A weekend TV game show called rolling a dice is running each week

Subject:StatisticsPrice:3.87 Bought7

Share With

A weekend TV game show called rolling a dice is running each week. For each roll, if the dice shows an odd number the participate earns 5 dollars and otherwise, he gets nothing. Each participate can roll the dice 20 times. Let X denote the number times the dice shows an odd number.

a) (2 mark) Calculate the average earning of a participate.

b) (4 marks) Calculate the probability that ???? ? 2 (show your final answer correct to four decimal places).

c) (5 marks) Under appropriate condition, a Binomial random variable X can be approximated by a Normal random variable Y with the same mean and standard deviation. In doing so, we need to apply a continuity correction. That is

???? (???? ? ????) ≈ ???? (???? ? ???? + 0.5).

Calculating the probability that ???? ≤ 6 by using Normal approximation with continuity correction.