The following data represent the birth weights (in grams) of babies born in 2017, along with the period of gestation.

(a) What is the probability that a randomly selected baby born in 2017 was post-term?
(b) What is the probability that a randomly selected baby born in 2017 weighed 3000–3999 grams?
(c) What is the probability that a randomly selected baby born in 2017 weighed 3000–3999 grams and was post-term?
(d) What is the probability that a randomly selected baby born in 2017 weighed 3000–3999 grams or was post-term?
(e) What is the probability that a randomly selected baby born in 2017 weighed less than 1000 grams and was post-term? Is this event impossible?
(f) What is the probability that a randomly selected baby born in 2017 weighed 3000–3999 grams, given the baby was post-term?
(g) Are the events “post-term baby” and “weighs 3000–3999 grams” independent? Why?

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Birth Weight (grams) Less than 1000 1000-1999 2000-2999 3000-3999 4000-4999 At least 5000 Total Period of Gestation Preterm Term 25,258 79,593 222,289 115,256 7171 201 449,768 Postterm 167 24 10,623 1075 663,255 38,754 2,241,340 155,098 267,556 23,810 3667 363 3,186,608 219,124 Total 25,449 91,291 924,298 2,511,694 298,537 4231 3,855,500