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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Solution:
Given a circle of center, A with radius, r (AB) = 6 units
Where, the area, A, of the shaded sector, ABC, is 9π
To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.
To find the area, A, of a sector, the formula is
Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.
To find the length of the arc, s, the formula is
Substitute the variables into the formula to find the length of an arc, s above
Hence, the length of the arc, s, is 3π units.