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ome File Edit View History Bookmarks People Window Help Quiz 2 a Secure https://gauchospace.ucsb.edu/courses/mod/quiz/attempt.php?attempt-1338446&page-2; Home My Courses This course About Courses Help PSTATW 120A-M17 Week 4 Quiz 2 Question 8 Not yet answered Points out of 10.00 F Flag question Suppose that I have a Geometric random variable X that has probability density P(x)= (10 10 on the sample space X-1, 2, 3, … Calculate the probability that X > 4 Select one a. 0.0009 b. 0.9998 O c. 0.001 d. 0.0001 e. 0 During business hours telephone calls into 'Bret's Probability Tutoring Center' are receiv et answeredPoisson rate of four calls per hour. What is the probability we receive at least one phone Paints out of 10.00 during the first 30 minutes after opening?

Explanation / Answer

P(X>4) = 1- [P(X=1)+P(X=2)+P(X=3)]

Consider,

hence required probability =

P(X=1) =(1/10)^(1-1)*(9/10) 0.9 P(X=2) =(1/10)^(2-1)*(9/10) 0.09 P(X=3) =(1/10)^(3-1)*(9/10) 0.009

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