Part A: They are 2 1/4 inches apart on the map.
Part B: They are 13 miles apart.
Using the concept of standard deviation, it is found that the standard deviation of the data-set will remain the same.
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- The mean of a data-set is given by the <u>sum of it's observations, divided by the number of observations</u>.
- The standard deviation is given by the <u>square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values</u>.
- If all observations are increased by a value x, the mean will also increase by x.
- In the standard deviation, at the sum of the differences squared of each observation and the mean, each observation is increased by x, as is the mean, thus, the sum stays the same, while the standard deviation also stays the same.
A similar problem is given at brainly.com/question/18342323
Answer:140mph
Step-by-step explanation:
a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.
Each event is made up of two outcomes and they are random with the same success rate.
<h3>b. How to solve probability that exactly 5 had a bachelor</h3>
we have the following data n = 12, p = 0.27 and k = 5
We have to use the function to solve electronically
binompdf(n,p,k)
input the values
= binompdf(12,0.27,5)
This gives us
= 0.1255
<h3>(C) Probability that fewer than 5 have bachelor</h3>
We use the formula below
= binompdf(12,0.27,5-1)
This is = 0.7984
D. Probability of at least 5
1 - probability of fewer than 5
= 1 - 0.7984
= 0.2016
How to solve for the Mean = n*p
n = 12 , p = 0.27
Mean = 12*0.27 = 3.24
and
standard deviation = √npq
n = 12, p = 0.27 , q = 1- 0.27
= 0.73
sd = √12*.27*.73
= 1.54
Read more on binomial experiment here:
brainly.com/question/9325204
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