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Suppose traffic engineers have coordinated the timing of two traffic lights to encourage a run of green lights. In particular, the timing was designed so that with probability 0.8 a driver will find the second light to have the same color as the first. Assuming the first light is equally likely to be red or green,
(a) what is the probability P(G2) that the second light is green?
(b) what is P(W), the probability that you wait for at least one light?
(c) what is P(G1 | R2), the conditional probability of a green first light given a red second light?
She estimates that the revenue from the game will be $80,000 if it does not rain and $55,000 if it does rain. What must the chance of rain be if she is ambivalent about this insurance?
Determine whether the mean value Theorem applies to the following functions on the given interval [a,b] and if, so find or approximate the point(s) that are guaranteed to exist by the mean value theorem.
Use your new formula to find the mass of the automobile in kg for each value of force and time given in the table below. Round your answer to the nearest whole number.
Discuss which practical application covered in the chapter you think you will use within the next year and how you think studying this topic will help you make wise financial choices in the future.
Suppose that the distance between London and Edinburgh is 360 miles and that a courier for London sets out from the Scottish city running at 10 mph at the same time that one sets out from the English capital for Edinburgh at 8 mph.
A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm wide at the bottom, 80 cm wide at the top and has height of 50 cm. if the trough is being filled with water at the rate of 0.2 m^3/min, how fast is..
The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree
Determine any equilibrium solutions, and classify as stable or unstable.
Explain Working with half life of a radioactive material, If a sample has a mass of 200 mg find a function describing the mass that remains after t days
The kinetic Energy (K) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object has a mass of 22.5 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 Joules
Construct a 95% confidence interval estimate of the difference between the mean response times for Company A and Company B. Interpret your interval in context of the original claim.
A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by: s(t)=-16t squared +48t+8.
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