The mean weight of a herd of white-tailed deer is 140.3 pounds, with a standard deviation of 7.2 poundsWhat is the probability that a randomly selected deer weighs more than 149 pounds?
To find this probability, we can first standardize the weight of 149 pounds using the z-score formula:
z = (X - μ) / σ
where:
X = 149 pounds
μ = 140.3 pounds
σ = 7.2 pounds
z = (149 - 140.3) / 7.2
z = 0.7639
Next, we need to find the probability that a randomly selected deer weighs more than 149 pounds. We can do this by looking up the z-score of 0.7639 in the standard normal distribution table (or using a calculator), which corresponds to a probability of 0.7212.
Therefore, the probability that a randomly selected deer weighs more than 149 pounds is 0.7212, or 72.12%.