Expected Probabilities

The probability that an item coming off a production line is defective is $\displaystyle 0.02$.
The factory produces $\displaystyle 5000$ items.
Calculate the expected number of defective items.

The probability of rain on any given day is $\displaystyle 0.15$.
Calculate the expected number of rainy days in a period of $\displaystyle 40$ days.

The probability that a candidate passes a driving test is $\displaystyle 0.9$.
$\displaystyle 250$ candidates sit the test.
Calculate the expected number of passes.

An outdoor attraction is open every day for $\displaystyle 75$ days.
The probability that bad weather forces it to close on any given day is $\displaystyle 0.12$.
Calculate the expected number of days it is open.

A factory produces $\displaystyle 9600$ units in a week.
$\displaystyle 1.5\%$ of units are expected to be faulty.
Calculate the expected number of faulty units.

A dealership sells $\displaystyle 380$ cars in a year.
The probability that a customer adds an extended warranty is $\displaystyle 0.35$.
The dealership makes a profit of $\displaystyle \pounds 120$ on each warranty.
Calculate the total expected profit from warranties.

A charity sells $\displaystyle 1200$ raffle tickets.
The probability that any one ticket wins a prize is $\displaystyle 0.005$.
Calculate the expected number of winning tickets.