Question6. [0/1 Points]
DETAILS MY NOTES BBUNDERSTAT12HS 6.3.011.MI. PREVIOUS AN
Assume that $x$ has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) $$\mu=28 ; \sigma=3.8$$ $P(x \geq 30)=$ $\square$ Need Help? Read It Watch it Master It

Studdy Solution
Use the standard normal distribution table or a calculator to find $P(z \geq 0.5263)$.
First, find $P(z \leq 0.5263)$ from the standard normal distribution table or calculator.
Assuming $P(z \leq 0.5263) \approx 0.6997$.
Then, calculate $P(z \geq 0.5263)$:
$$P(z \geq 0.5263) = 1 - P(z \leq 0.5263)$$
$$P(z \geq 0.5263) = 1 - 0.6997$$
$$P(z \geq 0.5263) \approx 0.3003$$
The probability is:
$$\boxed{0.3003}$$