High School

The weight of UCI football players is normally distributed with a mean of 190 pounds and a standard deviation of 28 pounds. What is the probability of a player weighing exactly 245 pounds?

A. 0.9505
B. 0.0247
C. 0.9753
D. 0.0000

Assume [tex]z[/tex] follows a standard normal distribution. Calculate the probability [tex]P(0.55)[/tex].

Answer :

1. The probability of a player weighing exactly 245 pounds is 0.

2. The probability of a z-score being between 1.60 and 2.50 is 0.9452.

The probability of a player weighing exactly 245 pounds is 0. There is no such thing as a player weighing exactly 245 pounds in a normal distribution with mean 190 pounds and standard deviation 28 pounds. This is because the normal distribution is continuous, and there are no gaps between values.

The probability P(0.55z-table. The z-score for 245 pounds is 2.25, which is between 1.60 and 2.50 in the z-table. The probability of a z-score being between 1.60 and 2.50 is 0.9452. So the answer is 0.9452.

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The following question may be like this:

The weight of UCI football players is normally distributed with a mean of 190 pounds and a standard deviation of 28 pounds. What is the probability of a player weighing exactly 245 pounds? 0.9505 0.0247 0.9753 O 0.0000 Assume z follows standard normal distribution, calculate the probability P(0.55