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Find the probability and mean and standard deviation for given data under Binomial distribution.
The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found, and the case is never solved (Source: True Odds, by James Walsh, Merit Publishing). Suppose that a neighborhood district in a large city has repeated property crimes, not always by the same criminals. The police are investigating six property crime cases in this district.
a) What is the probability that none of the crimes will ever be solved?
b) What is the probability that at least one crime will be solved?
c) What is the expected number of crimes that will be solved? What is the standard deviation?
Create the table for frequency distribution that has 16 class intervals of width 1 inch. Utilize 61.5 inches as lower limit of first interval and 62.5 as upper limit.
Please use a combination of content and supportive examples.
What can we say about the probability distribution of x? Is it approximately normal? What are the mean and standard deviation?
What is the probability that the cereal would be high calorie? In other words, what is P (high calorie)?
Find out optimal assignment and calculate total minimum cost.
The distribution of lifetimes for a certain type of light bulb is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the 33rd percentile of the distribution of lifetimes.
Create a scatter plot for those data. Based on scatter plot, how would you explain relationship between the two variable.
I survey 50 potential consumers regarding their interest in the product, 34 express an interest in purchasing it. The maximum price each would be willing to pay is shown below.
Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
A population has mean 325 and variance 144. Suppose the distribution of sample means is generated by random samples of size 36.
Determine if there is a linear correlation between annual income and the amount of insurance? What is the linear regression line for this data?
Generate a relative frequency histogram using ten-point intervals to show the distribution of the scores.
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