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A research team conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities? (Round your answers to three decimal places.)

(a) at least one tie is too tight

(b) more than two ties are too tight

(c) no tie is too tight

(d) at least 13 ties are not too tight

User Rognon
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2 Answers

17 votes
17 votes
B



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User JustinBlaber
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21 votes
21 votes

Binominal distribution:

Given

Let 'T' be a random variable representing the number of ties that are too tight knotted.

Given approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, hence, probability of success will be

pHence, the probability that at least one tie is too tight is

0.878423.

(b) more than two ties are too tight.

P

(

T

>

2

)

=

1

P

(

T

=

0

)

P

(

T

=

1

)

P

(

T

=

2

)

=

1

20

C

0

(

0.1

)

0

(

0.9

)

20

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