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.