4  (b)  An insurance company provides customers with both auto and home insurance policies. For a particular customer, Χ is the deduction on his or her auto policy and Y is the deduction on the home policy. Possible values of Χ are K100 and K250, and for Y are K0, K100 and K200. The joint probability density function for ( ) ,YΧ is given by the following table:                                                     Χ Y K100 K250  K0 0.20 0.05  K100 0.10 0.15  K200 0.20 0.30   iv.  If we look only at those insurance customers selecting the lowest auto mobile insurance deduction (K100), what is the probability that a randomly selected\ customer will also select the lowest home deduction (K0).                      v.  Compute the correlation coefficient of Χ and Y

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4  (b) 
An insurance company provides customers with both auto and home insurance policies. For a particular customer, Χ is the deduction on his or her auto policy and Y is the deduction on the home policy. Possible values of Χ are K100 and K250, and for Y are K0, K100 and K200. The joint probability density function for ( ) ,YΧ is given by the following table:                                                     Χ Y K100 K250 
K0 0.20 0.05 
K100 0.10 0.15 
K200 0.20 0.30  
iv. 
If we look only at those insurance customers selecting the lowest auto mobile insurance deduction (K100), what is the probability that a randomly selected\ customer will also select the lowest home deduction (K0).                     
v. 
Compute the correlation coefficient of Χ and Y                             

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