Question 1058353
1. 8C6(.8^6)(.2^2)=0.2936
8C7(.8^7)(.2)=0.3355
8C8(.8^8)=0.1678
Sum is 0.7969.
2. 8C5(.8^5)(.2)^3=0.1468
Add in the above two for 6 and 7 and the total is 0.7759
3.At most 6 means everything but 7 and 8, whose collective sum is 0.5033. The probability is the complement or 0.4967.
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Poisson distribution and parameter is proportional to time
Morning rush hour would have a parameter equal to 2*1.5 or 3
probability of no accidents is e^(-3)*3^0/0!=e^(-3)=0.0498.
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Here the parameter is 2*2 or 4. and we want x=2.  It is e^(-4)*4^2/2=0.1465.
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Find probability of 0,1,2,3 accidents in the morning.
for 0 it is 0.0498
for 1 it is 3 times that or 0.1494
for 2 it is e^(-3)*3^2/2=0.2240
for 3 it is e^(-3)*27/6=0.2240.
total is 0.6473, so complement and answer is 0.3527.
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Morning probability is 0.0498. Evening is 0.0183.  Joint probability is 0.0009