In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.5 and a standard deviation of 6.8. 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 a score that is less than 17. The probability of a student scoring less than 17 is. (Round to four decimal places as needed.)

In a recent year, the scores for the reading portion of a test were normally distributed, with a mean of 20.5 and a standard deviation of 6.8. 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 a score that is less than 17. The probability of a student scoring less than 17 is. (Round to four decimal places as needed.)

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...

See similar textbooks

Similar questions

The average number of miles driven on a full tank of gas in a certain model car before its low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability that, before the low-fuel light comes on, the car will travel between 328 and 348 miles on the next tank of gas? 36 miles. Complete parts a through d below. (Round to four decimal places as needed.
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
The IQ's in a certain population are normally distributed with a mean score of 104 and a standard deviation of 14. If we select a person at random from this population, find the probability that their IQ will be: 1. Find the 67th percentile of IQ's in this population. 2. Find the 20 The percentile of IQ's in this population 3. Find the IQR of IQ's in this population.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 270 feet and a standard deviation of 42 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 302 feet. Round to 4 decímal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
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 scores of the Betropolis University Music Appreciation Exam are Normally Distributed with a mean of 50 and a standard deviation of 10; that is N(50, 10). A. Boris scored 40.6 and Bela scored 56.8. Find the percent of students who scored greater than Boris and less than Bela. Your answer should be correct to 4 places after the decimal point. ___________ B. 51% of the students score greater than Bernie. Find Bernie’s score. Your answer should be correct to 3 places after the decimal point. Bernie’s score was ___________
Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
A normal distribution has a Mean of 25 and a S.D. of 10. Find the probability that the deviation from the Mean of an item taken at random will have a negative value.
Students in a class took a test whose results were normally distributed. The mean score was an 81 and the standard deviation was 4.5. What score is at the 83rd percentile (round to the nearest whole number.) a.84 b.83 c.85 d.86
A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ = Round to the nearest tenth.