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Assignment Task : 

Question:

1. One drives to FIU and on any given day, the probability of getting a speeding ticket is 0.15.   a. What is the probability that on their 10th trip (day of an exam), the driver will be pulled over for speeding and have their license suspended?  Assume the fourth speeding ticket leads to license suspension. b. What is the expected number of trips before license suspension?  

2.  In a class of 20 students, 5 are undergrads.  For the final project, students randomly divided into 5 groups.  What is the probability that each group has only 1 undergrad?

3.  How many unique sequences can be formed by rearranging letters C, L, A, S, and S?  

4.  Data packets containing 64 bits are transmitted over a communication channel.  A transmitted bit is received incorrectly with probability p=0.01.  The packet is coded in such a way that a bit error of 2 or less can be corrected.  What is the probability that a packet is decoded correctly?

5.  A person regularly spends $10 to buy energy drinks.  Typically, one is able to buy exactly 2 energy drinks, but during promotions, one is able to buy exactly 3.  The probability of promotion is 0.6.

a. What is the expected value of the number of drinks bought?

b. What is the expected value of the unit cost of the drinks? 

PMF

 

 

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  • Posted on : March 16th, 2019
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