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A population has a mean of 100 and equals 20. Given this info, what value would be 1.5 standard deviations above the mean?
The annual number of earthquakes registering at least 2.5 on the Richter Scale and having an epicenter within 40 miles of downtown Memphis follows a Poisson distribution with mean 6.5.
a. What is the probability that at least 9 such earthquakes will strike next year?
b. What is the probability that at least 25 such earthquakes will strike during the next 5 years?
"The weights of 1,000 children, in average, is 62kg with a standard deviation of 16kg. Suppose the weights are normally distributed, how many children weigh less than 51kg?"
a survey found that one out of Filipinos says he or she has visited a dentist in any given month. if 12 people are selected at random, find the probability that exactly five will have visited a dentist last month
Two judges in a beauty contest rank the 12 entries as follows
12 Y 12 9 6 10 3 5 4 7 8 2 11 1
Calculate the rank correlation coefficient between X and Y.
A factory manufactures cars with a warranty of 5 years on the engine and transmission. An engineer believes that the engine or transmission will malfunction in less than 5 years. He tests a sample of 40 cars and find the average time to be 4.8 years with a standard deviation of 0.50. At a 2% confidence level, is there enough evidence to support the idea that the warranty should be revised ? ( P-value Test)
Growth factors for the population of Chattanooga in the past two years have been 8 and 12. Find the value of the geometric mean
Recall the example of rolling a six-sided die. This is an example of a discrete uniform random variable, so named because the probability of observing each distinct outcome is the same, or uniform, for all outcomes. Let Y be the discrete uniform random variable that equals the face-value after a roll of an eight-sided die. (The die has eight faces, each with number 1 through 8.) Calculate E(Y ), Var(Y ), and Standard Deviation (Y )
An electronic system has four components labeled as 1, 2, 3, and 4. The system has to be used during a given time period. The probability that component i will fail during that time period is fi for i = 1, . . . , 4. Failures of the components are physically independent of each other. A system failure occurs if component 1 fails or if at least two of the other components fail. Specify an appropriate sample space and determine the probability of a system failure.
Identify each of the following as nominal or real variables. (a) the physical output of goods and services (b) the overall price level (c) the dollar price of a meat pie (d) the price of beef relative to the price of chicken (e) the selling price of stock in the stock market (f) the amount of goods you can purchase with the wage you earn each hour (g) the personal taxes that you pay the government
