Question

a package contains 9 resistor 2 of which are defective find the probability of

0 being defective

1 being defective

2 being defective

3 being defective

Answer #1

Let X be a random variable representing the number of defective resistors in the package. Then X is a binomial random variable with n=9 and p=2/9.

We know

Then the probability of 0 being defective is

Then the probability of 1 being defective is

Then the probability of 2 being defective is

Then the probability of 3 being defective is

A manufactured parts is defective with probability 1/2 and being
defective or not is independent among all the parts. Bin A consists
of n + 1 parts and bin B consists of n parts. What is the
probability that bin A consists of more defectives than bin B?

A box contains 7 items, 4 of which are defective. a random
sample of 3 items are taken from the box. Let X be the number of
defective items in the sample. 1.Find the probability mass function
of X. 2.Find the mean and the variance of X.

Electric switches are shipped in packages of 12 items. The
probability that an item is defective is 0.15. What is the
probability that one package contains: (a) at least one defective
switch; (b) more than one defective switch. (c) If the shipper
decides to compensate the buyer for the defective switches by
paying $2 for each defective switch, what is the expected
compensation amount for each package of 12 items?

A box contains 25 parts of which 3 are defective and 22
are non-defective. If two parts are selected WITH replacement, find
the following probabilities;
P (both are defective) =
P ( exactly one is defective) =
P ( neither is defective) =

A tray of electronic components contains 22 components, 4 of
which are defective. If 4 components are selected, what is the
possibility of each of the following? (Round your answers to five
decimal places.)
(a) that all 4 are defective
(b) that 3 are defective and 1 is good
(c) that exactly 2 are defective
(d) that none are defective

In a box of 24 iPhones, 8 are defective. If 3 are sold,
find the probability that all are
defective.

An unbiased coin is tossed 15 times.
1. Find the probability that the coin lands heads exactly 9
times. a. 0.0003 b. 0.3571 c. 0.6429 d. 0.1527 e. 0.4213
2. Find the probability that the coin lands tails at most 3
times. a. 0.0002 b. 0.0037 c. 0.5000 d. 0.0176 e. 0.8723
3. Find the probability that the coin lands heads at least 3
times. a. 0.0005 b. 0.9963 c. 0.9333 d. 0.0003 e. 0.8890
A computer stores receives a...

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...

A box contains 4 defective and 2 good parts.
Two parts are selected from the box (without replacement), and it
is recorded whether the
selected part is defective or good.
The probability that the first selected part is defective and the
second selected part is good is
__________
The probability that exactly one good part is selected
is__________________
The probability that at least one defective part is selected is
_____________________

3. A box contains eight defective and twelve good transistors.
If five transistors are drawn, with replacement, in succession,
find the probability of drawing at most three defective transistors
using the tables provided.
Pdf for formulas: http://docdro.id/HLm3Ta5

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