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question 13 points 3 find the area that the standard normal variate lie…

Question

question 13 points 3

find the area that the standard normal variate lies between -1.47 and 0.

0.4292

0.4306

Explanation:

Define the probability interval

Using the Interval Probability knowledge point

$$ P(-1.47 \le Z \le 0) $$

Apply symmetry properties

Using the Normal Distribution Properties knowledge point

$$ P(-1.47 \le Z \le 0) = P(0 \le Z \le 1.47) = P(Z \le 1.47) - P(Z \le 0) $$

Evaluate using standard normal values

Using the Standard Normal Table knowledge point

$$ LATEXBLOCK0 $$

Answer:

  • (A) 0.4292 (Correct answer)
  • (B) 0.4306