What is the probability that a randomly selected applicant scores between 425 and 575?
a. What is the probability that a randomly selected applicant scores between 425 and 575?
b. What is the probability that a randomly selected applicant scores 625 or more?
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To determine the probability that a randomly selected applicant scores between 425 and 575, or 625 or more, we need to know the distribution of scores and calculate the corresponding probabilities.
a. To find the probability that a randomly selected applicant scores between 425 and 575, we can use the cumulative distribution function (CDF) of the scoring distribution. The CDF gives the probability that a random variable is less than or equal to a certain value. In this case, we want to find the probability that a score is less than or equal to 575 and subtract the probability that a score is less than or equal to 425 to get the probability that a score is between the two values.
b. To find the probability that a randomly selected applicant scores 625 or more, we can use the complement of the CDF. The complement of the CDF gives the probability that a random variable is greater than a certain value. In this case, we want to find the probability that a score is greater than or equal to 625.
To perform these calculations, we need more information about the scoring distribution. This could include the mean, standard deviation, and the assumption of a specific distribution such as a normal distribution. With this information, we can use statistical software or tables to find the probabilities.