The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.
According to the statement
We have given that the in a survey showing that the approximately 20% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain.
And we have to find the probability on the some given conditions.
So, For this purpose, we know that the
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
Now,
A. Here n = 20, P = 0.1, And X ≥ 1. Then
The probability that at least one tie is too tight P(≥ 1) = 1 - P(0)
P(≥ 1) = 1 - 0.12
P(≥ 1) = 0.878.
And
B. Here P(≤2) = 0.67 Then
The probability that more than two ties are too tight P(≥ 3) = 1 - P(≤2)
P(≥ 3) = 1 - 0.67
P(≥ 3) = 0.323
And
C. The probability that none are too tight P(0) = 0.122.
And
D. Here n =20, P = 0.1 and X≤2
The probability that at least 18 are NOT too tight P(X≤2) = 0.67.
So, The probabilities that the at least one tie is too tight is 0.878 and more than two ties are too tight is 0.323 and none are too tight is 0.122 and at least 18 are NOT too tight is 0.67.
Learn more about probabilities here
brainly.com/question/24756209
Disclaimer: This question was incomplete. Please find the full content below.
Question:
A research team conducted a study showing that approximately 20% 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
A. What is the probability that at least one tie is too tight?
B. What is the probability that more than two ties are too tight?
C. What is the probability that none are too tight?
D. What is the probability that at least 18 are NOT too tight?
#SPJ4
