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18. Young children up to two years of age are often diagnosed otitis media, an infection of the middle ear. The probability distribution of the occurrence of otitis media during the first two years of life is given in the following table. with which is X number of occurrences 0 1 2 34 5 6 0.09 0.22 0.32 0.20 0.12 0.04 0.01 (a) What is the standard deviation of the number of occurrences of otitis media in young children? Answer:1.319 (b) Construct a histogram of the probability distribution. (4.2.10)

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with otitis media, whlch is ain 18. Young infection of the middle ear. The probability distribution of the occurrence of otitis medla during up to two years of age are often the first two years of life is given in the following table. X number of occurrences 0.09 0.22 0.20 0.12 0.04 0.01 e) What is the standard deviation of the mumber of occurrences of otitis media in young children? 1.319 Ans.: xp(x) P(Xx)x(x) x2p(x) 0.09 0.22 0.32 0.20 0.12 0.04 0.01 0.00 0.22 0.64 0.60 0.48 0.20 0.06 0.00 0.22 1.28 1.80 1.92 1.00 0.36 Σ xp(x)-2.20 Σ x22(x)-6.58 E(x)-Σ xp(x)-2.20. E(X)-Σ x22(x) 6.58 Standard deviation ơ-je (X)-(E(X))-\16.58-(2.20). 1.319

0 D) Construct a histogram of the probability distribution, (4210 0.09 0.22 0.32 0.20 0.12 0.04 0.01 Histogram 0.35 0.30 0.15 13 14 15 16 17 18 19 0.10 0.05 0.00

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