#### Airplane Safety: Probability Analysis

Airplane Safety: Suppose that 62% of all adults think that airplanes would be safer places if pilots carried guns. An opinion poll plans to ask an SRS of 1009 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if pilots carried guns will vary if we tak...

#### Probability Example Questions

1. A box contains four tickets, one marked with a star and the other three blank. One draw is made from this box at random. a. What does "at random" mean? b. What is the random variable in this experiment? c. Write the probability model corresponding to this random variable. Expl...

#### Probability/Reliability/Graph Hazard

A particular product is known to have an exponential failure time distribution with a mean of 12 months. a. Find the probability it will fail in less than 9 months. b. What is the reliability at 15 months? c. Determine and graph the hazard rate for this product.

#### Finding probability questions

1. According to a Gallup Poll conducted March 5-7, 2001, 52% of American adults think that protecting the environment should be given priority over developing US energy supplies, 36% think developing energy supplies is more important, and 6% believe the two are equally important. The rest have no op...

#### Switch or Stick Question

A number of years ago, there was a popular television game show called Let's Make a Deal. The host Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and would then be offered...

#### Computing Probability - Rules of Probability

An insurance agent has appointments with four prospective clients tomorrow. From past experience, the agent knows that the probability of making a sale on any appointment is 1 out of 5. Using the rules of probablitlity, what is the likelihood that the agent will sell a policy to 3 of the 4 prospecti...

#### Probability and Statistics: Coin Flipping Project

The project below involves using a computer simulator to virtually flip multiple coins. First, we'll flip 4 coins 20 times, then we'll flip 4 coins 10000 times. I have taken screenshots of my results with the coin-flipper (attached) but need some help with the questions. Questions for flippin...

#### Statistics Problem Set: Colds and Exercise

18. Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty-five people who did no exercising had colds, and the remainder of the people with colds were involved in a weekly exercise program. Half of the 1,000 employees were involved in some type of exer...

#### Case: Let's Make a Deal.

A number of years ago, there was a popular television game show called Let's Make a Deal. The host, Monty Hall, would randomly select contestants from the audience and, as the title suggests, he would make deals for prizes. Contestants would be given relatively modest prizes and then would be offere...

#### Detection and Estimation

Suppose you have a coin and you want to test two hypotheses: H0: the coin is fair (that is, you get a head with probability p = 0.5 and a tail with the same) and H1: the coin is unfair and has probability p > 05 for a head and (1-p) for a tail. Assume p is known. Explain in detail what the optim...

#### Weston Materials - Probability Analysis

The accounting department at Weston Materials Inc a national manufacturer of unattached garages, report that it takes two construction workers a mean of 32 hours and a standard deviation of 2 hours to erect the Red Barn model. Assume the assembly times follow the normal distribution. a. Determin...

#### Random Selection and Probability

EBook is a digital book provider that sells their downloaded product through both Anason and Bairnes-Nolb. Anason requires that EBook use a different format than they use for Bairnes-Nolb. EBook keeps records that show the number of unacceptable downloads done by each format. Based on past data, th...

#### Proportion and Probability of Household Incomes

According to the U.S. Census Bureau, the mean household income in the United States in 2000 was \$63,091 and the median household income was \$50,054 (U.S. Census Bureau, www.census.gov, September 2011). The variability of household income is quite large, with the 85th percentile (i.e., top 15%) appr...

#### Probability: Quarter Example Problems

Currently, quarters have weights that are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g. A vending machine is configured to accept only those quarters with weights between 5.550 g and 5.790 g. a) If 280 different quarters are inserted into the vending machine, w...

#### Probability of Overbooking an Airplane

A Boeing 767-300 has 213 seats. When someone buys a ticket for a flight, there is a 0.0995 chance that the person will not show up for the flight (based on data from an IBM research paper by Lawrence, Hong, and Cherrier). A ticket agent accepts 236 reservations for a flight that uses a Boeing 767-3...

#### Expected Payoff - Slot Machine

A standard slot machine has three reels. The first reel has 3 walnuts, 7 cherries, 3 oranges, 5 lemons, 1 bell, and 1 jackpot bar. The second reel has 7 cherries, 6 oranges, 1 lemon, 3 bells, and 3 bars. The third reel has 4 walnuts, 7 oranges, 5 lemons, 3 bells and 1 bar. The payoffs are Reel...

#### Probability, Statistics, and Data

W1A4 Sample Questions Determine if this is an example of probability or statistics: If a red, blue, and green M&M are placed into a bag, we have a 1/3 chance of reaching in and selecting the red M&M. Determine if this data is qualitative or quantitative: Waist size Determine if this study is ex...

#### Normal Distribution and Values

The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student. (Please refer to attached document to view the table and note that the questions are written in the excel file as well ) Answer...

#### Stats Problem

Question: The table below shows the probability distribution for the daily demand of toasters at a store. DEMAND PROBABILITY 0 0.05 1 0.1 2 0.25 3 ...

#### Analytical Estimate

a. In a class roster of 18 students, what are the chances that there are at least 2 people with the same birthday (same day, not same year)? Given a birthday of July 29th, please provide a detailed analytical estimate of the likelihood that this will happen. b. A street performer approaches you ...

1. True or False? The normal distribution is the most important discrete probability distribution. 2. True or False? Every normal distribution can be transformed to a standard normal distribution. 3. For a standard normal distribution, what is the value of the standard deviation and the mean? 4....

#### Decision Analysis Case Study

Please see the attached case study. What is the problem facing Sam Ellis and Forward Software? (This may take 2-3 paragraphs to explain properly). Based on your decision tree, what is the course of action Sam Ellis and Forward Software should take based on the lowest EMV? (That is, what is the lo...

#### Probability: Detecting an Income Missile

Assume that a single radar unit used to detect incoming missiles has a probability of 0.90 of correctly detecting an incoming missile attack. Furthermore, assume that four such individual and identical radar units (each with an individual probability of 0.90 of detecting an incoming missile attack) ...

#### Analysis of Exponential Probability Distribution

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. a. What is the probability that the arrival time between customers will be 7 minutes or less? b. What is the probability that the arrival time between ...

#### Uniform Distribution and Probability

The time it takes to hand carve a guitar neck is uniformly distributed between 110 and 190 minutes. a. What is the probability that a guitar neck can be carved between 95 and 165 minutes? b. What is the probability that the guitar neck can be carved between 120 and 200 minutes? c. Determine the...

#### Probability and Real World Probability

There are 2 types of probability: empirical and theoretical (classical). - Define the 2 probability types in your own words. - List 1 profession example for each probability type: empirical probability and theoretical (classical) probability. Explain clearly how these probabilities are used. -...