Help with statistics homework
Statistics

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In San Francisco 30% of workers take public transportation daily (usa today December 21 2005
a) in a sample of 10 workers what is the probability that exactly three workers take public transportation daily (4 decimals including interim calculations
b) in a sample of 10 workers what is the probability that at least three workers take public transportation daily (4 decimals including interim calculations
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1. P[x = 3] = 10C3 * 0.3^3 * 0.7^3
= 0.1852
= 18.52%
2. P[x >= 3] = P[x = 3] + P[x = 4] + P[x = 5] + P[x = 6] + P[x=7] + P[x=8] + P[x=9] + P[x=10]
P[x = 3] = 10C3 * 0.3^3 * 0.7^3 = 0.1852
P[x = 4] = 10C4 * 0.3^4 * 0.7^2 = 0.0595
P[x = 5] = 10C5 * 0.3^5 * 0.7^1 = 0.0102
P[x = 6] = 10C6 * 0.3^6 * 0.7^0 = 0.0007
P[x=7]=10C7 * 0.3^7 0.7^0=
P[x=8]=10C8 * 0.3^8 * 0.7^8=
P[x=9]=10C9 * 0.3^9 * 0.7^1=
P[x=10]=10C10 * 0.3^10 * 0.7^0=
P[x >= 3] = 0.1852 + 0.0595 + 0.0102 + 0.0007
=
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1. P[x = 3] = 10C3 * 0.3^3 * 0.7^3
= 0.2668
= 26.68%
2. P[x >= 3] = P[x = 3] + P[x = 4] + P[x = 5] + P[x = 6] +P[x=7] +P[x=8] +P[x=9] + P[x=10]
Probability that at least three take public transport daily=0.0028
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