Question 6 . of 7 Step 1 of 1 $06: 52: 53$ The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3958 grams and a standard deviation of 362 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4320 grams. Round your answer to four decimal places. Answer 2 Points

Step 1 ：The problem is asking for the probability that a newborn baby boy's weight will be less than 4320 grams. This is a problem of normal distribution. We know that the mean weight is 3958 grams and the standard deviation is 362 grams.

Step 2 ：We can use the z-score formula to find the z-score for 4320 grams, which is \( (X - \mu) / \sigma \), where X is the value we're interested in, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step 3 ：Then, we can use a z-table or a function that gives the cumulative distribution function for the standard normal distribution to find the probability that a randomly selected baby boy's weight is less than 4320 grams.

Step 4 ：The probability that a randomly selected newborn baby boy's weight will be less than 4320 grams is approximately 0.8413. This means that about 84.13% of newborn baby boys born at the local hospital are expected to weigh less than 4320 grams.

Step 5 ：Final Answer: The final answer is \( \boxed{0.8413} \).