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Use this table to answer the following questions. # of siblings 0-2 3-5 6 or more...

Use this table to answer the following questions.

# of siblings 0-2 3-5 6 or more Total
Broncos Fan 9 10 17 36
Not a Broncos Fan 2 6 3 11
Total 11 16 20 47

a) If a random a person was selected, what would be the probability that the person was not a Broncos fan ?
b) Given that a person is a Broncos fan, what is the probability that they have 6 or more siblings?
c) Given that a person has 3-5 siblings, what is the probability that the person is not a Broncos fan?
d) If a random person was selected, what would be the probability that the person was a Broncos fan?
e) If a random person was selected, what would be the probability that the person is not a Broncos fan and has 3-5 siblings?
f) If a random person was selected, what would be the probability that the person is not a Broncos fan or has 0-2 siblings?
g)If a random a person was selected, what would be the probability that the person was a Broncos fan and has 3-5 siblings?

Solutions

Expert Solution

Given Table :

No of siblings 0-2 3-5 6 or more Total
Broncos Fan 9 10 17 36
Not a Broncos Fan 2 6 3 11
Total 11 16 20 47

a) The probability that the person was not a Broncos fan :

P(person was not a Broncos fan) = Total No of Not a broncos fan / Grand Total

P(person was not a Broncos fan) = 11/47 = 0.2340

The probability that the person was not a Broncos fan is 0.234

b) The probability that they have 6 or more siblings:

P(6 or more siblings Broncos fan) =17/36 = 0.4722

The probability that they have 6 or more siblings is 0.4722

c) that a person has 3-5 siblings

The probability that the person is not a Broncos fan

p(person is not a Broncos fan) = 6/16 = 0.3750

The probability that the person is not a Broncos fan is 0.3750

d) The probability that the person was a Broncos fan :

P(person was a Broncos fan) = 36/47 = 0.76596 = 0.7660

The probability that the person was a Broncos fan is 0.7660

e)probability that the person is not a Broncos fan and has 3-5 siblings:

P(person is not a Broncos fan and has 3-5 siblings) = 6/47 = 0.1277

Probability that the person is not a Broncos fan and has 3-5 siblings is 0.1277

f) probability that the person is not a Broncos fan or has 0-2 siblings :

P(person is not a Broncos fan or has 0-2 siblings) = P(Not a broncos fan) + P(0-2 siblings) - P( not brabncos fan and 0-2 siblings)

P(person is not a Broncos fan or has 0-2 siblings) =

P(person is not a Broncos fan or has 0-2 siblings) = 20/47 = 0.4255

Probability that the person is not a Broncos fan or has 0-2 siblings​​​​​​​ is 0.4255

g)the probability that the person was a Broncos fan and has 3-5 siblings:

P(person was a Broncos fan and has 3-5 siblings) = 10/457= 0.2128

milcah answered 1 year ago
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