The number of kilometres travelled on 5 litres of petrol by a particular model of car is defined by the random variable ✗ and follows a normal distribution with mean 52 and standard deviation of 5.3. Express your answers correct to 3 significant figures, without any spaces. (i) Calculate the value associated with P(X > 60). (ii) Calculate the probability that on 5 litres of petrol a car can travel more than 60km. (iii) Calculate the probability that on 5 litres of petrol a car can travel between 60 km and 65 km.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The number of kilometres travelled on 5 litres of
petrol by a particular model of car is defined by
the random variable ✗ and follows a normal
distribution with mean 52 and standard
deviation of 5.3. Express your answers correct to
3 significant figures, without any spaces.
(i) Calculate the value associated with
P(X > 60).
(ii) Calculate the probability that on 5 litres of
petrol a car can travel more than 60km.
(iii) Calculate the probability that on 5 litres of
petrol a car can travel between 60 km and 65
km.
Transcribed Image Text:The number of kilometres travelled on 5 litres of petrol by a particular model of car is defined by the random variable ✗ and follows a normal distribution with mean 52 and standard deviation of 5.3. Express your answers correct to 3 significant figures, without any spaces. (i) Calculate the value associated with P(X > 60). (ii) Calculate the probability that on 5 litres of petrol a car can travel more than 60km. (iii) Calculate the probability that on 5 litres of petrol a car can travel between 60 km and 65 km.
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