Dr Faridon Amdjadi, Mechanical Engineerin Find the probability $$ P(-1.15

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To find the probability $$ P(-1.15 < z < 0.09) $$ using the standard normal distribution, we can use the cumulative distribution function (CDF) of the standard normal distribution, which gives us the probability that a standard normal random variable is less than a given value.

1. First, we need to find $$ P(z < 0.09) $$ and $$ P(z < -1.15) $$.

Using standard normal distribution tables or a calculator:

- $$ P(z < 0.09) $$ is approximately $$ 0.5359 $$.
- $$ P(z < -1.15) $$ is approximately $$ 0.1244 $$.

2. Now, we can find the probability $$ P(-1.15 < z < 0.09) $$ by subtracting the two probabilities:

$$
P(-1.15 < z < 0.09) = P(z < 0.09) - P(z < -1.15)
$$

$$
P(-1.15 < z < 0.09) = 0.5359 - 0.1244 = 0.4115
$$

Thus, the probability $$ P(-1.15 < z < 0.09) $$ is approximately $$ 0.4115 $$.

Since the answer you provided (0.5894) does not match this calculation, it seems there may have been a misunderstanding or error in the options provided. The correct probability is approximately $$ 0.4115 $$.
The probability $$ P(-1.15

Dr Faridon Amdjadi, Mechanical Engineerin
Find the probability using the standard normal distribution. Select the correct answer.
0.5894

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Dr Faridon Amdjadi, Mechanical Engineerin Find the probability using the standard normal distribution. Select the correct answer. 0.5894