Question: 1) The amounts a soft drink machine is designed to dispense for each drink are normallydistributed, with a mean of 11.7fluid ounces and a standard

1) The amounts a soft drink machine is designed to dispense for each drink are normallydistributed, with a mean of 11.7fluid ounces and a standard deviation of 0.2fluid ounce. A drink is randomly selected.

(a) Find the probability that the drink is less than 11.6fluid ounces.

(b) Find the probability that the drink is between 11.4and 11.6fluid ounces.

(c) Find the probability that the drink is more than 12.2fluid ounces. Can this be considered an unusualevent? Explain your reasoning.

2)Find the probability and interpret the results. Ifconvenient, use technology to find the probability. During a certain week the mean price of gasoline was $2.709 per gallon. A random sample of 32gas stations is drawn from this population.What is the probability that the mean price for the sample was between $2.688and $2.733thatweek? Assume sigmaequals=$0.0480.

a)The probability that the sample mean was between $2.688and $2.733is? (Round to four decimal places asneeded.)

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