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6. Suppose a celebrity is either invited to a fashion show or not. If invited to the fashion show, the celebrity can choose to attend the fashion show or not. Suppose a fashion brand has sent invitations to 200 celebrities, but only has a budget for 100 of them Let the celebrities who were invited to the fashion show be independent of one another, and the chance that an nvited celebrity will attend the fashion show be 0.6. (a) What is the probability that the fashion brand wil have the budget for all celebrities that attend their fashion show? (b) Now say we go down the list of celebrities that the fashion brand gave invitations to (the list of 200). Starting with the first name, and going in order (1 to 200), let X be the number of names (celebrities) you go through before you reach the first one that attends the fashion show. What distribution does X follow, and what is the parameter?

math   Statistics-And-Probability   
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