MATH-1P98-Webwork-3-Attempt-3

# MATH-1P98-Webwork-3-Attempt-3 - Aanjaneya Sood Assignment...

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Aanjaneya Sood MATH1P98D02FW2016 Assignment WeBWorK Assignment 3 due 10/30/2016 at 02:19am EDT Problem 1. 2. (1 pt) x 12 13 14 15 16 P ( x ) 0 . 2 0 . 2 0 . 1 0 . 1 0 . 4 Given the discrete probability distribution above, determine the following: (a) P ( x < 16 ) = (b) P ( x > 13 ) = (c) P ( x = 14 ) = Answer(s) submitted: (incorrect) Correct Answers: 0.6 0.6 0.1 Problem 2. 5. (1 pt) Suppose the random variable x is best described by a normal distribution with μ = 24 and σ = 7 . 8. Find the z -score that corresponds to each of the following x val- ues. (a) x = 38 z = (b) x = 39 z = (c) x = 16 z = (d) x = 22 z = (e) x = 36 z = (f) x = 23 z = Answer(s) submitted: (incorrect) Correct Answers: 1.79487179487179 1.92307692307692 -1.02564102564103 -0.256410256410256 1.53846153846154 -0.128205128205128 Problem 3. 1. (1 pt) The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was pro- duced: X 0 1 2 3 4 P(X) 0.33 0.328 0.206 0.077 0.059 Find the following probabilities: A. An echinacea user has more than one infection per year B. An echinacea user has no infections per year C. An echinacea user has between one and three (inclusive)

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