Mathematical Foundation for Computer Science 1 MCQ Questions & Answers

1. What is the probability that when a fair coin is tossed 2 times then at least one of them are heads?
   Ans : 3/4
2. A fair dice is rolled, random variable X = outcome on the uppermost face of the die. Then possible values of X ___
   Ans : 1,2,3,4,5,6
3. A random variable that assume a infinite or a uncountably infinite number of values is called _____
   Ans : continuous random variable
4. The shape of the Normal Curve is _____
   Ans : bellshaped
   
   
5. The variable that assigns a real number value to an event in a sample space is called _____
   Ans : Random variable
   
6. box contains 20 tickets numbered from 1 to 20. A ticket is drawn randomly from the box. Find the box. Find the probability that the number on the ticket is Divisible by 5
   Ans : 1/5
7. The expected value of a random variable is its _____
   Ans : Mean
8. For a Poisson variate X, P(X = 1) = P(X = 2). The variance of X is:
   Ans : 2
   
   
9. Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called __
   Ans : Null hypothesis
10. For a standard normal variate, the value of mean is?
    Ans : 0
11. The covariance of two independent random variable is _____
    Ans : 0
12. Departure from symmetry is called:
    Ans : Skewness
    
    
13. Find which of the following is a Continuous random variable?
    Ans : Life of an electric fan
14. If P(x) = 0.5 and x = 4, then E(x) = ?
    Ans : 2
15. For a positively skewed distribution, mean is always:
    Ans : Greater than mode
16. A ticket drawn from a box a containing 30 tickets and a number on it is observed. Obtain the probability that ticket drawn has a number less than 7,
    Ans : 1/5
    
    
17. Four cards are drawn at random from a pack of 52 cards. Find the probability that they are a king, a queen, a jack and an ace.
    Ans : 256/270725
18. Six magazines are placed at random in a shelf. Find probability that a particular pair of magazines shall be : Always together
    Ans : 1/3
19. The correlation coefficient is used to determine:
    Ans : The strength of the relationship between x and y variables
20. A bag contains 12 white and 18 black balls. The balls are drawn at random. Find the probability if both are white
    Ans : 66/435
    
    

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