Answer:
The region between one standard deviation from the mean is (400,600) which should be 68.27% of the data.
Step-by-step explanation:
The mean of this data set is 500 and the standard deviation is 100. The data that are within one standard deviation of the mean, must be in the range between 400 and 600, which according to the normal curve should be about 68.27% of the samples. The shaded region is shown in red on the attached figure.
Alright, lets get started.
Please refer the diagram I have attached.
The red line indicates the movement of student.
The movement of bird is indicated by orange line.
There will a right angle triangle made with sides measuring
One side will be = 0.5 miles
second side will be =
The hypotenuse will be the orange one
So, using Pythagorean theroem,
Taking square root on both sides
So the bird has to fly 0.94 miles . : Answer
Hope it will help :)
