Toss a fair coin 100 times. Let X be the number of heads that follow a tail, and let Y be the number of heads that follow a head. Please express your answers as single simplified fractions for each part.   (a) Compute Var(X). (b) Compute Var(Y ). (c) Compute the correlation between X and Y.

Q: Evaluate T(n) and O(n) for the n = 84 and n = 2100.

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Q: 7. Find f(x) dr 2. O C

A: Known fact: ∫ab fx dx=-∫ba fx dx

Q: What would be the notation for the mean of the x values?

A: From the given information, the values are denoted by the variable x.Let us consider the number of…

Q: The percentage of hands that are winning blackjack hands is enter your response here​%

A: Since we have calculated probability of selecting a black jack hand is P(Black Jack hand) = 64/1326…

Q: Find (1, -5) (7, 9).

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Q: What percent of students are male that take a statistics course? (b) What percent of students are…

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Q: COMPLETE Evaluate x) for x=-3. " (-3) = %3D DONE

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Q: (1. 2) (3.-2) (-1.-2) (4.-3)

A: Integral of a function from a to b= area of the function from x=a to x=b

Q: If P(A) = 0.7, P(B) =0.2, and A and B are mutually exclusive, find P (A or B). P(4 or B) = D

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Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or…

A: select a card from 52 card deck. P(diamond or club) = ? there are 13 card of club 13 card of diamond…

Q: Find a pair of numbers whose sum and product are both equal to 32. (Use symbolic notation and…

A: A pair of numbers whose sum and product are both equal to 32.

Q: 6. 3.

A: The given figure is: Here, AB is tangent line and BD is a secant line.

Q: y X (9, –3)

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Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: ● ● (2) Make a frequency table to show the frequency with which you chose each response. (3) From…

A: Note: As per guidelines we will only answer the first three subparts, please repost other subparts…

Q: 28 percent of students are male. 37 percent of students take a Statistics course. 55 percent of male…

A: Let M denote the male students. Let F denote the female students Let S denote the students taken…

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

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Q: Multiply. (ex − e−x)2

A: Here we multiply this:

Q: 22 percent of students are male. 34 percent of students take a Statistics course. 51 percent of male…

A: Introduction: Denote M as the event that a student is male, and S be the event that a student takes…

Q: Find yll if x²+4y²=7

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Q: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

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Q: Suppose P(A)=0.6, P(B)=0.4, and both A and B are independent. Calculate P(A or B).

A: We have to find given probability.

Q: Match these values of r with the accompanying scatterplots: 0.42, - 0.781, - 1, 1, and 0.995. Click…

A: Scatter diagram: It is used to examine the relationship between y variable and x variable.…

Q: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: Find g(-3). Consider the following. y 4 2 4 -2 -4

A: Since there is a blank dot that means that we need to look for black dot hence the functional value…

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

Q: To-22 (1ny-8x) dy da

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Q: Let = 2 4-8 L and = 0 Then proj= CO -4 3

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Q: Brandon's score in the high jump at a track and field event showed that he was only able to jump…

A: B's score in the high jump at a track and field event showed that he was only able to jump higher…

Q: An insurance policy is written to cover a loss Y where Y has a uniform distribution on the interval…

A: Given : Ty(t) =cty2       0<y<t<4y<12

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A: We want to find the mean and standard deviation and probability

Q: Complete the table of values for y = x² - 4 -34 -2 -1 0 1 2 3 y

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Q: Find P( -2.56 < z < <z<1.92)   a. 0.967   b. 0.241   c. -0.241   d. 0.032

A: Followings are the explanation of the question   Let z be the standard normal variables follows the…

Q: -2 -12 2 -2 수 2 -2 y y 2 2 x x

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Q: A previous student of this class was curious about the relationship between number of hours a person…

A: Solution: Given data

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.