An aptitude test was given to a random sample
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Free Inquiry1. An aptitude test was given to a random sample of 228 people intending to become data-entry clerks. The results are shown below, where x is the score on a 10-point scale and f is the frequency of people with this score.
x 1 2 3 4 5 6 7 8 9 10
f 9 21 46 51 42 18 12 10 8 5
Assume that these data represent the entire population of people intending to become data-entry clerks. (a) Use the relative frequencies to find P(x) for x = 1 to x = 10. (b) Compute the probability that x is between 2 and 5 (including 2 and 5). (c) Compute the probability that x is less than 3. (d) Compute the expected value of the x distribution. (e) Compute the standard deviation of the x distribution.
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