3 The weights of bananas sold by a supermarket are modelled by a Normal distribution with mean 205 g and standard deviation 11 g .
- Find the probability that the total weight of 5 randomly selected bananas is at least 1 kg .
When a banana is peeled the change in its weight is modelled as being a reduction of \(35 \%\).
- 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 .
- Find the probability that the total weight of a smoothie is less than 700 g .