The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard deviation of 4. a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note that to pass from a score, a student should score a grade which is higher than the passing grade.) b) The grade scored by another student from the same course is again normally distributed with a mean of 56 and standard deviation of 3. Find the probability that this student will score higher grade than Mehmet.

The grade scored by Mehmet in a course is normally distributed with a mean of 50 and standard deviation of 4. a) If the probability that Mehmet will pass from this course is 0.8413, what is the passing grade? (Note that to pass from a score, a student should score a grade which is higher than the passing grade.) b) The grade scored by another student from the same course is again normally distributed with a mean of 56 and standard deviation of 3. Find the probability that this student will score higher grade than Mehmet.

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

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.7 inches, and standard deviation of 3.8 inches.What is the probability that the height of a randomly chosen child is between 52.7 and 63 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
The life expectancy of poople in Oman is if the mean distributed. maly years and 6) years nor and standeard'deviation is (106) respectively, Find the probability that the life expectancy is between (104) and (76) gears
About 78% of all female heart transplant patients will survive for at least 3 years seventy female transplant patients are randonly selected. What is the probability that the sample proportion surving for at least 3 years will be less than 72%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to pq/n. The probability that the sample proportion surviving for at least 3 years will be less than 72% is ____________. Round answer to four decimal places.
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.5 inches, and standard deviation of 4.9 inches.What is the probability that the height of a randomly chosen child is between 58.65 and 59.85 inches? Do not round until you get your your final answer, and then round to 3 decimal places.
The 3-point shooter star of your favourite team usually attempts twelve 3-point shots in a basketball game. The team record shows that the shooter makes 45% of all 3-point shots attempted in a game. Assuming that the shots are independent of each other,what is probability that the star will make shots at least 2 standard deviation more than the expected?
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.5 inches, and standard deviation of 7.5 inches.What is the probability that the height of a randomly chosen child is between 51.55 and 71.35 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.1 inches, and standard deviation of 1.8 inches.What is the probability that the height of a randomly chosen child is between 59.1 and 60.3 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 8.3 inches.What is the probability that the height of a randomly chosen child is between 65.95 and 75.15 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 1.1 inches. What is the probability that the height of a randomly chosen child is between 52.95 and 54.85 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer= (Round your answer to 3 decimal places.)
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.6 inches, and standard deviation of 6.6 inches. What is the probability that the height of a randomly chosen child is between 58.7 and 64.1 inches? Do not round until you get your your final answer, and then round to 3 decimal places.
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 8.6 inches.What is the probability that the height of a randomly chosen child is between 53.3 and 63.3 inches? Do not round until you get your your final answer, and then round to 3 decimal places.