Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.   A survey of adults in a region found that 79​% have encountered fraudulent charges on their credit cards. You randomly select 100 adults in the region. Complete parts​ (a) through​ (d) below.       Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.     A. ​No, because nq<5.   B. ​No, because np<5.   C. ​Yes, because both np≥5 and nq≥5. Your answer is correct.   ​(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is​ (a) exactly 81​, ​(b) at least 81​, and​ (c) fewer than 81.   nothing ​(Round to four decimal places as​ needed.)

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Author:Amos Gilat
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Determine whether you can use the normal distribution to approximate the binomial distribution. If you​ can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you​ cannot, explain why and use the binomial distribution to find the indicated probabilities.
 
A survey of adults in a region found that
79​%
have encountered fraudulent charges on their credit cards. You randomly select
100
adults in the region. Complete parts​ (a) through​ (d) below.
 
 
 
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
 
 
A.
​No, because
nq<5.
 
B.
​No, because
np<5.
 
C.
​Yes, because both
np≥5
and
nq≥5.
Your answer is correct.
 
​(a) Find the probability that the number who have encountered fraudulent charges on their credit cards is​ (a) exactly
81​,
​(b) at least
81​,
and​ (c) fewer than
81.
 
nothing
​(Round to four decimal places as​ needed.)
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