Which of the following situations describes a continuous distribution?A probability distribution showing the weights of newbornsA probability distribution showing the average number of days mothers spent in the hospitalA probability distribution showing the amount of births in a hospital in a monthA probability distribution showing the number of vaccines given to babies during their first year of life
Question
Which of the following situations describes a continuous distribution?A probability distribution showing the weights of newbornsA probability distribution showing the average number of days mothers spent in the hospitalA probability distribution showing the amount of births in a hospital in a monthA probability distribution showing the number of vaccines given to babies during their first year of life
Solution
A continuous distribution is a statistical distribution that can take on any value within a specified range. It is often used to model variables that can theoretically take on an infinite number of values.
Looking at the options:
A) A probability distribution showing the weights of newborns: This could be a continuous distribution because weight is a continuous variable. It can take on any value within a certain range, not just whole numbers.
B) A probability distribution showing the average number of days mothers spent in the hospital: This could also be a continuous distribution. Although days are often counted in whole numbers, averages can be any number, including decimals.
C) A probability distribution showing the amount of births in a hospital in a month: This would not be a continuous distribution because the number of births is a discrete variable. It can only take on whole numbers.
D) A probability distribution showing the number of vaccines given to babies during their first year of life: This would also not be a continuous distribution because the number of vaccines is a discrete variable. It can only take on whole numbers.
So, the situations that describe a continuous distribution are A) and B).
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