A driving test is passed by $70\%$ of people at their first attempt. Find the probability that exactly five out of eight randomly selected people pass at their first attempt. [Write your answer correcting to three decimal places]

Research shows that the owners of $63\%$ of all saloon cars are male. Find the probability that exactly $20$ out of $30$ randomly selected saloon cars are owned by males. [Write your answer correcting to three decimal places]

Research shows that the owners of $63\%$ of all saloon cars are male. Find the probability that exactly $20$ out of $30$ randomly selected saloon cars are owned by females. 

In a particular country, $58\%$ of the adult population is married. Find the probability that exactly $12$ out of $20$ randomly selected adults are married. [Write your answer correcting to three decimal places]

A footballer has a $95\%$ chance of scoring each penalty kick that she takes. Find the probability that she scores from all of her next $10$ penalty kicks. [Write your answer correcting to three decimal places]

A footballer has a $95\%$ chance of scoring each penalty kick that she takes. Find the probability that she fails to score from exactly one of her next seven penalty kicks. [Write your answer correcting to three decimal places]

On average, $13\%$ of all tomato seeds of a particular variety fail to germinate within $10$ days of planting. Find the probability that $34$ or $35$ out of $40$ randomly selected seeds succeed in germinating within $10$ days of planting. [Write your answer correcting to three decimal places]

There is a $15\%$ chance of rain on any particular day during the next $14$ days. Find the probability that, during the next $14$ days, it rains on exactly $2$ days. [Write your answer correcting to three decimal places]

There is a $15\%$ chance of rain on any particular day during the next $14$ days. Find the probability that, during the next $14$ days, it rains on at most $2$ days. [Write your answer correcting to three decimal places]