question archive 1) Birth weight in female babies born at 40 weeks gestation follows a normal distribution with a mean of 3640 grams and a standard deviation of 458 grams
1) Birth weight in female babies born at 40 weeks gestation follows a normal distribution with a mean of 3640 grams and a standard deviation of 458 grams
Subject:StatisticsPrice: Bought3
1) Birth weight in female babies born at 40 weeks gestation follows a normal distribution with a mean of 3640 grams and a standard deviation of 458 grams.
a. What proportion of female babies born at 40 weeks gestation weigh between 3500 and 3700 grams? Show your work. Be sure to explicitly state the probability statement you are trying to solve. Represent answer as a percent rounded to 2 decimal places.
b. If a female baby born at 40 weeks gestation weighs 2500 grams, what percentile is this? Show your work. Be sure to explicitly state the probability statement you are trying to solve. Represent answer as a percent rounded to 2 decimal places.
c. To be categorized in the lowest 15% of weights, what is the maximum weight of a female baby born at 40 weeks gestation? Show your work.
d. In a random sample of 100 female babies born at 40 weeks gestation, what is the probability that the mean weight of this sample is more than 4000 grams? Show your work. Be sure to explicitly state the probability statement you are trying to solve. Represent answer as a percent rounded to 2 decimal places.
