Use python to answer the following questions!!!

Permit X to connote the voltage at the yield of a mouthpiece, and expect that X has a uniform dissemination on the stretch from ?1 to 1. The voltage is taken care of by a "hard limiter" with cutoff regards ?0.5 and 0.5, so the limiter yield is a discretionary variable Y related to X by Y = X if |X| ? 0.5, Y = 0.5 if X > 0.5, and Y = ?0.5 if X .

(a) What is P(Y = 0.5)?

(b) Obtain the consolidated allocation limit of Y.

In the event that it's not all that much difficulty, show your work, thankful!

A firm uses design projection and incidental parts to repeat bargains for a given time frame outline period. It gives out "0" if bargains fall, "1" if bargains are predictable, "2" if bargains rise sensibly, and "3" if bargains rise a ton. The test framework makes the going with yield.

0 1 0 2 0 1 0 3 2 0 2 1 2 3 1 2 0 2 0 3 0 2 1 0 1

Check the probability that arrangements will rise passably.

a

0.258

b

0.233

c

0.312

@2@

d

0.226

Consider the assessment of flipping a sensible coin until two heads or two tails appear in

movement.

(a) Describe the model space.

(b) What is the probability that the examination closes before the sixth toss?

(c) What is the probability that the examination closes after a lot number of tosses?

(d) Given that the assessment closes with two heads, what is the probability that the

break down closes before the sixth toss?

(e) Given that the examination doesn't end before the third toss, what is the probability that

the investigation doesn't end after the sixth toss?

Permit X to mean the proportion of time a book on two-hour hold is truly taken a gander at, and accept the cdf is the going with. F(x) = 0 if x = 5. Use the cdf to procure the going with. (In case crucial, round your reaction to four decimal spots.)

(g) Calculate V(X) and ?x.

(h) If the borrower is charged an aggregate h(X) = X2 when checkout length is X, figure the ordinary charge E[h(X)].

Imagine performing a scatterplot (also known as a "scattergram") showing the relationship between two variables. Also imagine having to describe the shape that the dots could form. Which shape would meet the assumptions of linear regression and correlation? O A squiggly worm O A dome A cone A cigarno, traffic(#cars per hour),co level(ppm) ,(x),(y) 1,100,8.8 2,110,9.0 3,125,9.5 4,150,10.0 5,175,10.5 6,190,10.5 7,200,10.5 8,225,10.6 9,250,11.0 10,275,12.1 11,300,12.1 12,325,12.5 13,350,13.0 14,375,13.2 15,400,14.5 I am currently studying statistics, and I have done 2 analysis: Linear regression, and Correlation analysis of the data. However, I want to know what the results implies. Can you explain what this data refers in terms of Linear regression and Correlation analysis?Which one of the following statements is true about linear regression and correlation? O The linear regression of X on Y is identical to the linear regression of Y on X. O A positive slope parameter estimated using regression implies higher baseline probability. O X should be approximately normally distributed for a valid interpretation of logistic regression. O The correlation coefficient between X and Y is identical to the correlation coefficient between Y and X.The following bivariate data set contains an outlier. X y 68.6 -829.2 63.5 255.7 59 1427 66.5 -1321.9 53.9 234.2 71.8 -778.9 60.1 -3.1 49.7 -291.9 36.3 1379.9 68.2 -997.9 67.7 933.3 66.9 557.2 59.8 -414.6 75.4 1355 192.7 9673.7 Linear Regression and Correlation Calculator What is the correlation coefficient with the outlier? What is the correlation coefficient without the outlier? Two =