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 70% of the students who took the test. Tom takes the test and scores 585. Will he be admitted to this university?
Solution:- Given that mean = 500, standard deviation = 100
=> For x = 585,
z = (585-500)/100 = 0.85
=> P(Z < 0.85) = 0.8023 = 80.23%
Tom scored better than 80.23% of the students took the test and the will be admitted to this university.
Entry to a certain University is determined by a national test. The scores on this test...
USE R COMMANDS PLEASE
Exercise 1: Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 520 and a standard deviation of 80. Use R commands to answers the following questions (a) Tom wants to be admitted to this university and he knows that he must score better than at least 75% of the students who took the test. Tom takes the test and scores 595. Will...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (79) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (79) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
1. A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 301 and a standard deviation of 42. What proportion of students taking the exam receive a score greater than 366? Round your answer to 4 decimal places. 2.A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a...
In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.3. Find the probability that a randomly selected medical student who took the test had a total score that was more than 527 The probability that a randomly selected medical student who took the test had a total score that was more than 527 is (Round to four decimal places as needed.)
In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.5.(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490 (b) Find the probability that a randomly selected medical student who took the test had a total score that was between 497 and 511(c) Find the probability that a randomly selected medical student...