Answer:
Probability that a 20- cubic foot block of wood has at most 1 knot P (X<=1) = 0.5918
Step-by-step explanation:
Average rate of knot= 1.4
Wavelength = 1.4
Geometric probability is given by:
P(X= K) = wavelength ^k × e^-wavelegth
P(X=0) = (1.4^0 × e^-1.4)/0!
P(X=0) = 1 × 0.2466 = 0.2466
P(X=1) = 1.4^1 × e^-1.4
P(X=1)= 1.4×0.2466= 0.3452
P(X<=1)= P(X=0) + P(X=1)
P(X<=1) = 0.2466 + 0.3452 = 0.5918
Answer:
x^3-x^2-22x+10
Step-by-step explanation:
Answer:
1) 0.50
2) 1
using probability formula
3x+12=39
Minors 12 on both side
3x=27
Divide 3 on both side
X=9