The weight of bags of coffee beans at the grocery store follows a Normal distribution with a mean of μ = 7 ounces and a standard deviation of σ = 2 ounces. Suppose we pick four bags of coffee beans at random from the shelf and find their total weight, W. Which of the following statements describes the random variable W? A. The random variable W is Normal, with a mean of seven ounces and a standard deviation of two ounces.
B. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of 16 ounces.
C. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.
D. The random variable W is binomial, with a mean of 28 ounces and a standard deviation of four ounces.
E. The random variable W is binomial, with a mean of seven ounces and a standard deviation of two ounces.

C.

Step-by-step explanation:

The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.  

mean of total = 7+7+7+7 = 28

Variance of total = 4+4+4+4 = 16

SD of total = sqrt(16) = 4

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.