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Continuous Probability Distribution - Independent Events
A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated? (b) Why might a driver be tempted not to use a seat belt "just on this trip"?
Determine the number of groups under a given condition and How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
Fitting of simple linear regression
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
what is the probability that all will make a purchase and evaluate the probability that a light bulb will burn out in less than 1000 hours.
Calculate the operating cost for the lowest 6% of the airplanes? (Round z value to 2 decimal places. Omit the "$" sign in your response.)
Evaluate the equations of the tangent lines to the graphs of f and g at the critical number found. Graph the tangent lines. What is the relationship between the lines?
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
Probability of a Bullseye, A simple dartboard has three areas - the main board has a radius of 10 inches, there is a circle with a radius of 5 inches, and the bullseye has a radius of 2 inches
Two factors are extraneous if their effects on the response variable cannot be distinguished from one another.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Find number of ways using permutation
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