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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IE 342 - Probability and Statistics for Engineers
Fall 2012
Midterm 1
Practice problems
1. Exercise and diet are being studied as possible substitutes for medication to lower blood
pressure. Three groups of subjects will be used to study the eect of exerc
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