You are given the following two series on Bitcoin and the SP500. Bitcoin SP500 39 100 50 101 21 102 55 105 40 102   Find the covariance and the correlation coefficient. (B) What is the relationship between Bitcoin and the SP500 index? Interpret the relationship (C) Create a scatter plot in Excel with Income and credit score. What do you see?   Suppose you flip a fair coin four time. (A) What is the probability you will get all four heads? (B) All four tails? (C) Either all four heads or four tails? (D) Anything but four heads or four tails?   Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.     If one of the study subjects is randomly selected, find the probability of getting someone who was not sent to prison. If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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  1. You are given the following two series on Bitcoin and the SP500.

Bitcoin

SP500

39

100

50

101

21

102

55

105

40

102

 

  • Find the covariance and the correlation coefficient. (B) What is the relationship between Bitcoin and the SP500 index? Interpret the relationship (C) Create a scatter plot in Excel with Income and credit score. What do you see?

 

  1. Suppose you flip a fair coin four time. (A) What is the probability you will get all four heads? (B) All four tails? (C) Either all four heads or four tails? (D) Anything but four heads or four tails?

 

  1. Crime and Punishment: In a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.    
  • If one of the study subjects is randomly selected, find the probability of getting someone who was not sent to prison.
  • If a study subject is randomly selected and it is then found that the subject entered a guilty plea, find the probability that this person was not sent to prison.
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