LIME SPRING WEEK 8 FINAL EXAM
CERTIFICATION TEST SCRIPT 2026 FULL
QUESTIONS AND SOLUTIONS GRADED A+
⩥ If a six sided die is tossed two times and "3" shows up both times, the
probability of "3" on the third
trial is:
a) much larger than any other outcome
b) much smaller than any other outcome
c) 1/6
d) 1/216. Answer: C
⩥ One half of all U.S. households pay bills electronically (source:
Kingsport Times-News). If seven U.S
households are randomly selected, what is the probability that exactly
two pay bills electronically?
a) 0.1641
b) 0.7734
c) 0.2266
, d) 0.9375
e) 0.0625
[ BinomPDF( 7, 0.5, 2) ]. Answer: A
⩥ Suppose the Phillies have won 65% of their games this season and the
chance of winning is the same for
every team they play. What is the probability that they win the National
League East if they need at least
eight wins out of their last ten games?
a) 0.1757
b) 0.9140
c) 0.0860
d) 0.2616
e) 0.7384
[ 1 - BinomCDF( 10, 0.65, 7 ) ]. Answer: D
⩥ Heights of males are said to be normally distributed with a mean of
69.1 inches and a standard
deviation of 2.9 inches. Determine the interval of heights which would
be expected to contain 95% of all