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jstyopin
18.10.2019 •
Mathematics
According to the national vital statistics report, vol. 52, no. 10, the probability is 0.6591 that a newborn baby has a birth weight between 6 lbs, 10 oz. and 8 lbs, 13 oz. if 2 newborn babies are randomly selected, what is the probability that at least one of the babies has a birth weight between 6 lbs, 10 oz. and 8 lbs, 13 oz.? assume birth weights of different babies are independent. (use 3 decimal places in your answer)
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Ответ:
The required probability is 0.884
Step-by-step explanation:
Consider the provided information.
The probability is 0.6591 that a newborn baby has a birth weight between 6 lbs, 10 oz. and 8 lbs, 13 oz.
The probability that weight is not in between 6 lbs, 10 oz. and 8 lbs, 13 oz is:
1-0.6591=0.3409
We want to find the probability that if 2 babies born then the probability that at least one of the babies has a birth weight between 6 lbs, 10 oz. and 8 lbs, 13 oz.
There are 3 possible case
Case I: If only first baby weight is in between 6 lbs, 10 oz. and 8 lbs, 13 oz.
Case II: If only second baby weight is in between 6 lbs, 10 oz. and 8 lbs, 13 oz.
Case III: If both babies weight is in between 6 lbs, 10 oz. and 8 lbs, 13 oz.
This can be written as:
Hence, the required probability is 0.884
Ответ: