Question 1192499
.
Weight loss per week by adopting a particularly restrictive diet is normally 
distributed 
with a mean of 500 gms and a standard deviation of 2 gms. 
Weight loss per week by adopting an exercise regime is normally distributed with 
a mean of 200 gms and a standard deviation of 1 gm. 
What is the probability that 
Asha will lose 1kg in 1 week if she adopts both diet and exercise regime?
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In this post, calculations by @CPhill are correct, but his final conclusion is FATALLY WRONG.


His conclusion is 


        "Since the Z-score is extremely high (134.16), the probability of losing 1 kg or more 
        with both diet and exercise is **extremely close to 1 (or 100%)**. 



As I said, this conclusion is FATALLY WRONG.


The correct conclusion is OPPOSITE to it:


        "Since the Z-score is extremely high (134.16), the probability of losing 1 kg or more 
        with both diet and exercise is **extremely low and is close to 0 (or 0%)**. 



On an intuitive level, it should be clear even to a hedgehog or a rabbit 
due to their common sense, without making any calculations.