Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are normally distributed with a mean of 40 points and a standard deviation of 10 points. What is the probability that the students have a score between 30 and 60 points? Record the result as a percentage.

Solve step by step in digital format 10.- The results obtained in an exam given to 500 students are normally distributed with a mean of 40 points and a standard deviation of 10 points. What is the probability that the students have a score between 30 and 60 points? Record the result as a percentage.

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

How do you solve? ref W9A4.
Each students in a local school district write a national examination. The average on this year national exam is 150 with a standard deviation of 20. Schools where the overall average is between 1.5 and 3.0 standard deviations above the mean are eligible for additional funding. What is the average range a school must achieve to be eligible for funding?
in 2020, a sample of 12 monarchs had an average wingspan of 6.3 cm. this year a new sample of 12 had an average wingspan of 7.2 cm based on years of data, we know the population standard deviation is 2.2 cm. compare the means from 2020 and 2021. write a conclusion with a statistics and probability in parenthesis
The average score of all golfers for a particular course has a mean of 71 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 72. Round to four decimal places.
Jason's z- score in the 10-k run was -3. if the raw score standard deviation was 5, and the mean running time for the competitors was 55 minutes, what was Jason's raw score running time?
You are going to convert raw scores to z scores. The z scores are -2, -1, 0, +1, +2. The raw scores are 8, 10, 17, 22, 6, 20, 21, 22, 19, 30. How are the raw scores equivalent to z scores? Make sure to minus the mean then divide by the standard deviation X-M/SD
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1549 and the standard deviation was 318. The test scores of four students selected at random are 1960,1270, 2250, and 1450. Find the z-scores that correspond to each value and determine whether any of the values are unusual.
Children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours. Round your answer to 4 decimal places.
4 student obtained the mean and standard deviation of 100 observations as 40 and 5 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. Calculate the correct mean and standard deviation.
Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 80% of the students who took the test. Tom takes the test and scores 595. Will he be admitted to this university?
Suppose you received a score of 95 out of 100on exam 11 . The mean was 79and the standard deviation was 8 . If your score on exam 2 is 90out of 100, and the mean was 60with a standard deviation of 15, then you did:
According to the latest internet usage survey of college students, the amount of time spent on social media per day is normally distributed with a mean equal to 210 minutes and a standard deviation of 45 minutes. Based on this survey, find the probability that the amount of time spent on social media by college students is between 150 and 300 minutes per day. Round answer to 4 decimal places.