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The growth of a small town is modeled by a logistic function. The maximum population of the town is 60,000. If the town started with 125 people, then what should be the value of the a parameter?
A binomial distribution has 102 trials (n = 102) with a probability of success of 0.41 (?=0.41). To apply the normal distribution to approximate the binomial, what are the mean and standard deviatio
Roll a four - sided die twice. Create a table showing the sample space. Find the probabilities of the following events:
Is there sufficient evidence to support the claim that there is a linear correlation between the heights of the mothers and the heights of their daughters? Explain.
How many ways are there to seat six different boys and six different girls along one side of a long table with 12 seats? How many ways if boys and girls alternate seats?
Let X be the number of people in a household for a certain community. Consider the following probability density for X, which assumes that there are no more than severn people in the household:
It was found that the process A produced 800 defective units while process B produced 50 defectives units. Determine what is the difference between the fractions of defectives produced by two proces
An urn contains 40 balls. 12 are red, 13 are blue, 8 are green, and 7 are yellow. If two balls are randomly selected, replacing the first ball before drawing the second, find the probability that yo
Represent the situation as a game and find the optimal strategy for each player. State your final answer in the terms of the original question.
What is the expected total amount of time in minutes the operator will spend on the calls each day? Give an exact answer. What is the standard deviation of the total amount of time in minutes the ope
A poll conducted in the United States November 16-19, 2012, asked, "Do you think the use of marijuana should be legal or not?" In the nationwide poll of n = 1100 adults, 47% said that they favored
What design principle is stressed for experiments or observational studies? Using dependent samples with paired data is generally better than using two independent samples.
What is the probability that he must ask at least 103 people to fill his quota? What is the average number of people he must ask to fill his quota?
For each of the three middle slots at the top of the probability that a chip starting in each slot results in winning $10,000. the board (slots 4,5, and 6), find the probability that a chip starting
When testing testing for current in a cable with seven color -coded wires,the author used a meter to test five wires at a time. How many different tests are required for every possible pairing of fi
What is the distribution and parameters of S? What is the support? What is the probability that worker fills his quota on the 125th person that he asks to complete the survey?
Muncy, Inc., is looking to add a new machine at a cost of $4,133,250. The company expects this equipment will lead to cash flows of $818,322, $863,275, $937,250, $1,020,110, $1,212,960, and $1,225,0
Demonstrate that this Weibull distribution does not have a Lack of Memory property. You may do this using a formula or an appropriate computation.
Prices for regular unleaded gasoline can vary widely from day to day and location to location. These data were obtained on June 1, 2001, from a sample of stations across the respective state (price
Assume that 85% of the time the port can handle the weekly cargo volume without extending operating hours. What is the number of tons of cargo per week that will require the port to extend its opera
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation Statistics website, November 2, 2012). Airfares were based on the total
Given that z is a standard normal random variable, find z for each situation (to 2 decimals).
Find the probability that he gets at least 3 emails on a particular day? What is the standard deviation of the number of emails that Tim gets in one day?
A file can have a three-letter suffix (e.g. .txt, .doc). How many different three-letter suffixes are there?
A survey of 89 students found that 48% were in favor of raising tution to pave new parking lots. The standard deviation of the sample proprortion is 7.4%. How large a sample (to the nearest person)