Pregunta
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Responder
The probability
is approximately
.
Solución
We are given a standard‐normal probability:
- First, look up (or use a calculator for) the cumulative probability for
. Standard normal tables give:
- Next, use the symmetry of the normal distribution to compute:
A table gives:
So,
- Now, calculate the probability:
- The problem expresses this probability as:
To find the value to fill in the box, we equate:
Solving for the blank:
Thus, the probability can be written as:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To find
, we can use the standard normal distribution table (z-table). First, we need to find the area to the left of each z value. For
, the cumulative probability is approximately 0.4099, and for
, it is about 0.9890.
Now, we calculate the probability as:
So, we can rewrite the equation as:
Thus,
.

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