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Determining Probability

1. In the National Weekly Edition of the Washington Post (December 19-25, 2005), firstStreet, Inc. advertised an atomic digital watch from LaCrosse Technology. It is radio-controlled and maintains its accuracy by reading a radio signal from a WWVB radio signal from Colorado. It neither loses nor gains a second in 20 million year


An automatic machine inserts mixed vegetables into a plastic bag. Past experience shows that some packages were underweight and some were overweight, but most of them had satisfactory weight. Weight Percentage of Total Underweight 2.5 Satisfactory 90.0 Overweight

QMTH 205Lab 3:Probability Distribution & Interval Estimation

See attached files. QMTH 205 Lab 3: Probability Distribution and Interval Estimation Purpose: Students will learn (1) how to make a table of standard normal distribution; (2) how to use Excel to select a simple random sample; (3) how to use Excel built-in functions and procedures to estimate population mean and population

Statistics: Joint probabilty with coins and die

A die is rolled and the number observed X is recorded. Then a coin is tossed number of times equal to the value of X . For example if X = 2 then the coin is tossed twice, etc. Let Y be the number of heads observed. Note: Assume that the die and the coin are fair. What is the joint probability mass function of X and Y? What i

Weather forecast predicts May rainfall will be three to six inches

A weather forecaster predicts that the May rainfall in a local area will be between three and six inches but has no idea where within the interval the amount will be. Let x be the amount of May rainfall in the local area, and assume that x is uniformly distributed over the interval three to six inches. a. Write the formula fo

Decision Tree Analysis for Caribbean bank, power generator

The management of a bank in the Caribbean was concerned about the potential loss that might occur in the event of a hurricane. The bank estimated that the loss from one of these storms could be as much as $100 million including losses due to interrupted service and customer relations. One project the bank is considering is

5 Statistics Problems: Normal Probability, Samples, and Confidence Intervals

1- Surveying all drug stores in the Boston area, it was found that the average cost of a chocolate mint frappe is $30.50. The cost of a mint frappe population is normally distributed, with a standard deviation of $0.50. If I select a drug store in the Boston area randomly, what is the probability that the cost of is chocolate mi

Probabilities for Loan Authorization

7% of the loans authorized by the branch manager of a local bank each month will never be repaid. You will be asked to identify the probability of success (p), the mean, and the standard deviation of the loans that will not be repaid assuming 35 were authorized during the month.

Solving puzzles; inspecting computer shipments

A multi choice exam offers 4 choices for each question. Jason guesses the answers, so he has a probability 1/4 of getting any one question correct. 1) What is the expected number of right answers Jason will get if the test has 20 questions? Data on number of puzzles solved by a person are as follows: Puzzles solved:

Probability of randomly selected family

Select an American family randomly and count the number of people it contains. Here is the assignment of probabilities for your outcome: Number of persons: 2 3 4 5 6 7 Probability: 0.42 0.23 0.21 0.09 0.03 0.02 1) What is the probability th

Insured value of homes follows a certain distribution

1. An insurance company insures a large number of homes. The insured value, X, of a randomly selected home is assumed to follow a distribution with density function f(x) = 3x^-4, x > 1. Given a randomly selected is insured for at least 1.5, what is the probability that it is insured for less than 2.

Statistics: Find Theta and Probability

1. Let X have the pdf f(x) = (3x^2)/(Theta^3), 0 < x < Theta. If P ( X > 1) = 7/8, find Theta. 2. If X has a continuous uniform distribution on the interval from 0 to 10, then find P [X+(10/X)>7]

Probability Calculations Analysis

A TV show, DOG and CAT, recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to that show. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 9 households having TV sets in use at the time of a GOD and CAT broadcast: - Find


In a region, 20% of the population has brown eyes. If 15 people are randomly selected, find the probability that at least 13 of them have brown eyes. Is it unusual to randomly select 15 people and find that at least 13 of them have brown eyes? - The probability at least 13 of 15 have brown eyes = ____ (three decimal places


An insurance company charges a 21 year old male a premium of $250 for a one year $100,000 life insurance policy. A 21 year old male has a 0.9985 probability of living for a year. From the perspective of a 21 year old male (or his estate), what are the values of the two different outcomes The value if he lives is $_______ T


Based on data from a car bumper sticker study, when a car is randomly selected, the number of bumber stickers and corresponding probabilities are shown below. 0 (0.794) 1 (0.099) 2 (0.041) 3 (0.015) 4 (0.014) 5 (0.012) 6 (0.008) 7 (0.006) 8 (0.006) 9 (0.005) Does the given info describe a probability distribution

Normally distributed output: What is true about the mean of the process?

A process when in control produces a normally distributed output with a mean of 200 and a range of 20. Ten samples of 20 each yield the following means and ranges. Sample 1 2 3 4 5 6 7 8 9 10 X-Bar 200 202 201 204 203 203 201 201 202 201 Range 19.0 20.0 20.2 20.7 19.0 21.1 19.0 20.1 20.3 21.7 Which of the following is mos

Normal Probability: Guarantee Period of Printers

Quality control studies for Leaky Jet Computer Printers show the lifetime of the printer follows a normal distribution with a mean of 4.5 years and a standard deviation of 0.85 years. The company will replace any printer that fails during the guarantee period. How long should Leaky Jet Printers be guaranteed if the company wis

Probability, mean, variance, standard deviation,

Please solve in Excel only. 1. The Penguin Company employs 400 men and 100 women. Of the male employees, 280 work in the plant, 40 are in the office, and 80 are field salesmen. The female employees are distributed as follows: 20 to the plant, 50 to the office, and 30 to the sales. If the CEO, Stephanie, randomly selects an

Statistics: Probability distribution, random variable, Poisson distribution

1. Compute the following and show your steps. 3! ÷ (0!*3!) 2. Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club memb


If a couple were planning to have three children, the sample space summarizing the gender outcomes would be: bbb,bbg,bgb,bgg,gbb,gbg,ggb,ggg: 1. Construct a similar sample space for the possible gender outcomes (using b for boy a g for girl) of two children? 2. Assuming that the outcomes listed in part 1 were equally likel

Probability of baby girls in a test of a gender selection

In a test of a gender-selection technique, results consisted of 261 baby girls and 16 baby boys. Based on this result, what is the probability a girl born to a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

Exponential Probability and Confidence Interval of a Policy

At a maintenance facility the standard policy with respect to the replenishment of a particular fluid is: When the amount of fluid remaining drops to 100 litres a replenishment order is placed and during the time the replenishment is on order the demand is exponential with 1/lambda = 80 litres a. What is the probability th

Classify as dependent or independent occurrences

Classify as dependent or independent (if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent)? Randomly selecting a city in Texas Randomly selecting a county in Texas Is it - 2 events are independent because the occurence of one

Bay's Theorem: Smoking Cigar

In a county, 53% of adults are male. One adult is randomly selected for a survey involving credit card usage. 1) find the prior probability that the selected person is a female? P (female) = ______ (integer or decimal) 2) It is later learned that the selected survey subject was smoking a cigar. Also, 8.7% of males smo


A research center poll showed 80% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is ____ (integer or decimal)