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Determine the probability mass function of X. Round your answers to four decimal places (e.g. 98.7654).
At a certain gas station, 70% of the customers use regular-grade unleaded gas and 30% use higher-grade unleaded gas. It is also known that among the customers using regular-grade gas, 60% will fill
let x denote the number of ticketed airline passengers denied a flight because of overbooking. Suppse that x is a random variable for which p(x)= c(5-x) for x=0,1,2,3,4. Find the numerical value of
What hypothesis that you have recently heard is the most misunderstood? Why is this misunderstanding to prevalent, and what should be done to correct it?
What are binary variables and when would it be necessary to use binary variables in an optimization problem? Give a specific example from a source other than the text.
If the lie detector test tells the expert that the person is truthful, what is the probability that the person is a liar? If the test indicates that the person is a liar, what is the probability that
A simple linear regression relating expenditure to this index was performed. The estimated intercept and slope were a = 1.96 and b = ?0.0211, the sample correlation coefficient between the two vari
What is the probability that a ve-card poker hand is a three of a kind (three cards of one rank, two cards of di erent ranks, which are not the same rank as each other, for example 3 Kings, 1 Ten an
If 16 students are randomly selected, find the probability that their average systolic blood pressure is between 105 and 125. If 25 students are randomly selected, find the probability that their aver
Alice pays Bob a number of dollars equal to the sum of the values of any dice matching Bob's guess. So, for example, suppose Bob guesses 3.
She also agrees to make annual level deposits into a sinking fund that earns 4% annual effective interest so as to accumulate $10,000 at the end of the twelve years. Bob and Barbara discover they ha
Suppose these 2 million tests were done on a variety of machines. If a machine were picked at random, then ten tests picked at random from these tests performed on that mahine, would it be reasonabl
The labor force is the actual number of people eligible for work, both the employed and the unemployed. In one county, men constitute 60% of the labor force. The rates of unemployment are 5.1% and
Consider an x-bar chart where the x-bar statistic is normally distributed and an associated x-bar control chart exists. If the process is in statistical control then what is the type 1 error rate of
The number of shark attacks and death over a recent 5 year period is shown. Find the mean, median, mode, midrange, range, variance and standard deviation for the data. Which data set is more variabl
Correlation measures the strength of the (positive/negative/linear/amount of) relationship between two (categorical/continuous/mixed) variables.
A commuter train from Long Island to New York City is scheduled to arrive at 8:07 AM every weekday morning. The probability that the train arrives on time is 0.90. Suppose 20 weekdays are randomly s
In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from
Suppose that when certain geological conditions exist, there is a 20% chance of striking oil. A drilling company finds five independent locations where these geological conditions exist and drills o
What proportion of predictions were for unusually high increases? What proportion of outcomes were for unusually high increases?
A bank classifies borrowers as "high risk" or "low risk," and 15% of ots loans are made to those in the "high risk" category. Of all its loans, 5% are in default and 40% of those in default are to h
Suppose the reaction temperature X (in °C) in a certain chemical process has a uniform distribution with A = -8 and B = 8