The mean age for young adults to get married is normally distributed with a a mean of 29.8 years and a standard deviation 6.7 years old. What is the probability that a random sample of 45 U. S adults mean age when they were married at most 32 years old? (round to 4 decimal places)

My approach was following: 6.7/√ 45 =0.9987770299. TI-84 calculator, normal CDF: (-1E99, 32, 29.8, 0.9987770299)
Result: 0.9862

Can anyone confirm if this is correct please?

I’m pretty sure the answer is a

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.