Help mathxl.com/Student/PI Do Homework Kimberly Pacheco mework aspx homeworkl de

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Help mathxl.com/Student/PI Do Homework Kimberly Pacheco mework aspx homeworkl de 41025961 3&questionlda; 1&flushed; false8cldt 4326093&centerw; Homework: Math 112: TTh 1-3 Score: 0 of 1 pt Section 7.3 Homework 1 of 10 (3 complete) 7.3.35 HW Score: 20%, 2 of 10 pts According to a candy company, packages of certain candy contain 19% orange candies. Find the approximate probability a sample of 300 candies will contain 23% or more orange candies. that the random Question Holp Using a normal approximation, what is the probability that at least 23% of randomly sampled candies will be orange? P (P20.23) 300 (Round to three decimal places as needed. ter your answer in the answer box and then click Check Answer. Clear All parts showing To see what to study next, go to your Study Plan

Explanation / Answer

(1) n = 300, p = 0.19, q = 1 - p = 0.81

= np = 300 * 0.19 = 57

= (npq) = (300 * 0.19 * 0.81) = 6.795

x = 300 * 0.23 = 69

z = (x - )/ = (69 - 57)/6.795 = 1.7673

P(x > 69) = P(z > 1.766) = 0.039

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