Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.   Forty dash three   percent of adults say that they have cheated on a test or exam before. You randomly select eight   adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is​ (a) exactly four ​, ​(b) more than two ​, and​ (c) at most five . ​(a) Upper P left parenthesis 4 right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) ​(b) Upper P left parenthesis more than two right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) ​(c) Upper P left parenthesis at most five right parenthesis equalsnothing ​(Round to three decimal places as​ needed.) Which of the events are​ unusual? Select all that apply.     A. The event Upper P left parenthesis 4 right parenthesis   is unusual.   B. The event Upper P left parenthesis more than two right parenthesis   is unusual.   C. The event Upper P left parenthesis at most five right parenthesis   is unusual.   D. None of the events are unusual.

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Find the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities.
 
Forty dash three
 

percent of adults say that they have cheated on a test or exam before. You randomly select

eight
 

adults. Find the probability that the number of adults who say that they have cheated on a test or exam before is​ (a) exactly

four
​,

​(b) more than

two
​,

and​ (c) at most

five
.
​(a)
Upper P left parenthesis 4 right parenthesis

equalsnothing

​(Round to three decimal places as​ needed.)
​(b)
Upper P left parenthesis more than two right parenthesis

equalsnothing

​(Round to three decimal places as​ needed.)
​(c)
Upper P left parenthesis at most five right parenthesis

equalsnothing

​(Round to three decimal places as​ needed.)
Which of the events are​ unusual? Select all that apply.
 
 
A.
The event
Upper P left parenthesis 4 right parenthesis
 
is unusual.
 
B.
The event
Upper P left parenthesis more than two right parenthesis
 
is unusual.
 
C.
The event
Upper P left parenthesis at most five right parenthesis
 
is unusual.
 
D.
None of the events are unusual.
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