​a) Are the outcomes of the two contracts bids​ independent? Explain.   ​b) Find the probability you get both contracts.     ​c) Find the probability you get neither contracts.   ​d) Let X be the number of contracts you get. Find the probability model for X. x 0 1 2   ​P(x)                                                                           e) Find the expected value and standard deviation of X.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Your company bids for two contracts. You believe the probability that you get contract​ #1 is 0.7. If you get contract​ #1, the probability you also get contract​ #2 will be 0.3​, and if you do not get contract​ #1, the probability that you get contract​ #2 will be 0.2.

Complete parts a through e below.

 

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Part 1
​a) Are the outcomes of the two contracts bids​ independent? Explain.
 
​b) Find the probability you get both contracts.
 
 
​c) Find the probability you get neither contracts.
 
​d) Let X be the number of contracts you get. Find the probability model for X.
x
0
1
2
 
​P(x)
                                                                      
 
 
e) Find the expected value and standard deviation of X.
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