The weight of corn chips dispensed into a 14-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 14.5 ounces and a standard deviation of 0.2 ounce. suppose 100 bags of chips are randomly selected. find the probability that the mean weight of these 100 bags exceeds 14.6 ounces.

The probability that a normally distributed dataset with a mean, μ, and statndard deviation, σ, exceeds a value x, is given by



Given that the weight of corn chips dispensed into a 14-ounce bag by the dispensing machine is a normal distribution with a mean of 14.5 ounces and a standard deviation of 0.2 ounce.

If 100 bags of chips are randomly selected the probability that the mean weight of these 100 bags exceeds 14.6 ounces is given by



Therefore, the probability that the mean weight of these 100 bags exceeds 14.6 ounces is 0.

Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,