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A standard normal distribution has mean equals to zero and the standard deviation equals to one. Therefore, when we plot it with three sigma limits, we have six points on the X-axis referring to the plus and minus around zero. If the limits are defined then the plotting can be shown with larger width and that will change the display of the curve. We can do this by creating a sequence for the length of the standard normal variable and its density.Consider the below vectors corresponding to the limits and density−x
The correlation coefficient value size in correlation matrix plot created by using corrplot function ranges from 0 to 1, 0 referring to the smallest and 1 referring to the largest, by default it is 1. To change this size, we need to use number.cex argument. For example, if we want to decrease the size to half then we can use number.cex = 0.5.ExampleConsider the below matrix − Live Demoset.seed(99) M corrplot(cor(M), addCoef.col="black")OutputChanging the size of correlation coefficient value to 0.75 −corrplot(cor(M), addCoef.col="black", number.cex=0.75)OutputChanging the size of correlation coefficient value to 0.30 −> corrplot(cor(M), addCoef.col="black", number.cex=0.30)OutputRead More
We often need groupwise mean in data analysis, especially in situations where analysis of variance techniques is used because these techniques helps us to compare different groups based on their measures of central tendencies and measures of variations. It can be done by using aggregate function so that the output can be saved in a data frame object. In the below examples, we can see how it can be done and also check the final object type.ExampleConsider the below data frame − Live Demoset.seed(109) Salary
Suppose we have a list of sorted numbers called nums, we have to find the sum of the absolute differences between every pair of numbers in the given list. Here we will consider (i, j) and (j, i) are different pairs. If the answer is very large, mod the result by 10^9+7.So, if the input is like nums = [2, 4, 8], then the output will be 24, as |2 - 4| + |2 - 8| + |4 - 2| + |4 - 8| + |8 - 2| + |8 - 4|.To solve this, we will follow these steps −m ... Read More
Suppose we have a robot, that is currently sitting in at position (0, 0) (Cartesian plane). If we have list of its moves that it can make, containing N(North), S(South), W(West), and E(East). We have to check whether it can reach at destination coordinate (x, y).So, if the input is like moves = ['N', 'N', 'E', 'E', 'S'], (x, y) = (2, 1), then the output will be True, To solve this, we will follow these steps −temp_coord := [0, 0]for each move in moves, doif move is same as "N", thentemp_coord[1] := temp_coord[1] + 1otherwise when move is same ... Read More
Suppose we have a string containing letters of three types, R, B, and dot(.). Here R stands for our current position, B stands for a blocked position, and dot(.) stands for an empty position. Now, in one step, we can move to any adjacent position to our current position, as long as it is valid (empty). We have to check whether we can reach either the leftmost position or the rightmost position.So, if the input is like s = "...........R.....BBBB.....", then the output will be True, as R can reach left most position, because there is no block.To solve this, ... Read More
Suppose we have some parameters P, O, E, T. If we have P dollars in principal that we want to invest the stock market. The stock market alternates between first returning E and then O percent interest per year, we have to check how many years it would take to reach at least T dollars.So, if the input is like P = 200, O = 10, E = 25, T = 300, then the output will be 3 as in the first year we will get interest 25%, so end up with 200+50 = 250, then next year we will ... Read More
Suppose we have a string of words delimited by spaces; we have to reverse the order of words.So, if the input is like "Hello world, I love python programming", then the output will be "programming python love I world, Hello"To solve this, we will follow these steps −temp := make a list of words by splitting s using blank spacetemp := reverse the list tempreturn a string by joining the elements from temp using space delimiter.Let us see the following implementation to get better understanding −Example Live Democlass Solution: def solve(self, s): temp = s.split(' ') ... Read More
Suppose we have two lists of numbers called A, and B. We have to take some sublist in A and reverse it. Then check whether it is possible to turn A into B or not. We can take sublist and reverse it any number of times.So, if the input is like A = [2, 3, 4, 9, 10], B = [4, 3, 2, 10, 9], then the output will be True as we can reverse [2, 3, 4] and [9, 10].To solve this, we will follow these steps −res := a map, initially emptyfor each n in nums, dores[n] := ... Read More
Suppose we have a string, we have to check whether it's a repeating string or not.So, if the input is like string = "helloworldhelloworld", then the output will be TrueTo solve this, we will follow these steps −n := size of sDefine a function findFactors() . This will take nf := a new seti := 1while i * i