IE 342: Group Project #2
IE 342
19 October 2015, 3:00 P.M.
1
Problem #1
For this problem, I decided to take a six-sided die and tossed it many times (the results of
the tosses can be seen in table 1). What I am looking for is this, in the long run, what w
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5.53 [0.] PH? e a] = E pcfw_:1:;5= 1 nes =0.3040.
:r= 111:!)
[0 PL: = 0] = 1:01:51 = 0.0007.
5.61] cfw_11] Using the Poisson distribution with p. = 12, we nd from Table 111.2 that
PUT: 4: = PUT: 11'. = 3458.
[b] Using the binomial distribution 1with p =
2.77 (a) P(MmPnH)E 5
68 E?
P HmMnP 2210 12 3
(b)P(HM|P):(P(Pq ):10068:2:s-
2.83 Consider the events:
A: the vehicle is a camper,
B: the vehicle has Canadian license plates.
P(A) 0:28 2 -
P A B
(0 PM | B) 2 13(3) 2 3:93 = i-
(c) P(B u A) :1 P(A n B)
Sum of the probabilities exceeds 1.
Sum of the probabilities is less than 1.
A negative probability.
Probability of both a heart and a black card is zero.
2.51 S : cfw_$10,$25,$100 with weights 275/500 : 11/20, 150/500 : 3/10, and 75/500 : 3/20,
respectiv