MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6.  The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following:

 

List the sample space.________________________________

 

Let F = the event of getting a number whose first digit is odd

 

Let S = the event of getting a multiple of 6

 

  1. Find P( F and S) =____________________________________

 

  1. Find P(F) =______________________________

 

  1. Find P(F|S) =_______________________________________

 

  1. Are F and S independent events? ___________Justify_____________

 

VIII (15) Let E be the event that at least two people out of 4 have the same birth month (not day).

 

  1. How many outcomes in the Sample space. In other words, compute n(S).________

 

  1. State in words the complement of E. _____________________________

 

  1. How many outcomes in the event not E. In other words, compute n(not E). ________

 

  1. Compute the probability of the event not E. _____________

 

  1. Compute the probability of the event E. ____________
Expert Solution
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Step 1

The sample space is denotes the total numbers of possible outcomes.

In this case the possible outcomes are,

s={13,15,16,35,36,56,31,51,61,53,63,65}

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