Mathematics - Probability and Statistics - Advanced - Probability distributions - Distribution Problems

10 problems: (1) 'X~Bin(8,0.3). Find P(X=2).' (2) 'X~Bin(20,0.5). Find mean and SD.' (3) 'Average 4 calls per hour. P(exactly 6 in an hour)?' (Poisson). (4) 'X~N(100,15²). P(X>115)?' (Z=1, use table→~0.16). (5) 'What percentile is X=130 if μ=100, σ=15?' (Z=2→~97.7th). (6) 'SAT scores ~N(1060,200²).