A random variable X represents the number of episodes of otitis media.pdf
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A random variable X represents the number of episodes of otitis media in the first two years of life. (Otitis media is a disease of middle ear, which is very common in babies in the first two years of life). This random variable has a probability distribution function given in Table 1. Table 1: Probability distribution of number of episodes (a) (5 points.) Find the expected value and standard deviation of the number of episodes of otitis media in the first two years of life. (Calculator instructions are on slides Chapter 5). = (b) (5 points.) Find the probability that number of episodes lies within two standard devia-: tions away from the mean; that is, determine P ( 2 X + 2 ) . Show work. - Press STAT then press EDIT - Enter values of x into column L 1 and values of p ( x ) into column L2 - Go to the very top of L 3 - Type L3=L1*L2 - Press Second MODE - Press Second STAT, go to MATH, go to 5:sum - Sum(second 3) - Press STAT then press EDIT - Values of x are in L 1 and values of p ( x ) in L 2 - Go to the very top of L 4 - Type L 4 = L 1 2 L 2 - Press Second MODE - Press Second STAT, go to MATH, go to 5:sum - Sum(second 4) - Answer 3.643 - Ans-1.4^2.
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