Question

It is known that the weights of Snickers regular-size chocolate candy bars are normally distributed with an average weight of 1.86 ounces and a standard deviation of 0.44 ounces. One bar is randomly selected. Find the probability that the weight of this bar exceeds 1.92 ounces. (Round your answer to 4 places after the decimal point).

a) 0.3085
b) 0.1915
c) 0.6915
d) 0.8085

Answer 1

To calculate the probability that the weight of a Snickers bar exceeds 1.92 ounces, we use the normalcdf function. The answer is approximately 0.3085.

Step-by-step explanation:

To find the probability that the weight of the selected bar exceeds 1.92 ounces, we need to calculate the area under the normal distribution curve to the right of 1.92 ounces. This can be done using the standard normal distribution table or by using technology such as a graphing calculator.

Using a graphing calculator, we can use the normalcdf function with the given parameters to find the probability:

normalcdf(1.92, E99, 1.86, 0.44) ≈ 0.3085

Therefore, the probability that the weight of the bar exceeds 1.92 ounces is approximately 0.3085. So the answer is a) 0.3085.