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Find a value of the standard normal random variable Z, Call it Z0, such that

a. P (Z Z0)=.2946
c. P(Z > Z0) = .6480
d. P(- Z0 ≤ Z ≤ Z0) = .8740

2 Answers

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Final answer:

To find the value of the standard normal random variable Z, we can use the invNorm function on a calculator or a standard normal probability table.

Step-by-step explanation:

To find the value of the standard normal random variable Z, we can use the invNorm function on a calculator or a standard normal probability table.

  1. For the first question, to find a value of Z0 such that P(Z < Z0) = 0.2946, we can use the calculator command invNorm(0.2946, 0, 1) to find Z0 = -0.55.
  2. For the second question, to find a value of Z0 such that P(Z > Z0) = 0.6480, we can use the calculator command invNorm(0.6480, 0, 1) to find Z0 = 0.39.
  3. For the third question, to find a value of Z0 such that P(-Z0 ≤ Z ≤ Z0) = 0.8740, we can find the area to the left of Z0 using the calculator command invNorm((1-0.8740)/2, 0, 1) to find Z0 = 1.28.

User ILovemyPoncho
by
7.3k points
2 votes
The answer is C hope this helped you out
User Guillaume Perrot
by
7.3k points
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