A company specializes in installing and servicing central heating furnaces. In the pre- winter period, service calls may result in an order a new furnace. The table shows estimated probabilities for numbers of new furnace orders generated in this way in the last two weeks of September.

Number of Orders

0

1

2

3

4

5

Probability

0.10

0.14

0.26

0.28

0.15

0.07

Let X be the number of orders in September, and Y be the number of orders in October. If Y is defined as Y=3X-2, then find the mean number of orders in the last two weeks of October.

d.Find the standard deviation of the number of orders in the last two weeks of October.