Answer:

So then we can find the probability like this:

And using the normal standard table or excel we got:

Step-by-step explanation:
For this case we can check if we can use the normal approximation for the proportion and we have this:


Then we can conclude that we can use the normal approximation. And we have this:

So the mean is given by:

And the deviation is given by:

And for this case we want to find this probability:

And we can use the z score given by:

And for this case the z score is:

So then we can find the probability like this:

And using the normal standard table or excel we got:
