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Suppose the lifetime of a radio is a random variable T, with the following p.d.f.
= 50/x^3 if x ≥ 5.
(a) What is the average life time of the radio?
(b) Find the cumulative distribution function F for the lifetime of the radio.
(c) If you buy a new radio, what is the probability that it works for more than 15 years (that is P (T > 15))?
(d) If you buy a 10-years-old radio, what is the probability that it works for 15 more years (that is, more than 25 years in total)? Do you prefer a new radio or a 10-years-old radio? Use the formula you found in the last problem.
Suppose you have triangle ABC and triangle DEF, and they are similar, with a scale factor of 0.5. If the angle measures of ABC are 80°, 80°, 20°, what are the measures of the angles in DEF?
The cost of a flow is Σu,v∈V f(u, v), and the goal is to find the feasible flow ofminimum cost. Express this problem as a linear program.
Prove that if P is any point in a regular tetrahedron of height h, then the sum of the perpendicular distances from p to the four faces of the tetrahedron is equal to h.
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
COLLEGE SAVINGS PROGRAM The Blakes have decided to start a monthly savings program in order to provide for their son's college education.
Obtain the Maclaurin series and using the results above, find the series of cos(z): Show the expansion up to 3 terms as well as a general form using
find the maximum depth using the given function.suppose the function dt t2nbsp- 14t models the depth of a scuba diver
An urn contains 6 balls numbered 1 through 6. Suppose you draw a ball from the urn, observe its number, replace the ball, draw a ball again, and observe its number. How many outputs are in the sample space?
Why do they take the value 2 when the actual value is 1.999999999....and so on?
Find the predictive value of a positive test.
Consider the function below. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.) Find the intervals where the function is concave up. Find the interval where the function is concave down.
Jam buys 12 pens for $10.Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy for $15.Then solve your proportion for the number of pens.
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