Q.2 Epilepsy is a chronic neurological disorder characterized by recurrent seizures. A large proportion of people with epilepsy do not have seizure control even with the best available medications. The following table gives the distribution of the number of seizures per year for a sample of 500 epilepsy patients who are using the same medication: # of seizure per year Frequency (# of 0 1 2 3 4 325 108 35 21 11 patients) Let Y be the number of seizures per year for a randomly chosen patient in this group. (a) Find the probability mass function of Y. (b) Find cumulative distribution function (cdf) and sketch it. (c) Find (i) measure of skewness (ẞ₁) and (ii) measure of kurtosis (ẞ2). (d) Compute P(Y ≥ 4). (e) Find moment generating function (mgf). (f) Find E(Y3) and V(Y + 3).

Q.2 Epilepsy is a chronic neurological disorder characterized by recurrent seizures. A large proportion of people with epilepsy do not have seizure control even with the best available medications. The following table gives the distribution of the number of seizures per year for a sample of 500 epilepsy patients who are using the same medication: # of seizure per year Frequency (# of 0 1 2 3 4 325 108 35 21 11 patients) Let Y be the number of seizures per year for a randomly chosen patient in this group. (a) Find the probability mass function of Y. (b) Find cumulative distribution function (cdf) and sketch it. (c) Find (i) measure of skewness (ẞ₁) and (ii) measure of kurtosis (ẞ2). (d) Compute P(Y ≥ 4). (e) Find moment generating function (mgf). (f) Find E(Y3) and V(Y + 3).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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