1) Assume the random variable x is normally distributed with mean μ =83 and standard deviation σ=44. Find the indicated probability.
P(x<76?) ?(Round to four decimal places as? needed.)
2) The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 11.7 fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.
?(a) Find the probability that the drink is less than 11.5 fluid ounces.
?(b) Find the probability that the drink is between 11.2 and 11.5fluid ounces.
?(c) Find the probability that the drink is more than 12.1fluid ounces. Round to four decimal places as? needed.)Can this be considered an unusual? event? Explain your reasoning.