In: Statistics and Probability
5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 3. The probability that X is between 6 and 10 is
a. 0.7486
b. 0.4972
c. 0.6826
d. 0.8413
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds.
6. The probability of a player weighing more than 240 pounds is
a. 0.0197
b. 0.9803
c. 0.4803
d. 0.0228
7. Refer to the information in Q6. The probability of a player weighing less than 220 pounds is
a. 0.8413
b. 0.9938
c. 0.4938
d. 0.1587
8. What percent of players weigh between 170 and 230 pounds?
a. 50%
b. 86.64%
c. 68.26%
d. 99.72%
A professor at a local university noted that the grades of her students were normally distributed with a mean of 76 and a standard deviation of 10.
9. The professor has informed us that 16.6 percent of her students received grades of A. What is the minimum score needed to receive a grade of A?
a. 85.7
b. 87.7
c. 88.3
d. 88.7