Based on its analysis of the future demand for its products, the

financial department at company A has determined that there is a 0.17 probability

that the company will lose RM1.2 million during the next year, a 0.21 probability

that it will lose RM0.7 million, a 0.37 probability that it will make a profit of RM0.9

million, and a 0.25 probability that it will make a profit of RM2.3 million.

a) Let X be a random variable that denotes the profit earned by this company

during the next year. Write the probability distribution of X.

b) Find the mean and standard deviation of the probability distribution of part a.

Give a brief interpretation of the value of the mean.