Suppose the proportion of the unemployed in a locality is 0.1. (i) ( 4 points).What is the probability of getting 25 or more unemployed people in a sample of n = 100, when you ignore the "Continuity Correction"? ( ii) ( 5 points). What is the probability in Q#3 (a)- (i) above when you apply the "Continuity Correction"? (b) (8 points). Suppose X ~ N ( µ , σ = 80.0 ), and suppose you require that P( ǀ x + - µ │< α ) = 0.95 where x + is the sample mean and the tolerance limit α is known.

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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