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"A forest fire is burning down a narrow valley 3 miles wide at a speed of 40 feet per minute. The fire can be contained by cutting a fire break through the forest across the valley. It takes 30 seconds for one person to clear one foot of the firebreak. The value of lost timber is $4000 per square mile. Each person hired is paid $12 per hour, and it costs $30 to transport and supply each person with the appropriate equipment. Develop a model to determine:
a. How many people should be sent to contain the fire.
b. The best location for the firebreak.
Implement your model on a spreadsheet and find the optimal solution using Solver."
Use frequency distribution to create a probability distribution, determine the (b) mean,(c) variance and (d) standard deviation of probability distribution and (e) interpret results in context of real life situation.
What is the probability of randomly selecting a male from this group?
Based on our poll what is the margin of error of the proportion of voters favoring the incumbent?
Assuming that the standard deviation is known to be 121.8Ib use 0.05 significance level to test the claim that the population mean of all such bear weights is greater than 150 Ib
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return.
In a recent year, 11th grade New York public school students taking an English test produced test scores that were normally distributed with a mean of 81 and a standard deviation of 6. Let x be a random variable that represents a test score.
What is the probability that the average time spent per customer will be at least 3 minutes?
Using Microsoft Excel, create a correlation analysis of Wal-Mart's annual net income over the past 10 years compared with Sears's annual net income over the past 10 years and interpret the results.
In a market study for Target, a researcher found that 70% of customers are repeat customers. If 14 customers are selected at random, find the probability of getting.
Mr. Connors philosophy class has 99 students, classified by academic year and gender, as illustrated in the table below. Mr. Connor randomly chooses one student to collect yesterday's work. What is the probability that he selects a male, given tha..
Use the t test to determine whether the slope of the regression model is significant at α = 0.05.
When is it best to use either of them? What types of variables can you apply them to, how many variables can each encompass, and which can be employed for a prediction of a new observation?
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