1. According to the 2008 ARIS American Religious Survey ( Source : www.americanr
ID: 3064280 • Letter: 1
Question
1. According to the 2008 ARIS American Religious Survey (Source: www.americanreligionsurvey-aris.org), 3.52% of U.S. adults classify themselves as "non-denominational Christians". Assume that this percentage is true for the current population of U.S. adults. Find the probability that in a random sample of 600 U.S. adults, the number who classify themselves as non-denominational Christians is exactly 27
Round your answer to four decimal places.
the absolute tolerance is +/-0.007
2. According to the 2008 ARIS American Religious Survey (Source: www.americanreligionsurvey-aris.org), 3.52% of U.S. adults classify themselves as "non-denominational Christians". Assume that this percentage is true for the current population of U.S. adults. Find the probability that in a random sample of 600 U.S. adults, the number who classify themselves as non-denominational Christians is 14 to 18.
Round your answer to four decimal places.
the absolute tolerance is +/-0.007
Explanation / Answer
Q1.
pmf of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
where
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial
a.
P( X = 27 ) = ( 600 27 ) * ( 0.0352^27) * ( 1 - 0.0352 )^573
= 0.035846 ~ 0.0358
Q2.
P( X = 14 ) = ( 600 14 ) * ( 0.0352^14) * ( 1 - 0.0352 )^586
= 0.0263
P( X = 15 ) = ( 600 15 ) * ( 0.0352^15) * ( 1 - 0.0352 )^585
= 0.0374
P( X = 16 ) = ( 600 16 ) * ( 0.0352^16) * ( 1 - 0.0352 )^584
= 0.0499
P( X = 17 ) = ( 600 17 ) * ( 0.0352^17) * ( 1 - 0.0352 )^583
= 0.0626
P( X = 18 ) = ( 600 18 ) * ( 0.0352^18) * ( 1 - 0.0352 )^582
= 0.0739
P(14<=x<=18) = 0.0263 + 0.0374 + 0.0499 + 0.0626 + 0.0739 = 0.2501
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.