Assignment -1 for Second Semester Statistics Generic Student

Assignment based on lecture note 1 and lecture note 2

Total marks- 10

Section – 1

Find out the correct answers:

1. Suppose you are conducting a random experiment of throwing a coin until you get the first head.

(a) The sample space is – (i) finite ; (ii) Countable but not finite; (iii) not countable.

(b) Let Y denotes the number of tosses before getting the first head, then Y is a – (i) variable but not a random variable; (ii) Y is a random variable; (iii) Y is a constant.

2. Suppose you have rolled a dice twice-

(a) Let X denotes the number of sixes you have. Then the support of X is- (i){1,2}; (ii){0,1}; {0,1,2}

(b) The value of P[X=1] is – (i)1/36; (ii)5/18; (iii)25/36

Section – 2

1. Conduct an experiment of tossing a coin 30 times. Mention the sample space. From the obtained sample space make a statement about the biasedness of the coin.

Note: When Probability of getting head in a single toss is not ½ then we consider that coin is biased. (Don’t give arbitrary sample space without conducting the experiment and don't copy it from others.)

Try to submit this assignment via email by 8th July 2023. Don't forget to mention your name and hons subject in submission. Corresponding emails are : kuntal.statistics1986@gmail.com.