A survey consists of asking kids in a particular neighborhood how many houses they visited while trick-or-treating. Theresults are given below:number of houses visited01-56-1011-20more than 20Numbers of kids 515254540a) Find the (empirical) probability distribution table for the above experiment.b) Based on the experiment, what is the (empirical) probability that a randomly selected kid will visit 6-10 houses?c) Based on the experiment, what is the (empirical) probability that a randomly selected kid will visit more than 5 houses?

Question
Asked Oct 11, 2019
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A survey consists of asking kids in a particular neighborhood how many houses they visited while trick-or-treating. The
results are given below:

number of houses visited 0 1-5 6-10 11-20 more than 20
Numbers of kids  5 15 25 45 40


a) Find the (empirical) probability distribution table for the above experiment.
b) Based on the experiment, what is the (empirical) probability that a randomly selected kid will visit 6-10 houses?
c) Based on the experiment, what is the (empirical) probability that a randomly selected kid will visit more than 5 houses?

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Expert Answer

Step 1

7.a.The (empirical) probability distribution table for the above experiment is obtained below:

A survey was conducted on kids that how much number of houses was visited while trick-or-treating.

The probability formula is,

Probability=(favorable number of cases)/(Total number of cases)

The required table is,

Number of
houses
visited
Number of
kids
More than 20 Total
6-10
1-5
11-20
5
15
25
45
40
130
Probability 5/130=0.0385
15/130=0.1154| 25/130-0.1923| 45/130=0.3462| 40/130=0.3077
1
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Number of houses visited Number of kids More than 20 Total 6-10 1-5 11-20 5 15 25 45 40 130 Probability 5/130=0.0385 15/130=0.1154| 25/130-0.1923| 45/130=0.3462| 40/130=0.3077 1

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Step 2

7.b. The (empirical) probability that a randomly selected kid will visit 6-10 houses is obtained below:

The required probability is,

P(Randomly selected kid will visit 6-10 houses)=0.1923.

Step 3

7.c. The (empirical) probability that a randomly selected kid will visit more than 5 ho...

(Randomly
Randomly
selected kid
P
selected kid
P
will visit 6-10
will visit 11-20
houses
(Randomly
houses
(Randomly selected
P kid will visit more
than 5 houses
selected
kid will
P
visit more
than 20
houses
[0.1923+0.3462+0.30 77]
0.8462
+
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(Randomly Randomly selected kid P selected kid P will visit 6-10 will visit 11-20 houses (Randomly houses (Randomly selected P kid will visit more than 5 houses selected kid will P visit more than 20 houses [0.1923+0.3462+0.30 77] 0.8462 +

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