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Let U be a uniform random variable on the interval (-pi/2, pi/2). Let X=sinU. Find the probability density function of X and calculate E(X) and var(X).
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
Trigonometric function to estimate the exact value.
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
What exactly is an improper integral? Why is there a difference between improper and proper integrals?
At noon, ship A is 60 km west of ship B. Ship A is sailing south at 15 km/h and ship B is sailing north at 5 km/h. How fast is the distance between the ships changing at 4:00 PM? (Round your answer to one decimal place.)
what is the probability taht a widget produced by the factory will be defective? if a widget is found to be defective what is the probability that it is made by Pacific
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
Assuming both retire at 70, and that the interest rate both get on their investments is 10% (compounded annually) who has the most money in their account at age 70? Explain why you pick the answer you pick.
The Snell law to find the index of refraction
You have been given information that if a student is a resident and they enroll for more than 12 hours, then their tuition will equal $120 plus $10 per hour for every hour greater than 12.
Integrating a differential equation given the initial values and exponentiate both sides of the equation for to solve for P(t)
Calculate the reduced row echelon form of the following matrices. Approximate answers should be entered to at least 4 decimal places.
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