Ottawa Public Health collects beach water samples every day during the summer. A non-swimming advisory is issued for a beach if bac- teria level is over 200E.coli per 100 ml of water tested. Assume that the bacteria level is a normal random variable with mean = 120 and standard deviation o= 50. What is the probability that a non-swim advisory will be issued for Mooney's Bay beach for at least two Canada Days among the next 5 Canada Days? A) 0.027 B) 0.246 C) 0.055 D) 0.163 E) 0.378

The advertised fuel economy of the 2020 Toyota Camry model with 4 cylinders and a 2.5 liter engine is 34 miles per gallon (mpg). The observed fuel economy among drivers of that vehicle is slightly lower. The distribution of those values is approximately normal with a mean mpg is 33.5. When a model of this vehicle is randomly selected, the probability that its mpg is 2.8 standard deviations above the mean is 0.39. Find the probability a randomly selected model of this vehicle has mpg 2.8 standard deviations below the mean. Express the answer as a decimal value rounded to the nearest hundredth. Pay attention to the side of the diagram you make.

A fair coin is flipped 80 times and the number of heads that occur is noted. A random variable x is defined as the number of heads. Find the expected value, variance, and standard deviation

Suppose that the miles-per-gallon rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 38.8 mpg and 4.1 mpg, respectively.   What is the probability that a randomly selected passenger car gets at least 45 mpg? What is the probability that a randomly selected passenger car gets between 35 and 40 mpg? An automobile manufacturer wants to build a new passenger car with an mpg rating that improves upon 99% of existing cars. What is the minimum mpg that would achieve this goal?