normal distr. w/ mu = 500, sigma = 110; find prob. that

[rfimbres]

The math SAT scores for women are normally distributed with a mean of 500 and a standard deviation of 110.

a) If a woman who takes the math portion of the SAT is randomly selected, find the probability that her score is strictly above 600.

b) if ten women's scores are randomly selected, find the probability that 5 scores are strictly below 600.

 

[james cook]

knowing the mean and standard distribution you can find the prop that a individually is above 600 using the Normal Distribution formular to be 0.18165

b) turn the above info onto a binomial with a X~B(10,1-0.18165)
then find the prob that x=5
which is 0.01829