Answer: Probability that Box A was chosen given that black marble is chosen is 0.5.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
In Box A,
Number of black marbles = 1
Number of white marbles = 3
In Box B,
Number of black marbles = 2
Number of white marbles = 4
Since black marble is selected.
So, using Bayes theorem , we get that
Hence, probability that Box A was chosen given that black marble is chosen is 0.5.
Answer:
3.84% probability that it has a low birth weight
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If we randomly select a baby, what is the probability that it has a low birth weight?
This is the pvalue of Z when X = 2500. So
has a pvalue of 0.0384
3.84% probability that it has a low birth weight