For 80% of lectures, Professor X arrives on time and starts lecturing with delay T=0. When Professor X is late, the starting time delay T is uniformly distributed between 0 and 300 seconds. Find the CDF and PDF of T.

The time between telephone calls at a telephone switch is the exponential random variable T with expected value 0.01. (a) What is E[T|T>0.02], the conditional expected value of T? (b) What is Var[T|T>0.02], the conditional variance of T?

The laser in a DVD player emits light at a wavelength of 640 nm. The laser in a Blu-Ray player emits light at 405 nm. What are the photon energies of each laser, in eV?

How does the kinematic viscosity of (a) liquids and (b) gases vary with temperature?

The uranium ores of the Athabasca Basin deposits of Saskatchewan, Canada, are unusually pure, containing up to 70, uranium oxides. Why doesn’t this uranium ore undergo an explosive chain reaction?

You arrive at a bus stop at 10 o’clock, knowing that the bus will arrive at some time uniformly distributed between 10 and 10:30. (a) What is the probability that you will have to wait longer than 10 minutes? (b) If, at 10:15, the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?

A projectile is fired at an inclination of $45^{\circ}$ to the horizontal, with a muzzle velocity of 100 feet per second.The height h of the projectile is modeled by $h(x)=\frac{-32 x^{2}}{(100)^{2}}+x$ where x is the horizontal distance of the projectile from the firing point. Find the maximum height of the projectile.

Factor. 15xy + 35x + 12y + 28

Solve the equation. Check your solution. 18. -2 + j = -22

In 2004, 10-year-old Tilly Smith was vacationing with her family at a beach resort in Thailand. She is credited with saving approximately 100 lives shortly after the magnitude 9 Indian Ocean earthquake. How did she save so many people? (1) She told her family to spend an extra week at the beach. (2) She recognized the signs of an approaching tsunami and warned the people. (3) She predicted exactly when the earthquake would occur. (4) She convinced the people to avoid eating before going swimming.

PRACTICE — Problems 1-36 are the Quick W's that fottow the EXAMPLES, In]

Building Skills In Problems 47-50, use a calculator to write each expression as & oad to two decimal places. See Objective f.

In each formula, substitute the given values of the variables. Then find the value of the remaining variable, which is printed in red. Distance an object falls:

$$d = \frac { v ^ { 2 } } { 2 g }$$

; d=1000, v=140

Find all the complex roots. Write roots in rectangular form. If necessary, round to the nearest tenth. The complex fourth roots of 81

$$81 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)$$

A company is focus testing a new type of fruit drink. The focus group is 47% male. Of the responses, 40% of the males and 54% of the females said they would buy the fruit drink. What is the probability that a randomly selected person would buy the fruit drink.