The tensile strength, SSS Newtons (N), of a particular type of fiber-optic cable is modeled by a normal distribution with a mean of 120 N and a standard deviation of 15 N.
Determine the probability that a randomly selected cable has a tensile strength less than 147 N.
Find the value of kkk such that P(S<k)=0.1056P(S < k) = 0.1056P(S<k)=0.1056.
Find the value of mmm such that P(S>m)=0.1056P(S > m) = 0.1056P(S>m)=0.1056.
Calculate P(k<S<m)P(k < S < m)P(k<S<m).
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.