Find the area under the standard normal curve between z=0.19 and z=2.18. round your answer to four decimal places, if necessary.
1 answer:
The area under the standard normal curve between z=0.19 and z=2.18 is,
P(0.19<z<2.18)= 0.4101
<h3>How can we calculate the area under the curve?</h3>To calculate the The area under the standard normal curve between z=0.19 and z=2.18, we are using two things,
<u>Step 1</u>: The formula,
P(0.19<z<2.18)= P(Z<2.18)- P(Z<0.19)
<u>Step 2</u>: The statistical values of the area under the curve we get from the picture.
Now we put the known values from the picture in the above formula, we get,
P(0.19<z<2.18)= P(Z<2.18)- P(Z<0.19)
Or, P(0.19<z<2.18)= 0.9854-0.5753
Or, P(0.19<z<2.18)= 0.4101
From the above calculation we can easily conclude that,
The area under the standard normal curve between z=0.19 and z=2.18 is,
P(0.19<z<2.18)= 0.4101
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Height of ledge, h = 2 m
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To calculate the horizontal distance from the edge of the ledge:
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v = velocity at the hill's bottom
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Making use of the principle of conservation of momentum in order to calculate the velocity after the inclusion, v' of the backpack:
Now, time taken for the fall:
Now, the horizontal distance is given by:
x = v't =