Please answer both questions using a minimum of 100 words. Use examples or references to support the solution. All reference sources and examples should be based only in USA. A common question many...

Please answer both questions using a minimum of 100 words. Use examples or references to support the solution. All reference sources and examples should be based only in USA.

1. A common question many have is why study statistics in the first place.

1. Say we have a sample of 100 with mean 5 and std of 0.5 and you do not know the Population Sigma. How do you go about calculating different probabilities--say an item was selected at random and we wanted to know how far it is from the mean or the probability that it is at least 4.5 or more?

Please answer both questions using a minimum of 100 words. Use examples or references to support the solution. All reference sources and examples should be based only in USA. 1. A common question many have is why study statistics in the first place. 2. Say we have a sample of 100 with mean 5 and std of 0.5 and you do not know the Population Sigma. How do you go about calculating different probabilities--say an item was selected at random and we wanted to know how far it is from the mean or the probability that it is at least 4.5 or more?