Whe weights of United States pennies are distributed approximently normal with a mean of 2.5 grams and a standard deviation of .03 grams. What is the propability that a randmoly chosen penny weighs less than 2.49 grams

37.07% probability that a randmoly chosen penny weighs less than 2.49 grams

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

What is the probability that a randmoly chosen penny weighs less than 2.49 grams

This is the pvalue of Z when X = 2.49. So

has a pvalue of 0.3707

37.07% probability that a randmoly chosen penny weighs less than 2.49 grams

2.83941151 would be the answer you're looking for! : )

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: