Probability

A player rolls a die and receives the same number of Rupees as the number of dots on the face that turns up. What should the player pay for ticket for each roll if he wants to make a profit of 1 rupees per throw of die in the long run ?

• 2.5 rupees

• 2 rupees

• 3.5 rupees

• 3 rupees

Probability of getting atleast 2 heads when 3 coins are tossed together is

• 0.89

• 0.761

• 0.841

• 0.784

Accidents occur with a Poisson Distribution at an average of 4 per week, that is, lambda=4. Then which of the following are correct ?

• The probability of more than 5 accidents in any one week is 0.215

• The probability of more than 5 accidents in any one week is 0.314

• The probability of that at least two weeks will elapse between accident is 0.00034

• The probability of that at least two weeks will elapse between accident is 0.00032

A biased Die is thrown 30 times and the number of Sixes seen is 8. If the die is thrown a further 12 times find the probability that a six will occur exactly twice

• 0.29

• 0.211

• 0.256

• 0.274

• 0.451

• 0.675

• 0.399

• 0.558

• 5/104

• 7/104

• 3/104

• 9/104

• 1/104

Suppose X is a Random Variable taking Values in {-2,-1,0,1,2,3,4,5} each with probability 1/8. Let Y=X^2. Find E[Y].