Question

ebLearn Math & Stats for Aero, Mech & Auto (MATH2124_1950) Student Test Page - Statistics :3 Question ........ Question 7 (1 mark) Attempt 1 Each hour an operator inspects 100 pencils and determines if they are acceptable. Historically the proportion of unacceptable pencils has been 0.012. Find the probability that there are no more than (less than or equal to) 3 unacceptable pencils. Use the Normal approximation to the Binomial distribution Your answer can be rounded to three decimal digit accuracy when entered. Probability is = Skipped Previous... Submit... Menu... Pamer About PINK me ute of an email da t ed on this page for the purpose of Spam

Answer 1

Mean = np = 100*0.012 = 1.2

Standard deviation =   = 1.08885

npg = V100 * 0,012 *0.988

Hence,

P(No more than 3)

= P(X < 3.5) [Continuity Correction]

= P(z < (3.5 - 1.2)/1.08885)

= P(z < 2.112)

= 0.983