Math Solutions

(See Solution) The United States National Center for Education Statistics compiles enrollment data on American public schools and reports the information

Question: The United States National Center for Education Statistics compiles enrollment data on American public schools and reports the information in Digest of Education Statistics. The following table displays a frequency distribution for the enrollment by grade level in public secondary schools for a given year. Frequencies are in thousands.

Grade (x) Frequency (f)
9 3604
10 3133
11 2749
12 2488
  1. Determine the probability distribution of the random variable \(x\). (Hint: complete the table by finding relative frequencies.)
  2. Construct a probability histogram for the random variable \(x\).
  3. What is the probability that a randomly selected student is in either 9 th or 10 th grade?

e. What is the probability that a randomly selected student is in at most 11 th grade?

f. Find the mean and standard deviation of the random variable \(x\).

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