A distribution of values is normal with a mean of 211.5 and a standard deviation of 84.2. Find the próbability that a randomly selected value is greater than -57.9. P(X > -57.9) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z- Scores rounded to 3 decimal places are accepted.

Help

Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of man who is 72.2 inches tall. (to 4 decimal places)

The mean number of carats for 313 diamonds in a sample data set is 0.506 carats, with a standard deviation of 0.145 carats. Use the mean and standard deviation to form an interval that will contain at least 75% of the carat values in the data set. (Round your answer to 3 decimal places)

to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of  66 and a standard deviation of 10 . If only the top 13% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff score

A distribution of values is normal with a mean of 122.8 and a standard deviation of 71.9.Find P47, which is the score separating the bottom 47% from the top 53%. P47 = IncorrectEnter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A distribution of values is normal with a mean of 173.5 and a standard deviation of 99.3.Find P3, which is the score separating the bottom 3% from the top 97%.P3 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 226-cm and a standard deviation of 1.1-cm. For shipment, 28 steel rods are bundled together.Find P58, which is the average length separating the smallest 58% bundles from the largest 42% bundles.P58 = -cmEnter your answer as a number accurate to 2 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A population of values has a mean of 59.6 and standard deviation of 35.4. Find the probability that a sample of 58 values from this population will have a mean between 52.6 and 63.8.Enter your answers as numbers accurate to 4 decimal places.

The combined SAT scores for the students at a local high school are normally distributed with a mean of 863 and a standard deviation of 156. The local college requires a minimum SAT score of 877 before students are considered for admision.What percentage of students from this school have SAT scores that do not satisfy the local college's admission requirement? Enter your answer as a percent accurate to 2 decimal places.