The manager of the aerospace division of General Aeronautics has estimated the price it can charge for providing satellite launch services to

commercial firms. Her most optimistic estimate $($a price not expected to be exceeded more than $10$ percent of the time$)$ is $$2\mathrm{.}0$ million. Her most

pessimistic estimate $($ a lower price than this one is not expected more than $10$ percent of the time$)$ is $$1\mathrm{.}0$ million. The expected value estimate is

$$1\mathrm{.}5$ million. The price distribution is believed to be approximately normal.

The standard deviation of the launch price is

million.

The probability of receiving a price less than $$1\mathrm{.}2$ million is