Question

1.The combined SAT scores for the students at a local high school are normally distributed with a mean of 1493 and a standard deviation of 307. The local college includes a minimum score of 1278 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement? P(X > 1278) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign).

2.A distribution of values is normal with a mean of 44 and a standard deviation of 86.8. Find the probability that a randomly selected value is between -86.2 and 182.9. P(−86.2−131.9)= Enter your answer as a number accurate to 4 decimal places.

3.A manufacturer knows that their items have a normally distributed lifespan, with a mean of 6.3 years, and standard deviation of 1.3 years.
The 3% of items with the shortest lifespan will last less than how many years?
Give your answer to one decimal place.

4.A distribution of values is normal with a mean of 23.7 and a standard deviation of 74.1.
Find the probability that a randomly selected value is greater than -131.9.
P(x>−131.9)=
Enter your answer as a number accurate to 4 decimal places.

5.A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 118.3-cm and a standard deviation of 1.4-cm. Find the probability that the length of a randomly selected steel rod is between 113.8-cm and 116.2-cm. P(113.8

Answer 1