CARNEGIE MELLON UNIVERSITY
Statistics for Engineers and Scientists
Exam # 2 7
Statistics for Engineers and Scientists
Spring 2015
Exam#2
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Instructions. (lispoznts) Write the an: r..- .... ms spam gm... 1.2.»

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robability distributions have random variables whose values form a Si".
alue, 11:11:11 aided
1. D' crete _
a) 15 p The probabilities for each random variable .'
(these values are c0untabIe).
together, equal 100%.
13,2, 1 and 0. 0.60 + 0.25 +

Homevvork 03
Statistics for Engineers and Scientists, Spring 2015
Due 11 February 2015
REMEMBER TO WRITE YOUR NAME, ANDREW ID. AND COURSE # ON THE FIRST PAGE OF YOUR ASSIGNMENT
1. Problem 4.7. Reliability of a bridge network. A team of Chinese univers

1- e ,_ 3???? vomc
a) _ . 10.51 -
i: There is one outher With an abnormally 1,
large value, and four outliers with very low m
values.
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b) 2 = (x - mean)/stdev 5 m
if [2] >3, it is an outlier. .._
Thus, x has to be > (zlstdev) +mear1, which -

I. A dry-bean supplier lls bean bags with two machines: H and Ms. He uses machine MA to [ill
(30% of all the bags. The weight of the beans that the machine MA puts into :1 bag is n nermal
random variable. with menn 15.7 ounces and variance 4 ounces, and t

36-220 Engineering Statistics and QUEUILy wuuui
HW 9
1, a) CI = (3630038100) $2.08Psqrt(SOOOA2/12 + 61002/12) = (6535, 2935) L/
b) Using F distribution, use alpha/ 2, set the tail probability to 5%
Z) 175% = 0.3549, F959,, = 2.818 calculated using Minit

III A team nlexplorern climbing Mount Everest have 2 identical looking satellite radios_
Exercise
ln'm radio A mul radio 13. Leta dehne the events:
\\'e will call t
. X; Thu Winn-Mum of Mountain Evertth is below 0 degrees Fahrenhmt,
a Y: The temperat

(1. (From Ross (2000).) A pharmaceutical house produces a certain dru
lms n stnndnrd deviation of 0.5 milligrams. The companys research
new method of producing the drug. However, this entails some cost,
only if there is strong; evidence that the standard