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).
390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.