A manufacturer fills jars with coffee - Edexcel - A-Level Maths Statistics - Question 7 - 2012 - Paper 1
Question 7
A manufacturer fills jars with coffee. The weight of coffee, $W$ grams, in a jar can be modelled by a normal distribution with mean 232 grams and standard deviation ... show full transcript
Worked Solution & Example Answer:A manufacturer fills jars with coffee - Edexcel - A-Level Maths Statistics - Question 7 - 2012 - Paper 1
Step 1
Find the probability that only one of the jars contains between 232 grams and $w$ grams of coffee
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Answer
Let p=P(232<W<w)=0.20.
Thus:
P(W<232)=0.80
For two jars, the probability that exactly one jar falls within this range can be calculated using the binomial distribution:
P(1extjar=232<W<w)=2p(1−p)=2∗0.20∗0.80=0.32.
