3. Suppose there are n audiences for a show, say X₁,..., Xn. Each audience gets a switch which can be turned on or off. The switches are wired to m challenges of the form X₂ V X¡ V¬Xk (3-CNF, that is or of the variables / the negation of exactly 3 variables). Leaving Blank would result in 20% for each part. (a) Suppose all audiences turn their respective switch on/off independently at random. Calculate the expected number of challenges being satisfied. (b) Suppose m→∞. Show that with (1)-probability, a random configu- ration of switches satisfy at least 75% of the challenges.

Correct answer will be upvoted else downvoted. Computer science.    Child Ehab has a piece of Cut and Stick with an exhibit an of length n composed on it. He intends to snatch some scissors and do the accompanying to it:    pick a reach (l,r) and cut out each component al, al+1, ..., ar in this reach;    stick a portion of the components together in a similar request they were in the exhibit;    end up with different pieces, where each piece contains a portion of the components and each component has a place with some piece.    All the more officially, he segments the arrangement al, al+1, ..., ar into aftereffects. He thinks a dividing is lovely if for each piece (aftereffect) it holds that, assuming it has length x, no worth happens rigorously more than ⌈x2⌉ times in it.    He didn't pick a reach yet, so he's pondering: for q ranges (l,r), what is the base number of pieces he really wants to parcel the components al, al+1, ..., ar into with the goal that the dividing is delightful.…

A produce dealer has a warehouse that stores a variety of fruits. He wants a machine capable of sorting the fruit according to the type. There is a conveyor belt on which the fruit is loaded. It is then passed through a set of sensors which measure 3 properties of the fruit: shape, texture, and weight. The sensor system is somehow rather primitive: • Shape sensor : -1 if the fruit is round and 1 if it is more elliptical• Texture sensor : -1 if the surface is smooth, 1 if it is rough• Weight sensor : -1 if the fruit is > 500g, 1 if is < 500g The sensor output will then be input to a Neural Networks based classifying system. As an AI Engineer you are supposed to design (draw the architecture and determine the optimal weight W and bias b) a simple neural network (could be a single perceptron) that can be used to recognize the fruit so that it can be directed to the correct storage bin. As a startup case, the simple network will only be used for two type of fruit i.e. banana and…

A produce dealer has a warehouse that stores a variety of fruits. He wants a machine capable of sorting the fruit according to the type. There is a conveyor belt on which the fruit is loaded. It is then passed through a set of sensors which measure 3 properties of the fruit: shape, texture, and weight. The sensor system is somehow rather primitive: • Shape sensor :-1 if the fruit is round and 1 if it is more elliptical • Texture sensor :-1 if the surface is smooth, 1 if it is rough • Weight sensor :-1 if the fruit is > 500g, 1 if is < 500g The sensor output will then be input to a Neural Networks based classifying system. As an Al Engineer you are supposed to design (draw the architecture and determine the optimal weight W and bias b) a simple neural network (could be a single perceptron) that can be used to recognize the fruit so that it can be directed to the correct storage bin. As a startup case, the simple network will only be used for two type of fruit i.e. banana and apple.…

A produce dealer has a warehouse that stores a variety of fruits. He wants a machine capable of sorting the fruit according to the type. There is a conveyor belt on which the fruit is loaded. It is then passed through a set of sensors which measure 3 properties of the fruit: shape, texture, and weight. The sensor system is somehow rather primitive: • Shape sensor : -1 if the fruit is round and 1 if it is more elliptical • Texture sensor : -1 if the surface is smooth, 1 if it is rough • Weight sensor : -1 if the fruit is > 500g, 1 if is < 500g The sensor output will then be input to a Neural Networks based classifying system. As an AI Engineer you are supposed to design (draw the architecture and determine the optimal weight W and bias b) a simple neural network (could be a single perceptron) that can be used to recognize the fruit so that it can be dirccted to the correct storage bin. As a startup case, the simple network will only be used for two types of fruit i.e. banana and apple.…

I need help with this problem involving Boolean variables and I am absolutely lost on this problem since I never seen anything like it.   If (f(w,x,y,z) = (x+yz) + (wx). What is f(1,0,0,0) There is a line over (x+yz), there is a line over letter z, and there is a line over letter w.

Make a system that can mimic cars at an intersection. Assume that there is one lane in each of the four directions, with stoplights in each. Change the arrival average of cars in each direction and the frequency of light changes to see the intersection's "behavior."

Let l be a line in the x-yplane. If l is a vertical line, its equation is x = a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y = mx + b, where b is the y-intercept. If l passes through the point (x₀, y₀), the equation of l can be written as y - y₀ = m(x - x₀). If (x₁, y₁) and (x₂, y₂) are two points in the x-y plane and x₁ ≠ x₂, the slope of line passing through these points is m = (y₂ - y₁)/(x₂ - x₁). Instructions Write a program that prompts the user for two points in the x-y plane. Input should be entered in the following order: Input x₁ Input y₁ Input x₂

Suppose a business person launches new cinema at Islamabad and ask his team to develop a ticket system for box office. He assigns some requirements about system that how should it work. The requirements are such a way that there are only '5' number of box office windows in the theatre. Each window can have at max '20' number of people waiting in line. To start with, only one window is opened. If the number of people waiting in line in that window exceeds 20, then the next window is opened and people can join the line in that window. Likewise, if both the first and second windows have n number of people waiting in each queue, then a third window is opened. This can go on until the maximum number of windows w is reached. Let us assume that once a window is opened it never closes. A new window is only opened if all open windows are full. Each person can buy only one ticket. So, the system should not allot more than one ticket per person. Let us assume that the system issues one ticket…

C-F languages (or see the following figure). In particular..it points out that the language {am,a"b" | m,n = N} is a deterministic C-F language, but not LL(k) for any k Palindromes over {a, b} Non-deterministic C-F {am,a"b" | m.ne N}; Deterministic C-F -LL(K) {ab❘n EN}- Regular To show the language is not LL(k) for any k, note that a grammar for this language is SAB A→ B -> 10 or S-A|B A→ B (you only need to answer one case here, either one). The language contains A as an element. Now consider the case k = 1 and consider the input string ab. When the first symbol is scanned, we get an 'a'. This information alone is not enough for us to make a proper choice. So we don't even know what to do with the first step in | the parsing process. For k = 2, if we consider the input string aabb, we face the same problem. For any k > 2, the input string ab would cause exactly the same problem. So this grammar is not LL(k) for any k. On the other hand, by putting proper instructions into the blanks…