired during 3 month period: # to be hired Probability ___________ _________ 0 5% 1 10% 2 15% 3 20% 4 3