The weights of newborn puppies in a specific breed, WWW grams, are normally distributed with W∼N(450,402)W \sim \text{N}(450, 40^2)W∼N(450,402).
Find the probability that a randomly selected puppy weighs less than 510 g.
Find the upper quartile, Q3Q_3Q3, of WWW.
Write down the lower quartile, Q1Q_1Q1, of WWW.
An outlier is defined as any value of WWW such that W<hW < hW<h or W>kW > kW>k, where
h=Q1−1.5×(Q3−Q1)andk=Q3+1.5×(Q3−Q1) h = Q_1 - 1.5 \times (Q_3 - Q_1) \quad \text{and} \quad k = Q_3 + 1.5 \times (Q_3 - Q_1) h=Q1−1.5×(Q3−Q1)andk=Q3+1.5×(Q3−Q1)Find the value of hhh and the value of kkk.
Find the probability that a randomly selected puppy’s weight is an outlier.
Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
