# T-table - Probability Distribution 4.1 TIY 2 page 196...

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Unformatted text preview: Probability Distribution 4.1 TIY # 2 page 196 - Modified Number of new sales per day for 100 days Results are for 1 new Employee. (1) Construct relative frequency distribution (= P(x) or the probability distribution) (2) Probability Distribution as a Histogram. Possible x's or outcomes (all values of random variable x) x = Sales per day TIY #5 TIY #6 x # of Days, f xP(x) 16 0.16- -2.40 5.76 0.92 1 19 0.19 0.19 -1.40 1.96 0.37 2 15 0.15 0.30 -0.40 0.16 0.02 3 21 0.21 0.63 0.60 0.36 0.08 4 17 0.17 0.68 1.60 2.56 0.44 5 12 0.12 0.60 2.60 6.76 0.81 Total 100 1.00 2.40 2.64 σ = 1.62 TIY # 2 page 196 - Not Modified Number of new sales per day for 100 days Results are for 1 new Employee. (1) Construct relative frequency distribution (= P(x) or the probability distribution) (2) Probability Distribution as a Histogram. Possible x's or outcomes (all values of random variable x) x = Sales per day TIY#5 TIY #6 x # of Days, f xP(x) 16 0.16- -2.60 6.76 1.08 1 19 0.19 0.19 -1.60 2.56 0.49 2 15 0.15 0.30 -0.60 0.36 0.05 3 21 0.21 0.63 0.40 0.16 0.03 4 9 0.09 0.36 1.40 1.96 0.18 5 10 0.10 0.50 2.40 5.76 0.58 6 8 0.08 0.48 3.40 11.56 0.92 7 2 0.02 0.14 4.40 19.36 0.39 Total 100 1.00 2.60 3.72 σ = 1.93 P(x) =f/ Σf (x-μ) (x-μ) 2 (x-μ) 2 P(x) μ=ΣxP(x) σ 2 =Σ(x-μ) 2 P(x) P(x) =f/ Σf (x-μ) (x-μ) 2 (x-μ) 2 P(x) μ=ΣxP(x) σ 2 =Σ(x-μ) 2 P(x) 1 2 3 4 5 0.00 0.05 0.10 0.15 0.20 0.25 P(x) =f/Σf P(x) =f/Σf x = Number of Sales per day 1 2 3 4 5 6 7 0.00 0.05 0.10 0.15 0.20 0.25 P(x) =f/Σf P(x) =f/Σf x = Number of Sales per day Binomial Distribution 4.2 TIY # 6 page 212 45% of small businesses in US have a website. Randomly select 10 business, Do they have a website? create a probability distribution and graph (histogram). trial: randomly select small business. mean = 5.60 success: small business has a website. variance = 1.12 failure: small business doesn't have a website. std. dev. = 1.06 n = 7 p = 0.8 q = 0.2 Possible x's or outcomes (all values of random variable x) x P(x) Cumul P(x) out of 1,000 0.0000 0.0000 0.0 1 0.0004 0.0004 2 0.0043 0.0047 3 0.0287 0.0333 4 0.1147 0.1480 5 0.2753 0.4233 6 0.3670 0.7903 7 0.2097 1.0000 8 Err:502 Err:502 9 Err:502 Err:502 10 Err:502 Err:502 11 Err:502 Err:502 12 Err:502 Err:502 13 Err:502 Err:502 14 Err:502 Err:502 15 Err:502 Err:502 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0.0000 0.0500 0.1000 0.1500 0.2000 0.2500 0.3000 0.3500 0.4000 P(x) P(x) x, Number of Small Businesses with Website P n x 0.01 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 2 0.980 0.903 0.810 0.723 0.640 0.563 0.490 0.423 0.360 0.303 0.250 0.203 0.160 0.123 0.090 0.063 0.040 0.023 0.010 0.002 2 1 0.020 0.095 0.180 0.255 0.320 0.375 0.420 0.455 0.480 0.495 0.500 0.495 0.480 0.455 0.420 0.375 0.320 0.255 0.180 0.095 2 2 0.000 0.003 0.010 0.023 0.040 0.063 0.090 0.123 0.160 0.203 0.250 0.303 0.360 0.423 0.490 0.563 0.640 0.723 0.810 0.903 3 0.970 0.857 0.729 0.614 0.512 0.422 0.343 0.275 0.216 0.166 0.1250....
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## This note was uploaded on 02/07/2012 for the course MATH 1225 taught by Professor Raney during the Spring '11 term at Century College.

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T-table - Probability Distribution 4.1 TIY 2 page 196...

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