In: Statistics and Probability
Pediatricians have been able to determine that the distribution of birth weights for boys is approximately normal with mean 3494 grams and standard deviation 603 grams. They have also determined that the distribution of birth weights for girls is approximately normal with mean 3266 grams and standard deviation 570 grams.
1. A particular baby boy called Ash weighed 3927 grams at birth. Find the proportion of boy babies who weighed less than Ash. Round your answer to 3 decimal places.
2. Ash has a friend Brock who weighed 3232 grams at birth. What proportion of boy babies weigh between Ash and Brock? Round your answer to 3 decimal places.
3. Ash and Brock have a female friend named Misty. Her birthweight corresponded to the 40th percentile for female birth weights. How much did she weigh at birth? Round your answer to 1 decimal place.