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Question: A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.9, and the probability that it is received incorrectly (as a 1) is 0.1. When a 1 is sent, the probability that it is received correctly is 0.8, and the probability that it is received incorrectly (as a 0) is 0.2.
a) Find the probability that a 0 is received.
b) Use Bayes' theorem to find the probability that a 0 was transmitted, given that a 0 was received.
He gained most of his recognition for his strong stand during the Stamp Act of 1765 and when, as a lawyer, he represented six soldiers who were involved in the Boston Massacre of 1770. His own Vice President, Thomas Jefferson, defeated him when he..
in a poll of 600 voters in a campaign to eliminate non-returnable beverage containers 210 of the voters were opposed.
Suppose the waiting time at a traffic light has a uniform distribution from 0 to 20 seconds. Determine the probability of waiting exactly 12 seconds, less than 5 seconds, more than 10 seconds.
State which model the data in the table follows.- Plot the scatter diagram when X = life expectancy and Y = crude birth rate and fit a regression line.- Does the data appear to follow a straight line?
A disabled person's acceptance of a disability is critical to the rehabilitation process. The Journal of Rehabilitation (Sept. 1989) published a study that investigated the relationship between assertive behavior level and acceptance of disabi..
Among 100 vacuum tubes tested, 41 had lifetimes of less than 30 hours, 31 had lifetimes between 30 and 60 hours, 13 had lifetimes between 60 and 90 hours, and 15 had lifetimes of greater than 90 hours. Are these data consistent with the hypothesis..
What is the probability of having exactly 2 crashes in the each of the first two months, given that there are exactly 6 crashes in the first 3 months?
when a truckload of apples arrives at a packing plant a random sample of 180 is selected and examined for bruises
Management at the Kansas City Corporate office for tax prepration wants to accomplish a business objective by conduting a study of the waiting time in its tax offices in different states.
The standard deviation is believed to be 0.25%. Find a bound such that the probability that the actual rate obtained will be this number or below it is 90%.
Heights of a man distribution with a mean of 173cm and standard deviation of 5cm,using the empirical rule what is the percentage of the men between the following values.round to one decimal place
A civil service exam is given to 200 job applicants. In recent years, grades have followed a normal distribution with mean 66.5 and variance 100. The grades of the job applicants are distributed as follows:
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