Chapter 6 - The Normal Distribution - 6-4 The Normal Approximation to the Binomial Distribution - Exercises 6-4 - Page 360: 7

a. Yes, b. No, c. No. Please see explanations below.

We need to check if the following conditions are satisfied: $np\geq5$ and $nq\geq5$ a. $np=10\gt5$ and $nq=n(1-p)=10\gt5$, so it can be approximated by a normal distribution. b. $np=6\gt5$ and $nq=n(1-p)=4\lt5$, so it can not be approximated by a normal distribution. c. $np=36\gt5$ and $nq=n(1-p)=4\lt5$, so it can not be approximated by a normal distribution.