Question

The number of candies in bags of the same size is normally distributed with a mean of 145 candies and a standard deviation of 3 candies.
There are 160 bags of candies on a shelf.

About how many bags of candies are expected to have between 142 candies and 148 candies?

a) 109
b) 119
c) 128
d) 133

Answer 1

Answer:

The correct answer is A. 109

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Mean of candies in bags = 145

Standard deviation = 3

Number of bags of candies on a shelf = 160

2. About how many bags of candies are expected to have between 142 candies and 148 candies?

Let's recall that in a normal distribution, the 68.2% of the sample or the population is between minus one and plus one time the standard deviation.

For our case, the 68.2% of the bags of candies are expected to have between minus one time the standard deviation (145 - 3) and plus one time the standard deviation (145 + 3).

It means that 109 bags (0.682 * 160)  are expected to have between 142 and 148 candies. The correct answer is A. 109.