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Question: The website Noot!.com sells one aquatic thing (like newts) each day. Every so often, the item for sale is a Bag of Carp, recognizable by its iconic chartreuse question mark on a plain brown lunch bag. A Bag of Carp contains three random carp-related items from the Noot! Over stock. The possibilities are preserved and salted dried carp snacks (for people to eat), living koi, photos of carp in the wild, origami carp, crocheted carp, bead-knitted carp, aquatic insect pieces (for feeding carp), books on caring for carp, or a CD of carp music (made by carp for carp). Each item in a Bag of Carp is equally likely to be any of these possibilities.
(a) Let R be a random variable that indicates whether the Bag of Carp contains a representation of carp (R = 1) or not (R = 0). Compute E[R].
(b) Let C be a random variable that indicates whether the Bag of Carp contains an item that can be used by a pet carp (C = 1) or not (C = 0). Compute E[C].
(c) What is P(R = 1 and C = 1)? How about P(R = 1 or C = 1)?
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
The area of a right triangle is 50. One of its angles is 45o. Find the lengths of the sides and hypotenuse of the triangle.
1. Demonstrate the ability to outline the steps needed to complete the project before beginning to program. 2. Demonstrate the ability to correctly code the logic of a selection statement construct. 3. Demonstrate the ability to use the Decimal data ..
find the 90%coinfidence interval for the variance and standard deviation for the time it takes an inspector to check a bus for the safety if a sample of 27 buses ha standard deviation of 6.8 minutes. Assume the variable is nornmally distributed.
Once you have developed documentation standards which meet organisational requirements, there is no need to spend time continually reviewing them. To do so will only result in increased costs and time wastage and could lead to inconsistency in doc..
Sand is leaking from the back of a dump truck and forming a conical pile on the ground. The sand is leaking at the rate of 0.2 m3 per hour. If the base radius of the pile is always 0.6 times the height, how fast is the base radius changing when the ..
Use the same company from your Week 2 assignment. My week 2 assignment was based on Del Taco specifically, but the fast food industry overall. I will attach that paper here as well. Your company has decided to launch a new line of products.
Write a general statement that describes when a string is part of the language generated by the above automata and when that string is not in the language.
With the possible change in economic conditions is there a potential downside to companies that rely on having a strong culture to maintain behavioral control and how might they overcome the downside?
Let A = {x ∈ Z : 3|x}. Show that A and N has the same cardinality. Hint: construct a function f : A → N (or f : N → A) and show that it is one-to-one and onto.
if the measure of an angle is -2x2+19x, and the measure of it's supplement is 4x2-6, find measure of the angle and its supplement.
After Example 10.7.1, we examine the case of a class on The Reality of Ducks. Below are listed the students and the books on reserve each seeks. (All titles are of real books.) Can all students work simultaneously?
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