1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
evablogger [386]
3 years ago
8

A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume tha

t each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent. Find the mean number of packages that will be filled before the process is stopped. Numeric Response
Mathematics
1 answer:
swat323 years ago
5 0

Answer:

The mean number of packages that will be filled before the process is stopped is 50.

Step-by-step explanation:

For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Number of trials expected for n sucesses

Also called inverse binomial distribution, is given by:

E = \frac{n}{p}

In which p is the probability of a success in a trial.

Assume that each package has probability 0.02 of falling outside the specification and that the weights of the packages are independent.

This means that p = 0.02

Find the mean number of packages that will be filled before the process is stopped.

This is when n = 1, as the process is stopped when a package is outside the specifications. So

E = \frac{n}{p} = \frac{1}{0.02} = 50

The mean number of packages that will be filled before the process is stopped is 50.

You might be interested in
(01.02 LC)
jonny [76]

Answer:

3

Step-by-step explanation:

Solve for x:

-6 + x = -3

Add 6 to both sides of the equal sign so -6 cancels out on the left side

+6 - 6 + x = -3 + 6

x = - 3 + 6

x = 3


I hope this helps! Good luck with your schoolwork :)

6 0
3 years ago
Which of the following is a true statement about the triangles shown on the graph
sveticcg [70]
It's D. Slopes are the same, because if you divide opposite and adjacent side of both triangles, you get the same result. Count the squares, for the smaller triangle it's 2/2=1 and for the bigger one it's 4/4=1.
5 0
3 years ago
Given 2x⁵-6x³-4x²-2x+4 =0 solve for x
saul85 [17]

Answer:

Step-by-step explanation:

3 0
2 years ago
A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 272 to a? z-score
dem82 [27]

Answer:

z-score = 1

Step-by-step explanation:

Given

Mean= μ=240

SD= σ=32

In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.

The formula for z-score is:

z-score=(x-μ)/σ

Here x is the value whose z-score is to be found.

In the given question, x = 272

So,

z-score=(272-240)/32

=32/32

=1

So , the z-score for 272 is 1..

7 0
3 years ago
Which shows the following expression after the negative exponents have been eliminated?
Sati [7]
B. Negative exponent flip from denominator to numerator and numerator to denominator.
B is the second option.
6 0
2 years ago
Other questions:
  • the inequality simplifies to 3/x+2+1>0. which inequality is equivalent? a. 4/x+2>0 b. 4/x+2<0 c. x+5/x+2>0 d. x+5/x+
    9·2 answers
  • 1.9r+0.1r=0.6 what s the value of r
    14·1 answer
  • Helppppp plzzz‼️‼️‼️‼️ its slope-intercept form do number 35 only
    14·1 answer
  • Freddy fazbear sells pizza slices that are 1/8 of a pizza pie for $1.50 each.A soda is sold for $1.25. If he sells 32 slices of
    9·1 answer
  • Please help! I'm having a lot of trouble
    15·1 answer
  • In a recent year, 33.9% of all registered doctors were female. If there were 44,800 female registered doctors that year, what wa
    5·1 answer
  • Using π = 3.14, what is the circumference of a circle with a diameter of 28 units?
    13·1 answer
  • BRAINIST & 20 POINTS!!
    6·2 answers
  • Let g be the piecewise defined function shown.
    15·2 answers
  • Shelby bought 2 cans of paint and 3/4 of a pint of special paint additive formulated to reduce mildew. Before painting her house
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!