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
Gnesinka [82]
2 years ago
14

Suppose I work on a factory line doing quality control work. Since I've been working here for such a long time, I am fairly conf

ident that 15% of all items (independent of all other items) need to be sent back to be re-worked. These items take a fairly long time to check properly, but it is the same set of steps every time, so I always check 25 items every shift. Let X be the number of items sent back to be re-worked during a given shift. What is the distribution of X? Give the name of the distribution and the appropriate parameters. What is the mean and variance of this distribution? Give your answer as a number, but include the formulas (or logic) used. What is the probability I send back less than 4 items to be re-worked during a single shift? What is the probability I send back exactly 3 items to be re-worked during a single shift?
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
8 0

Answer:

Step-by-step explanation:

a) It is a binomial distribution.

n = 25

p = 0.15

b) mean = np = 25 * 0.15 = 3.75

   variance = np(1 - p)

                 = 25 * 0.15 * (1 - 0.15)

                 = 3.1875

c) P(X = x) = nCx * px * (1 - p)n - x

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

            = 25C0 * (0.15)^0 * (0.85)^25 + 25C1 * (0.15)^1 * (0.85)^24 + 25C2 * (0.15)^2 * (0.85)^23 + 25C3 * (0.15)^3 * (0.85)^22 = 0.4711

d) P(X = 3) = 25C3 * (0.15)^3 * (0.85)^22 = 0.2174

You might be interested in
How long will it take $3000 to earn $900 interest at 6% simple interest?
a_sh-v [17]

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

4 0
2 years ago
List the angles of triangle ABC in order from smallest to largest measure if AB = 9, AC = 11, and BC = 10.
galben [10]
Across smallest side- smallest angle.
across largest side- largest angle
largest side is AC, so largest angle is B
smallest side is AB, so smallest angle is C
angles from smallest to largest : C, A, B
4 0
3 years ago
The amount of snow on the ground increased by 4 inches between 1 p.m. and 6 p.m. What integer represents the amount of snow that
scZoUnD [109]

Answer:

The snow from each event melts off before the next accumulation and no snow is on the ground at your scheduled time of observation. The total snowfall for that reporting 24-hour day is the sum of the three separate snow squalls, 6.7 inches, even though the snow depth on your board at observation time was zero. Snow often melts as it lands. your welcome!

3 0
2 years ago
Explain what the equation 3x = 6 means without using the word equal.
Alexandra [31]

Step-by-step explanation:

1. 3 multiplied by x is the same value of 6

2. since 3x is on the left side we have to divide the equation by 3 on both sides which doesn't change the value of x, but it helps us get the value for x. so when you divide the equation by 3 the answer for x=6/2 which 2 divided by 6=3

Hope that helps :)

7 0
3 years ago
Decide whether the relation defines a function.
levacccp [35]
B. Not a function because both (3,6) (4,6) have the same y making them not a function
4 0
3 years ago
Read 2 more answers
Other questions:
  • H (t) = –16t 2 + 128t. What is the height of the javelin after 5 seconds?
    14·1 answer
  • The exterior angles of triangle UVW are ∠X, ∠Y, and ∠Z, and they are adjacent to ∠U, ∠V, and ∠W, respectively.
    15·1 answer
  • The forecast calls for a 10% chance of rain on Monday. It’s _______ that it will rain on Monday.
    11·1 answer
  • Which is equivalent to 2 5/6<br><br>A. 5/3<br>B. 7/6<br>C. 17/6<br>D. 12/5
    14·2 answers
  • HELP ME!!! WHAT IS THIS?<br> 1+1
    14·2 answers
  • A swimming pool has 143 gallons of water in it. The swimming pool drains at a rate of 8 gallons per minute. How much water is in
    6·2 answers
  • Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equat
    15·2 answers
  • 1 1/4 divided by 2/3
    14·2 answers
  • Please solve in the picture!
    9·2 answers
  • Possible
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!