Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(X 43)

Question

Assume the random variable X is normally distributed with mean u = 50 and standard deviation o = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.

P(X > 43)

anonymous · Answer

I was able to recognize the shaded area but I'm not sure how to find the probability. I know to go to 2nd vars, but that's it

anonymous · Answer

damn rly need help on this; ill buy pizza and beer for anyone who wants 2 answer this and turn tf up

anonymous · Answer

In this case $x=43$.  We want to change it to $z$ score.  We use $$
z=\frac{x-\mu}{\sigma} = \frac{53-50}{7} = -\frac{3}{7}
$$

anonymous · Answer

Just look up $-3/7$ in a $z$ table and you are done. http://www.wolframalpha.com/input/?i=z+score+-3%2F7 Use right-tailed p-value for probability of being greater.