Exercise 1: You own two surfboards, a blue one and a purple one. You surf everyday and the probability you use your blue surfboard on a random day is 0.65. You can assume you surf only once a day and that different days are independent. What is the probability that you will use your blue surfboard at most five times a) next week? b) What is the probability that next week you will use your blue surfboard for the first time on Wednesday? (The week starts on Monday).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Exercise 1: You own two surfboards, a blue one and a purple one. You surf everyday and
the probability you use your blue surfboard on a random day is 0.65. You can assume you surf
only once a day and that different days are independent.
What is the probability that you will use your blue surfboard at most five times
a)
next week?
b)
What is the probability that next week you will use your blue surfboard for the
first time on Wednesday? (The week starts on Monday).
Transcribed Image Text:Exercise 1: You own two surfboards, a blue one and a purple one. You surf everyday and the probability you use your blue surfboard on a random day is 0.65. You can assume you surf only once a day and that different days are independent. What is the probability that you will use your blue surfboard at most five times a) next week? b) What is the probability that next week you will use your blue surfboard for the first time on Wednesday? (The week starts on Monday).
Expert Solution
Step 1

In this case, the events of interest are "using the blue surfboard" (i.e., defined as success) and "using the purple surfboard" (i.e., defined as failure). And the probability of using the blue surfboard is specified to be 0.65.

 

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