Answer:
Hello! Your answer would be, D)
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given that there is a group of 17 people in a party. There takes place a number of hand shakes between them.
To show that there is always two people who shake hands with the same total number of people.
If possible let each person did a different number of handshake.
We know that since there are 17 people, there cannot be more than 16 hand shakes for any one in the group.
Hence if different hand shakes must be 0,1,2...16
Consider the last person having 16 hand shakes. He has shaken hand with each other person in the group thus making it clear that no one could have done 0 hand shakes. Since we get a contradiction, our assumption was wrong. That is, there is always two people who shake hands with the same total number of people.
A) The empirical rule tells you the probability of being within 1 standard deviation of the mean is 68%.
b) The probability that the sample mean falls within 3 standard deviations* of the mean is 99.7%.
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* The standard deviation of the sample mean is 1/√9 = 1/3 of the standard deviation of an individual sample. Hence the same limits (90-110) now cover 3 standard deviations of the sample mean.
You have to use the Pythagoreas theorem where you do 3 squared + 4 squared=25
Then you square root 25 which is 5 so
c is 5