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Find the area under the standard normal curve between [tex]z = 0.35[/tex] and [tex]z = 1.37[/tex]. Round your answer to four decimal places, if necessary.

Answer :

Final answer:

The area under the standard normal curve between z=0.35 and z=1.37 is found by taking the difference of areas to the left of z=1.37 and z=0.35 from the z-table. The calculated area is 0.2779, rounded to four decimal places.

Explanation:

To find the area under the standard normal curve between z=0.35 and z=1.37, we need to refer to a z-table, which provides the area to the left of a given z-score in a standard normal distribution. To find the required area, we will calculate the area to the left of z=1.37 and subtract the area to the left of z=0.35 from it.

Using the z-table:

  • The area to the left of z=0.35 is approximately 0.6368.
  • The area to the left of z=1.37 is approximately 0.9147.

By subtracting the two areas:

Area between z=0.35 and z=1.37 = 0.9147 - 0.6368 = 0.2779.

Therefore, the area under the standard normal curve between z=0.35 and z=1.37 is 0.2779, rounded to four decimal places, if necessary.

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