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Z is a standard normal random variable. The P(-1.5 < Z < 1.19)  A. 0.7953 B. 0.0711 C. 0.3621 D. 0.8162

Question

Z is a standard normal random variable. The P(-1.5 < Z < 1.19)  A. 0.7953 B. 0.0711 C. 0.3621 D. 0.8162

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Solution

To solve this problem, we need to find the area under the standard normal curve between -1.5 and 1.19. This is done by finding the cumulative probability for 1.19 and -1.5, then subtracting the smaller from the larger.

  1. Look up the cumulative probability for 1.19 in the Z-table. The value is approximately 0.8830.

  2. Look up the cumulative probability for -1.5 in the Z-table. The value is approximately 0.0668.

  3. Subtract the smaller cumulative probability from the larger one: 0.8830 - 0.0668 = 0.8162.

So, the answer is D. 0.8162.

This problem has been solved

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