2. The weights of bananas sold by a supermarket are modelled by a Normal distribution with mean 205 g and standard deviation 11 g . When a banana is peeled the change in its weight is modelled as being a reduction of \(35 \%\).
a) Find the probability that the weight of a randomly selected peeled banana is at most 150 g . Andy makes smoothies. Each smoothie is made using 2 peeled bananas and 20 strawberries from the supermarket, all the items being randomly chosen. The weight of a strawberry is modelled by a Normal distribution with mean 22.5 g and standard deviation 2.7 g .
b) Find the probability that the total weight of a smoothie is less than 700 g .
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