JT(IT) 2016 PARTB Computer Science
Question 1 
If a random variable takes a finite set of values it is called:
Continuous variate  
Normal variate
 
Discrete variate
 
Exponential variate 
Examples:
number of students present
number of red marbles in a jar
number of heads when flipping three coins
students’ grade level
→ A discrete random variable X has a countable number of possible values.
Example:
Let X represent the sum of two dice.
→ A discrete random variable is one which may take on only a countable number of distinct values such as 0,1,2,3,4,........ Discrete random variables are usually (but not necessarily) counts. If a random variable can take only a finite number of distinct values, then it must be discrete.
Examples of discrete random variables include the number of children in a family, the Friday night attendance at a cinema, the number of patients in a doctor's surgery, the number of defective light bulbs in a box of ten.
Question 2 
In clientserver computing vertical scaling means:
Adding or removing client workstations with only a slight performance impact
 
Migrating servers to a new group of client workstations  
Migrating client workstations to a larger and faster server machine or multi servers  
Combining two or more client workstation groups

→ Vertical Scaling is most commonly used in applications and products of middlerange as well as small and middlesized companies. One of the most common examples of Virtual Scaling is to buy an expensive hardware and use it as a Virtual Machine hypervisor (VMWare ESX).
→ Vertical Scaling usually means upgrade of server hardware. Some of the reasons to scale vertically includes increasing IOPS (Input / Output Operations), amplifying CPU/RAM capacity, as well as disk capacity.
→ However, even after using virtualization, whenever an improved performance is targeted, the risk for downtimes with it is much higher than using horizontal scaling.
Question 3 
If the mean of a poisson distribution is m, then standard deviation of the distribution is:
m^{2}  
m  
2*m  
√m 
Question 4 
The 10Base5 cabling scheme of ethernet uses:
Twisted pairs
 
Fiber optics  
Thin coax
 
Thick coax 
10Base5 is also called thick Ethernet, ThickWire, and ThickNet.
→ The number 10: At the front of each identifier, 10 denotes the standard data transfer speed over these media  ten megabits per second (10Mbps).
→ The word Base: Short for Baseband, this part of the identifier signifies a type of network that uses only one carrier frequency for signaling and requires all network stations to share its use.
→ The segment type or segment length: This part of the identifier can be a digit or a letter:
 Digit  shorthand for how long (in meters) a cable segment may be before attenuation sets in.
For example, a 10Base5 segment can be no more than 500 meters long.
 Letter  identifies a specific physical type of cable.
For example, the T at the end of 10BaseT stands for twistedpair.
Question 5 
The standard deviation of binomial distribution with n observations and probability of success p, probability of failure is q is:
√npq
 
Pq  
Np  
√pq 
The binomial distribution for a random variable X with parameters n and p represents the sum of n independent variables Z which may assume the values 0 or 1. If the probability that each Z variable assumes the value 1 is equal to p, then the mean of each variable is equal to l*p + 0*(lp) = p, and the variance is equal to p(lp).
By the addition properties for independent random variables, the mean and variance of the binomial distribution are equal to the sum of the means and variances of the n independent Z variables, so
These definitions are intuitively logical. Imagine, for example 8 flips of a coin. If the coin is fair, then p = 0.5. One would expect the mean number of heads to be half the flips, or np = 8*0.5 = 4.
The variance is equal to np(lp) = 8*0.5*0.5 = 2.
Question 6 
One of the adhoc solutions to count to infinity problem in network routing is:
The split horizon hack
 
Flow based routing  
Flooding
 
Shortest path routing

1. Route Poison
2. The split horizon hack
Question 7 
The normal curve is symmetrical about its:
Standard deviation  
Mean
 
Variance  
Probability

The probability density of the normal distribution is
Where
• μ is the mean or expectation of the distribution (and also its median and mode).
• σ is the standard deviation, and
• 2 is the variance
Question 8 
Given a bit rate of b bits/sec, the time required to send 16 bits is:
16*b sec
 
16/b sec
 
16^{b} sec  
b^{16} sec

The data rate R is a function of the duration of the bit or bit time (T_{B}).
R = 1/T_{B}
Question 9 
The density of uniform distribution over the interval ⍺ < a < b < ⍺ is given by:
f(x) = λe^{λx} , x>=0
 
f(x) = q^{k}p  
f(x) = 1/(ba), a  
f(x) = (⍺/c)x^{⍺1}

The values of f(x) at the two boundaries a and b are usually unimportant because they do not alter the values of the integrals of f(X) dX over any interval, not of X f(X) dX or any higher moment. Sometimes they are chosen to be zero, and sometimes chosen to be 1/(b – a). The latter is appropriate in the context of estimation by the method of maximum likelihood. In the context of Fourier analysis, one may lake the value of f(a) to be 12(b – a), since then the inverse transform of may integral transform of this uniform function will yield back the function itself, rather than a function which equal ‘almost everywhere’, i.e except on a set of points with zero measure. Also, it is consistent with the sign function which has no such ambiguity.
In terms of mean and variance σ^{2}, the probability density may be written as:
Question 10 
The built in HTTP request method to request to read a web page is:
HEAD  
PUT
 
GET
 
POST 
The request method indicates the method to be performed on the resource identified by the given RequestURI. The method is casesensitive and should always be mentioned in uppercase. The following table lists all the supported methods in HTTP/1.1.
Question 11 
Exponential distribution is special case of ____ distribution.
Theta  
Alpha  
Beta  
Gamma 
Question 12 
The traditional cryptographic cipher that records the letters but do not disguise them is:
Substitute cipher  
Onetime pads
 
Secret key algorithms
 
Transposition cipher 
Also this code can be easily broken.
Question 13 
0  
1  
1  
⍺ 
Question 14 
The segmentation memory management scheme suffers from:
External fragmentation  
Internal fragmentation
 
Starvation
 
Ageing

Paging avoids external fragmentation but still it suffers from internal fragmentation. < br> • Internal fragmentation is the wasted space within each allocated block because of rounding up from the actual requested allocation to the allocation granularity.
• External fragmentation is the various free spaced holes that are generated in either your memory or disk space. External fragmented blocks are available for allocation, but may be too small to be of any use.
• Resource starvation is a problem encountered in concurrent computing where a process is perpetually denied necessary resources to process its work. Starvation may be caused by errors in a scheduling or mutual exclusion algorithm.
• Ageing is a scheduling technique used to avoid starvation.
Question 15 
The mean, mode and median are connected by the empirical relationship:
Meanmode = 2(meanmedian)
 
Meanmode = 3(meanmedian)  
Meanmode = (meanmode)/2
 
Meanmode = (meanmode)/3

Mode = mean  3 [mean  median]
Mode = 3 median  2 mean
and Median = mode + ⅔ [meanmode]