I bet you can do this !!!
266 - 262 = 4 days before mean
booked for 7 days so from 4 days before to two days after
like
262
263
264
265
266 mean
267
268
sigma = 16
so we are going from -4/16 to + 2/16 sigma from mean that is -.25 to +.125 from mean
integral of normal dist from -.25 to +.125 is about
.9 - .4 = .5 roughly
so you have about a fifty fifty chance
Your best friend is 5 months pregnant and wants you to be there when the baby is born. Since the baby was conceived on Labor Day, the delivery might coincide with your annual trip to cabo. the doctor tells you that the gestation period for humans is normally distributed with a mean of 266 days and a standard deviation of 16 days.
a)the resort in cabo is booked for a week starting may 22nd (262 days after conception). what is the probability that the baby will be delivered during your 7 day trip?
b)suddenly you realize that if the baby is born during the 1st full week of may, you will have to miss your final. what is the probability that the baby is born after your statistics final on may 2nd?(242 days after conception)
c)starting to worry about the worse case scenario, you realize that there is a 1% chance that the pregnancy will be longer than how many days?
2 answers
The rest of this is the same, wiggling around the normal distribution curve.