The amount of wine dispensed into bottles at a winery has been observed to be approximately normally distributed with mean of mean of 749 ml and...
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The amount of wine dispensed into bottles at a winery has been observed to be approximately normally distributed

with mean of mean of 749 ml and standard deviation 2 ml. Since the Z-tables give probabilities with 4 decimal places, please submit your answer to 4 decimal places.

a) Determine the proportion of bottles that will have more than 751 mls dispensed into them.

b) Which R code would be used for the question above?


i) pnorm(751, mean=749, sd = 2)

ii) pnorm(1, mean=749, sd = 2, lower.tail=FALSE)

iii) 1 - pnorm(751, mean=749, sd = 2, lower.tail=FALSE)

iv) pnorm(751, mean=749, sd = 2, lower.tail=FALSE)

v) dnorm(751, mean=749, sd = 2, lower.tail=FALSE)


c) Determine the proportion of bottles that will have between 746 and 750.4 mls dispensed into them.

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