Answer :
Final answer:
The probability of a player weighing exactly 245 pounds is approximately 0.9753.
Explanation:
To calculate the probability of a player weighing exactly 245 pounds, we need to convert the weight to a z-score. The z-score measures the number of standard deviations a value is from the mean in a normal distribution.
First, we calculate the z-score using the formula:
z = (x - mean) / standard deviation
where x is the weight of the player, mean is the mean weight of UCI football players (190 pounds), and standard deviation is the standard deviation of the weights (28 pounds).
Substituting the values, we get:
z = (245 - 190) / 28 = 55 / 28 ≈ 1.9643
Next, we use the z-table to find the probability corresponding to a z-score of 1.9643. The z-table provides the area under the standard normal curve to the left of a given z-score.
Looking up the z-score of 1.9643 in the z-table, we find that the corresponding probability is approximately 0.9753.
Therefore, the probability of a player weighing exactly 245 pounds is approximately 0.9753.
Learn more about probability and normal distribution here:
https://brainly.com/question/29018138
#SPJ11
