To check: Whether the normal distribution can be used to approximate the binomial distribution. To obtain: The probability that the number of people who have A + blood group is exactly 15,if the normal distribution can be used to approximate the binomial distribution otherwise use a binomial distribution. To sketch: The graph for binomial distribution and normal distribution.
To check: Whether the normal distribution can be used to approximate the binomial distribution. To obtain: The probability that the number of people who have A + blood group is exactly 15,if the normal distribution can be used to approximate the binomial distribution otherwise use a binomial distribution. To sketch: The graph for binomial distribution and normal distribution.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Chapter 5, Problem 5.5.70RE
a.
To determine
To check: Whether the normal distribution can be used to approximate the binomial distribution.
To obtain: The probability that the number of people who have A+ blood group is exactly 15,if the normal distribution can be used to approximate the binomial distribution otherwise use a binomial distribution.
To sketch: The graph for binomial distribution and normal distribution.
b.
To determine
To obtain: The probability that the people who have A+ blood group is less than 10.
To sketch: The graph for binomial distribution and normal distribution.
c.
To determine
To obtain: The probability that the people who have A+ blood group is between 20 and 35.
To sketch: The graph for binomial distribution and normal distribution.
d.
To determine
To identify: Whether there is any unusual event or not in the parts of (a), (b) and (c).