MathCastle
Statistics & DataHardThe Normal Distribution

The Normal Distribution · Hard problem

Test scores are normal with mean μ\mu and standard deviation σ\sigma. Two students are chosen at random, independently. What is the probability that both scored more than μ+σ\mu + \sigma? Use the table value Φ(1)=0.8413\Phi(1) = 0.8413 and give four decimal places.