The number of contaminating particles on a silicon wafer prior to a certain rins

Question

The number of contaminating particles on a silicon wafer prior to a certain rinsing process was determined for each wafer in a sample of size 100, resulting in the following frequencles: Number of particles Frequency 0 1 2 3 4 5 6 7 89 10 11 12 13 14 1 23 12 11 15 15 10 13 4 5 332 1 (a) What proportion of the sampled wafers had at least one particle? At least five particles? (Round your answers to two decimal places.) 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 10 10 Number Number o 0 2345 6 78910111213 14 o 01 2 3 4 5 6 78 910111213 14 Percent Percent 15 15 10 Number Number 0 1 2 3 4 5 678 9 10111213 14 O 0 1234 5 678 9 10111213 14 How would you describe the shape of the histogram? The histogram is negatively skewed and unimodal The histogram is negatively skewed and bimodal. The histogram is fairly symmetric and unimodal The histogram is positively skewed and unimodal The histogram is fairly symmetric and bimodal The histogram is positively skewed and bimodal

Explanation / Answer

a)P(at least one particle)=1-P(no partilce)=1-0.01=0.99

P(at least 5 particles)=1-(0.01+0.02+0.03+0.12+0.11)=0.71

b)

P(5<=X<=10)=0.62

P(5<X<10)= 0.42

c)

bottom right graph is correct

the histogram is positively skewed and bimodel

x f(x) P(x) 0 1 0.01 1 2 0.02 2 3 0.03 3 12 0.12 4 11 0.11 5 15 0.15 6 15 0.15 7 10 0.1 8 13 0.13 9 4 0.04 10 5 0.05 11 3 0.03 12 3 0.03 13 2 0.02 14 1 0.01 total 100

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