Question

One factory produces 20 identical pencils per minute, 3 of which
come out defective. A

worker makes a random choice by drawing two pencils. Find as
follows;

(a) Which are the values of the Variable X (random choice)?

(b) Find the probability of the Random Variable X (the
probabilistic distribution f(x) for the

number of defectives). Construct the proper table.

(c) Find the discrete distribution function F(x) of discrete random
variable X with probabilistic

distribution f (x). Construct the proper table.

(d) Sketch the graph of discrete distribution function F(x), (found
at the point c) above).

Answer #1

In a factory, computer hard drives are collected in boxes
containing 40 hard drives each. A box has 6 defective hard drives,
and 34 hard drives which are not defective. A quality control
inspector randomly selects 3 hard drives in that box. Consider the
discrete random variable X defined as the number of defective hard
drives the inspector selects. Find the probability mass function pX
of X. Sketch the corresponding cumulative distribution function
F

QUESTION 5- A factory produces pins of which 1.5% are
defective. The components are packed in boxes of 12. A box is
selected at random.
(1) n =
(2) p = (Round to four decimal places)
(3) q = (Round to four decimal places)
Find the following probabilities (Round ALL answers to four
decimal places):
4) The box contains exactly 6 defective pins
5) The box contains at least one defective pins
6) The box contains no more than two...

Question 1
Refer to the probability function given in the following table
for a
random variable X that takes on the values 1,2,3 and 4
X 1 2 3 4
P(X=x) 0.4 0.3 0.2 0.1
a) Verify that the above table meet the conditions
for being a discrete probability
distribution
b) Find P(X<2)
c) Find P(X=1 and X=2)
d) Graph P(X=x)
e) Calculate the mean of the random variable
X
f) Calculate the standard deviation of the random
variable X...

MATHEMATICS
1. The measure of location which is the most likely to
be
influenced by extreme values in the data set is the a. range
b.
median c. mode d. mean
2. If two events are independent, then a. they must be
mutually
exclusive b. the sum of their probabilities must be equal to one
c.
their intersection must be zero d. None of these alternatives
is
correct. any value between 0 to 1
3. Two events, A and B,...

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