Question

The incubation period for the eggs of a House Wren has a normal probability distribution with a mean time of 336 hours and a standard deviation of 3.5 hours. Before hatching, a particular House Wren egg incubated for 343 hours. What is the probability that House Wren eggs will take longer than 343 hours to hatch? 68% 95% 32% 16% 5% 2.5%

Answer 1

Answer:

2.28%

Step-by-step explanation:

If X is the random variable that measures the time of incubation needed before hatching, we want

P(X>343)

This is the area under the normal curve whose mean is 336 hours and its standard deviation 3.5 hours to the right of the point 343. (See picture attached)

This can be done easily with the help of a computer and we find

P(X>343) = 0.0228 or 2.28%