In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 22.6 and astandard deviation of 6.2. Complete parts (a) through (d) below.(a) Find the probability that a randomly selected high school student who took the reading portion of the test has ascore that is less than 21.The probability of a student scoring less than 21 is(Round to four decimal places as needed.)

Answer:- Given, The scores for the reading portion of a test were normally distributed, with a mean,…

Answered: In a recent year, the scores for the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant: a. Is between the mean and $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) Probability b. Is more than $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) Probability c. Is less than $20.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.) Probability
Evpte. If the probability of a defective bolt is 0.1, find Ta) the mean (b) the standard deviation for the distribution of defective bolts in a total of 400.
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.3 Mbps. The complete list of 50 data speeds has a mean of x = 18.24 Mbps and a standard deviation of s = 17.77 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the carrier's highest data speed to a z score. d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant? a. The difference is (Type an integer or a Mbps. decimal. Do not round.) b. The difference is (Round to two decimal standard deviations. places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The carrier's highest data speed is C
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In the past Algebra classes, records show that the average score of the students in mid-term exam was computed to be equal to 83.5 with a standard deviation of 4.82. If there are 50 students in a particular class, then assuming normality of the distribution, how many of the students are expected to have a mid-term score of 1. a) above 83.5? b) below 70? c) above 90? d) between 75 -85?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
The College Board National Office recently reported that in 2011-2012, the547,038 high school juniors who took the ACT achieved a mean score of 530 with a standard deviation of 123 on the mathematics portion of the test. Assume these test scores are normally distributed. d. How high does a student have to score to be in the top 10% of the high school juniors on the mathematical portion of the test?
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
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