IEE 380 Exam 1 Question and answers rated A+ 2025/2026

IEE 380 Exam 1 Question and answers rated A+ 2025/2026
1. The probability a lab specimen contains high lev- 0.3251
els of contamination is 0.15. A group of 3 inde-
pendent samples are checked. P(H1 n H2' n H3') + P(H1'
n H2 n H3') + P(H1' n H2'
What is the probability that exactly one n H3)
sample contains high levels of
contamination?

2. In Siberia there is a probability of 0.50 N = Not wearing a fur
that a person is wearing a fur coat, in coat S = In Siberia
Urals there is a
probability of 0.70 that a person will be wearing a U = In Urals
fur coat. There is a probability of .60 that you are
in Siberia and a probability of 0.40 that you are in P(N) = P(N|S) x P(S)
+ P(N|U) x
Urals. P(U) = 0.42

What is the probability that a person is
not wear-ing a fur coat?

3. What is another term for mean? Expected value

4. For the case of the thin copper wire, Lambda = 2.3
suppose that the number of flaws, X, T=2
follows a Poisson distribution with a rate
of 2.3 flaws per mm. A 2mm piece of P(X=0) = possionpdf(2.3(2),
wire is defective if it contains at least 1 0) = 0.1005
flaw. What is the probability there are P(Y=50) = binompdf(50,
no defective pieces of wire if we sample 0.1005, 50) = 0
fifty 2mm pieces?
Therefore the probability is 0

5. Let the continuous random variable X denote the Continuous so P(X < 5)
= integral
1/
13

, current measured in a thin copper wire in mil-
from 4.9 to 5.0 of 5dx = 0.50
liamperes (mA). Assume that the range of
X is 4.9
<= x <= 5.1 and f(x) = 5.




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