Question
Asked Jul 21, 2019

In a survey of 3 of 4 students said the courts show too much concern for criminals.  Find the probability that at most 3 out of 7 randomly selected students will agree with this statement.

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Expert Answer

Step 1

According to the given question, in a survey of 3 of 4 students said the courts show too much concern for criminals. 

Therefore the probability of success is defined as:

 

p=0.75
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p=0.75

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Step 2

Let us X be the random variable shows that the number of students will agree with this statement.

Therefore X follows binomial distribution with n=7 and p=0.75 or,

x Bin(n 7, p= 0.75)
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x Bin(n 7, p= 0.75)

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Step 3

 Therefore the probability that at most 3 out of 7 randomly sele...

Р(X < 3)
— Р(X - 0)+ P(X -1) + P(X — 2)+Р(X — 3)
"C,(p(-p
х-с
-2С (p'1-p)*
х-0
-С.(р'1- р)" + "с, (р'а - р)"* +"с,(p'а-р)* +"ҫ,(pia-p
0.000061 0.00128+0.01153+0.0577
7-0
7-3
0.07055
_
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Р(X < 3) — Р(X - 0)+ P(X -1) + P(X — 2)+Р(X — 3) "C,(p(-p х-с -2С (p'1-p)* х-0 -С.(р'1- р)" + "с, (р'а - р)"* +"с,(p'а-р)* +"ҫ,(pia-p 0.000061 0.00128+0.01153+0.0577 7-0 7-3 0.07055 _

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