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A B C D E

Now perform the following operations on the Dequeue

(a) Add F on the left

(b) Add G on the right

(c) Add H on the right

(d) Delete two letters from the left

(e) Add I on the right

(f) Add J on the left

(g) Delete two letters from right


(2) Let X denote a random variable model with density function given by

   

Compute the 

(i) expected value                   

(ii) standard deviation



1)A random variable is defined as 

  (a)Construct the Probability distribution function of X.

  (b) Compute;

     (i) the standard deviation of X            

  (ii) E                      

    (iii)Var



Q(3)It is known that only 60% of a defected computer can be   

   repaired. A sample of 15 computers is selected randomly,   

   find the probability that;

 (i) None can be repaired  ​        

 (ii) 5 or less can be repaired ​     

(iii) At least 3 computers can be repaired. 

 



Q(2)A random variable is defined as Construct the probability distribution function

of X and find the standard deviation of X.


Q1. A random variable is defined as “ the number of heads when
a coin tossed”,
(a)twice

(b)three times

(c)four times

(d)five times

Find the PDF of each of them and their respective mean and variance.

Q1. A random variable is defined as “ thenumber of heads when   

    a coin tossed”,

(a)twice

(b)three times

(c)four times

(d)five times

     Find the PDF of each of them and their respective mean and variance.

   Q(2)A random variable is defined as Construct the probability distribution function  

      of X and find the standard deviation of X.   

 

Q(3)It is known that only 60% of a defected computer can be   

   repaired. A sample of 15 Pc is selected randomly,   

   find the probability that;

 (i) None can be repaired  ​        

 (ii) 5 or less can be repaired ​     

(iii) At least 3 computers can be repaired.


Give recurrence for quick sort algorithm runtime when it sorts n-randomly sorted

integers. Derive the closed form solution using sum-method.


1. Give recurrence for quick sort algorithm runtime when it sorts n-randomly sorted integers. Derive the closed form solution using sum-method.

Company ABC is dealing with big data and they want to compress data because one of the most crucial steps for the Company is towards efficient data protection, lossless and speedy transfer over the network at less cost So your main job being an ML Engineer is to choose a compression technique from available two options (Fixed Length vs Variable-Length) given to you by the Company. Keep in mind all the important parameters while deciding about a compression.


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