Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
our decimal places.) The area to the right of z = 0.05 is____________.
1 answer:
Answer:
Step-by-step explanation:
The normal distribution curve standard is bell shaped having mean =0 and std devition =1.
This is symmetrical about the y axis i.e. mean. More than 99% of the area under the curve lie between z=-3 to z=3
To find the area to the right of z =0.05 is equivalent to
calculating the
Probability that Z >0.05
= P(Z>0.05)
=0.5-0.0199
=0.4801
(the sketch is attached)
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You would use the formula for the specific term you wish to find;
The formula is:
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62
And so:
The formula is:
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term
For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62
And so: