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]
3 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]3 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
For the second week of June, Kevin Adams worked 46 hours. Kevin earns $18.40 an hour. His employer pays overtime for all hours w
zimovet [89]

<u>Answer:</u>

$165.60 overtime money only

$736 regular time only

added together (gross income)

$901.60

<u>Step-by-step explanation:</u>

  • 46hrs
  • 18.40 an hr
  • hrs <em>over</em> 40 = overtime= *1.5

To figure out if there is any overtime here, we <em>subtract</em>.

46-40= 6hrs of overtime

To figure out the amount of cash gained for regular time, we <em>multiply.</em>

40*18.40 = 736

----------------

We need to know how much money is paid per overtime hour.

18.40*1.5 = 27.60

To figure out the amount of cash gained during overtime, we <em>multiply.</em>

6*27.60 = 165.60

<em>add</em> for gross income (total earnings)

165.60+736 = 901.60

7 0
3 years ago
PLZ HELPPPPPPPPPPPPPPPPPPPPPPPP
-BARSIC- [3]

Answer:

I think the awnser is probably b

3 0
3 years ago
Read 2 more answers
Help me anyone that great in math
pochemuha

Answer:

B) 24/35

Step-by-step explanation:

Cos(X)= Adjacent/Hypotenuse

Cos(X) = 24/25

Therefore, option B is your answer.

Hope this answers your question!!

6 0
2 years ago
The ratio of the sides of a triangle is 4:6:9. If the perimeter of the triangle is 95 meters,
Grace [21]

Answer:

45 meters

Step-by-step explanation:

Perimeter of the triangle is the sum of the 3 lengths of the traingle. Since the ratio of the sides is 4:6:9, let the shortest side be 4 units, the longest side be 9 units and the 3rd side be 6 units.

Units is represented as u.

Sum of all 3 sides= 95 m

4u +6u +9u= 95

19u= 95

u= 95 ÷19

u= 5 meters

Longest side= 9 units

Length of the longest side= 9(5) = 45m

5 0
3 years ago
the volume of the prism is 1122 cubic inches. use the formula V = BH to find the h of the prism. B= 93.5in.
Crank
V = Bh  ⇒  
h = V/B = 1122 / 93.5 = 12 inches.
3 0
3 years ago
Other questions:
  • Brittany is sell car magnets. She purchases them for $7.50 each and marks up the price by 30%. How much is Brittany planning to
    14·2 answers
  • Change 7/16 to a decimal
    15·2 answers
  • Please help, so confused
    11·1 answer
  • For the following system, use the second equation to make a substitution for x in the first equation.
    15·2 answers
  • I need help pleaseee its due in 10 min
    7·2 answers
  • A boutique specializes in leather goods for men. Last month, the company sold 20 wallets and 53 belts, for a total of $3,517. Th
    11·1 answer
  • 36 is what percent of 94?
    9·2 answers
  • Question is in picture
    12·1 answer
  • What is the measure of ONE interior angle in a nonagon?
    10·1 answer
  • Pls do the second one due today
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!