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Probability

Binomial Probability Distributions

Given the following information about motor vehicles, motor vehicle accidents and cost of repair for last year: # of registered motor vehicles (millions) 215 # of vehicles involved in an accident (millions) 21.3 Cost of accident ($ billions) 192 A) What is the probability that a randomly selected vehicle is involved i

Probability of Average Height

The average height of a willow tree in a nursery is 11 ft. If the heights are normally distributed with a standard deviation of 1.6, find the probablility that a randomly selected willow tree in a nursery is less than 13 ft.

Help needed with probabilities

See attached file which includes the data, The attached excel file contains data obtained from 274 couples regarding their education level, annual salary, the value of the cars that they own, the value of their homes, their total savings value (including stocks and bonds) and their social climber index (scale of 1-10, where

Statistics of Airplanes Failing

# 5.62: A certain airplane has two independent alternators to provide electrical power. The probabilty that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. a) The likelihood that the first

Probabilities in transmitting messages with noise.

When a message is sent electronically, it is usually sent as a stream of bits, each of which can be either a 0 or 1. If the digital channel is noisy, then each bit has some probability of being flipped. Assume that a message is sent through a noisy channel where the probability that any individual bit will be flipped is 0.2.

Binomial distribution

According to a recently conducted survey, 90% of all drivers in Trinidad and Tobago claim to consistently driver over the legal speed limit. Assume that this result is true for the current population of the Cayman Islands. Find the probability that, in a random sample of 20 drivers: 1. None of them drive over the legal limi

Quantitative Methods

Management Science 1. There is a fixed cost of $50,000 to start a production process. Once the process has begun, the variable cost per unit is $25. The revenue per unit is projected to be $45. Find the break-even point. 2. Administrators at a university are planning to offer a summer seminar. It costs $3000 to reserve

Probabilities and statistics for a random variable

1. Let f(x) = 2e^(-(x-3)/c), 3 < x < infinity (zero otherwise) be a p.d.f. of a random variable X. a. Find c b. Find the CDF of X and sketch the CDF c. Compute P(-5 < X < 10) 2. A candy maker produces mints that have a label weight of 30 grams. Assume that the distribution of the weights of these mints is N(30, 2^2).

Binomial Distribution of Insurance Policy

5. An insurance policy reimburses a loss in excess of a 250 deductible. The policyholder's loss, X, follows an exponential distribution with mean 1,000. What is the expected value of the benefit paid under this insurance policy? The attachment contains 2 other problems.

Find probability of height

A survey was conducted to measure height of men. In survey, respondents were grouped by age. In the 20-29 age group, the heights were normally distributed, with a mean of 69.2 inches and a standard deviation of 2.0 inches. a) Find probability that his height is less than 66 inches? b) Find probability that his height is

Conducting Normal Probability Calculations

Please help with the following probability problems. In a survey of women in a certain country (ages 20-29), the mean height was 66.6 inches with a standard deviation of 2.71 inches. Answer the following questions about the specified normal distribution. a) What height represents the 85th percentile in inches? (Roun

Statistics - Estimate Probability

Carbon monoxide emissions for a certain kind of car vary with a mean u=2.3 g/mi. and a standard deviation o=0.7 g/mi. A company has 60 of these cars in their fleet. Let y represent the mean CO level for the Company fleet. Estimate the probability the y is between 2.4 and 2.5 g/mi. P(2.4< Y <2.5)= Note: "There is suppo

Probability of Defect

In a shipment of 40 television, 3 are defective. if 2 television sets are randomly selected and tested without replacement, what is the probability that both are defective?

Method for Calculation of Probability Based on Z Score

Answer the questions about the specified normal distribution. a. The lifetime of ZZZ batteries are normally distributed with a mean of 265 hours and a standard deviation of 10 hours. Find the number of hours that represent the the 40th percentile. b. Scores on an English placement test are normally distributed with a m

Normal Probability: Probability Based on Z Score

Normal Distributions: Find Probabilities 1. The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.57? 2. The a loan officer rates applicants for credit. Ratings are

Amount of Sandwich Possibilities

For a special price, one may choose two kind of deli meat, two kind of cheese, and one type of bread. if there are eight choices of meat. five choices of cheese, and five choices of bread, how many different sandwiches with two meats and two cheeses on one type of bread will be possible?

Florida lottery combinations

In the Florida lottery, six numbers from 1 to 53 must be selected. to win the jackpot, the six numbers must match the draw numbers. how many combinations of six numbers are numbers are possible in the Florida lotto game?

Possible Outcomes Possible If Both Numbers Are Even

Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. How many outcomes are possible if both numbers are even?

Discrete Probability Distribution for Hand Simulations

8. Perform a hand simulation for the first three customers to arrive at a ticket booth to purchase a ticket. Discrete probability distributions for the two uncertain events are presented below in one minute intervals. Assume the ticket booth opens at 7:00 AM. Assume two digit numbers were selected from a table of random number

Probability in Recent Polls

In a recent poll, 58% of the surveyed said that they will take shorter trips to keep the vacation expenses down. If 3 people are randomly selected, what is the probility that all 3 will take shorter trips?

Probabilities of Life Insurance Purchase

In a typical month, an insurance agent presents life insurance plans to 40 potential customers. Historically, one in four such customers chooses to buy life insurance from this agent. Based on the relevant binomial distribution, answer the following questions; a) What is the probability that exactly 5 customers will buy life

Weekly Demand of a Fiat Car

The weekly demand for Fiat car sales follows a normal distribution with mean 50,000 cars and standard deviation 14,000 cars. a) There is a 1% chance that Fiat will sell more than what number of cars next year? b)What is the probability that Fiat will sell between 2.4 and 2.7 million cars during the next year? Please a

Probability Distributions for AIU job satisfaction database

Using our data set from Unit 1, compose an email to the head of the American Intellectual Union which discusses the following: Begin your email by first providing an overview of the database, i.e. a story. Be sure to include information about how you would use the concept of probabilities to apply to profiles for hiring mo

Binomial Probability for Professional Baseball

1. 34% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball. Construct a binomial distribution using n=6 and p=0.34

Probablity questions

I would like some help with the following questions please: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show a

Sampling, Central Limit Theorem and Confidence Intervals Discussion Questions

Exercise 1 From Chapter 7 of Lind, submit your responses to problem #16 on pp. 237 The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the pro

Probability of Correct Test Answers

A True-False test has 20 questions with each having 2 possible answers with one correct answer. Assume a student answers every question. a. What is the probability of getting exactly 9 correct answers? b. What is the probability of getting less than 6 correct answers?

Probability, mean & variance

Please help with the following probability problems. Provide step by step calculations for each statistics question. The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12. a. What is the probability that exactly 10 seeds will germinate? b. What is the probability that 10 or mo

Random Variables

1. Seventy percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the aircraft that are not discovered do not have an emergency locator. Suppose a light aircraft has disappeared. a) Draw

Probability and Reasoning

Marge and Joe have five daughters. They decide to have another baby because they are sure the next one will be a boy (after all, what are the odds of having another girl!) 1. Is their reasoning accurate? Why or why not? 2. What is the probability of having six girls? 3. What is the probability of