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Calculate the probability for P(z>2.48)

User Hiren Varu
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The probability that a standard normal random variable \(z\) is greater than 2.48 is approximately 0.0067.

To calculate the probability \(P(z > 2.48)\), where \(z\) is a standard normal random variable, you can use a standard normal distribution table or a calculator.

1. Refer to a standard normal distribution table or use a calculator with a normal distribution function.

2. Look up the z-score of 2.48 in the table or calculate it using the formula:
\[z = (x - \mu)/(\sigma),\] where \(x\) is the value,
\(\mu\) is the mean (which is 0 for the standard normal distribution), and
\(\sigma\) is the standard deviation (which is 1 for the standard normal distribution).

3. Once you find the z-score, look up the corresponding probability in the table or use the calculator.

4. The probability
\(P(z > 2.48)\) is the area under the standard normal curve to the right of the z-score.

5. In this case,
\(P(z > 2.48) \approx 0.0067\).

Therefore, the probability that a standard normal random variable \(z\) is greater than 2.48 is approximately 0.0067.

User Ecle
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