was determined for each wafer in a sample of size 100, resulting in the The numb

Question

was determined for each wafer in a sample of size 100, resulting in the The number of frequencles: on a silicon wafer prior to a certain rinsing Number of particles 01 2 3 45 678 9 10 11 12 13 14 12 3 12 11 15 17 10 13 453121 proportion of the sampled wafers had at least one particle? At least five particles? (Round your answers to two decimal places.) (a) What at least one particle at least five particles (b) What proportion of the sampled wafers had between five and ten particles, inclusive? Strictly between five and ten particles? (Round your answers to two decimal places.) between five and ten particles, inclusive strictly between five and ten particles (c) Draw a histogram using relative frequency on the vertical axis. Percent Percent 15 Number Number 0, i 2 3 4 5 6 7 8 91011121314 O 0123456 78 910111213 14

Explanation / Answer

a) from the given frequency distribution the proportion of at least one particle is (100-1)/100 = 0.99 or 99%

Again at least 5 is (100-1-2-3-12-11) /100 = 0.71 or 71%

b) between 5 and 10 particles (15+17+10+13+4+5)/100 = 0.64

Exactly between 5 and 10 =( 17+10+13+4)/100 = 0.44

c) the histogram is fairly symmetric and unimodal

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