3. You are testing water quality at local beaches and find that 63% of water samples collected contained dangerous levels of the bacteria E. coli. Suppose you select two random and independent samples: (3 marks)

1. What is the probability that both samples contain dangerous levels of E. coli?

2. What is the probability that neither sample contains dangerous levels of E. coli?

3. What is the probability that at least one of the samples contains dangerous levels of E. coli?