Hi,

I am trying to figure out a solution to a problem with normal distributions and I need some help. The problem is:

In a town of 1000 households, each one has 1 electric car. Each night, every house plugs in the electric car for charging in order to be ready to use at 8am in the morning.

The duration it takes to charge a car follows a Normal distribution with a mean of 5 hours and a standard deviation of 1.5 hours. Two households share an electric outlet and plug the first car in at midnight. Assuming that they plug the second car in immediately once the first is fully charged, what is the probability that the second car is not fully charged at 8am?

Thanks!

As far as I understand I should consider a new Normal distribution with a mean=5+5=10 hours and a standard deviation s=((1.5)^2 + (1.5)^2)^1/2=2.12 hours. Then, should I calculate the probability between 5 and 8 hours?

I found that P(5hours<X<8hours)=16.42%

I am trying to figure out a solution to a problem with normal distributions and I need some help. The problem is:

In a town of 1000 households, each one has 1 electric car. Each night, every house plugs in the electric car for charging in order to be ready to use at 8am in the morning.

The duration it takes to charge a car follows a Normal distribution with a mean of 5 hours and a standard deviation of 1.5 hours. Two households share an electric outlet and plug the first car in at midnight. Assuming that they plug the second car in immediately once the first is fully charged, what is the probability that the second car is not fully charged at 8am?

Thanks!

As far as I understand I should consider a new Normal distribution with a mean=5+5=10 hours and a standard deviation s=((1.5)^2 + (1.5)^2)^1/2=2.12 hours. Then, should I calculate the probability between 5 and 8 hours?

I found that P(5hours<X<8hours)=16.42%

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