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julia-pushkina [17]
3 years ago
6

Each month, an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard d

eviation is 2 pounds. If the data conforms to a normal distribution and a household is selected at random, the probability of its generating between 28 and 30 pounds per month is about __?
Mathematics
1 answer:
inysia [295]3 years ago
4 0

Answer: 0.3413

Step-by-step explanation:

Given: an American household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds.

Let \mu=\text{ 28 pounds and }\sigma=\text{ 2 pounds} .

Let x be the random variable that denotes the amount of newspaper for garbage generated by each household each month.

If the data conforms to a normal distribution and a household is selected at random, the probability of its generating between 28 and 30 pounds per month is about

P(28

Hence, the required probability is 0.3413.

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