Find the solution to the following linear, homogeneous recurrence with constant coefficients: =−1−−2+−3 for ≥2 with initial conditions =−=−=−43. the solution is of the form: =++ for suitable constants with < < . find these constants.
r1 =r2 =r3 =a1 =a2 =a3 =

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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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