The amount of mustard dispensed from a standard dispenser is normally distributed with a mean of 0.9oz and a variance of 0.01oz. If a family of six buys ten hotdogs total and dispenses mustard onto each one using the standard dispenser, what is the probability that more than 3 of them will have more than one ounce of mustard?
Let X denote the quantity of mustard on a hotdog (in oz). Then
P(more than one ounce of mustard on a hotdog) =
Let Y denote the number of hotdogs that have more than one ounce of mustard. Then
Required probability =
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