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Normal distribution

Sunflower height is normally distributed mean 185 and standard deviation 10

Determine the probability that the mean height of a random sample of 4 sunflowers is more than 190cm.
i dont even know where to start
Original post by Imperial Majesty
Sunflower height is normally distributed mean 185 and standard deviation 10

Determine the probability that the mean height of a random sample of 4 sunflowers is more than 190cm.

Do you understand that the mean of a random sample is itself a random variable?

So, let Xˉ\bar{X} be the mean of the sample. How is it distributed?

Then you will proceed to find P(Xˉ>190)P(\bar{X} > 190)

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