Admission to a certain university is determined by an entry exam. The scores of this test are normally distributed with a mean of 400 and a standard deviation of 60. only students who score in the top 30% will be offered admission. Sarah scores 425 on the test. choose the most accurate statement. 1) The top 30% of all students have scores less than or equal to 368.5, so she will be admitted. 2) The top 30% of all students have scores greater than or equal to 368.5, so she will be admitted. 3) The top 30% is defined with the score greater than or equal to 431.4, so she will not be admitted. 4) The top 30% is defined with the score less than or equal to 431.4, so she will be admitted.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Admission to a certain university is determined by an entry exam. The scores of this test are
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
