Question

1. z = -1 is what percentile?

2.Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.
A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 11.18% from the rest? That is, if P(z>c)=0.1118P(z>c)=0.1118, find c.

3.Assume that scores on the verbal portion of the GRE (Graduate Record Exam) follow the normal distribution with mean score 151 and standard deviation 7 points, while the quantitative portion of the exam has scores following the normal distribution with mean 153 and standard deviation 7.67. Use this information to answer the following:
a) Find the score of a student who scored in the 80th percentile on the Quantitative Reasoning section of the exam.
(please round to two decimal places)

b)Find the score of a student who scored worse than 70% of the test takers in the Verbal Reasoning section of the exam.
(please round to two decimal places)

4.The combined SAT scores for the students at a local high school are normally distributed with a mean of 1494 and a standard deviation of 299. The local college includes a minimum score of 1374 in its admission requirements.

What percentage of students from this school earn scores that satisfy the admission requirement?
P(X > 1374) = ? %

5.In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.6 inches, and standard deviation of 4.8 inches.

A) What is the probability that a randomly chosen child has a height of less than 65.2 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 64.8 inches?

Answer= (Round your answer to 3 decimal places.)

Answer 1