1.In the last 150 years there have been 22 significant economic crises. Assuming that the crises follow a Poisson distribution, What is the probability of experiencing 2 economic crises in a period of 10 years?

Introduce the answer to 3 decimal places.

2.

Our company has created a line of shoes with sizes according to the height of the wearer.

• Height under 170cm: size S.
• Height between 170 cm and 180cm: size M.
• Height over 180 cm: size L.

We want to get an estimate of how many shoes of each size we should send to our first store overseas. The mean height of the population in that region is 175 with an standard deviation 15, the height follows the normal distribution.

Out of 1000 shoes sold, what is the expected number of shoes of size M that will be sold?

Round the answer to the nearest integer.