Use the appropriate normal distribution to approximate the resulting binomial di
ID: 3326668 • Letter: U
Question
Use the appropriate normal distribution to approximate the resulting binomial distribution.
Colorado Mining and Mineral has 900 employees engaged in it mining operations. It has been estimated that the probability of a worker meeting with an accident during a 1–year period 0.1. What is the probability that more than 80 workers will meet with an accident during the 1-year period? (Round your answer to four decimal places.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Explanation / Answer
solution:
n = 900
p = 0.1
q = 1-p = 1 - 0.1 = 0.9
binomil probability distribution
Formula:
P(k out of n )= n!*pk * qn-k / k! *(n - k)!
P( x > 80 ) = 900!*0.181 * 0.9900-81 / 81! *(900 - 81)!+..........................+ 900!*0.1900 * 0.9900-900 / 900! *(900 - 900)!
= 0.8549
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