H1 Math

H1 Math

1. Statistics

   • Probability
     • Formulas
     • Probability Trees
   • Binomial Distribution
     • Assumptions
       • 1) The experiment consists of n repeated trials
       • 2) Each trial has two possible outcomes: either success or failure
       • 3) The probability of a success is same in each trial
       • 4) The trials are independent
     • X ~ B (n , p )
     • 1) Mean = E(X) = np 2) Variance = Var(X) = npq / np(1-p)
     • Table method of finding unknown (Using GC)
       • Let Y be the rv " no. of melted dark chocolates out of n" Y~N ( n, 0.05). Find P(Y=0) > 0.4,
         • use GC -> Y=(binomial equation) |2nd | graph | scroll to find answer
           • Present: when n =16, P(Y=0)= 0.44013 when n=17, P(Y=0)=0.41812 when n=18, P(Y=0)=0.3972
   • Normal Distribution
   • Sampling
   • Hypothesis Testing
   • Correlation and Regression
   • Functions and Graphing

2. Pure Math

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