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
vladimir2022 [97]
3 years ago
5

intext:"A shipment of 50 inexpensive digital​ watches, including 6 that are​ defective, is sent to a department store. The recei

ving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be​ rejected?"
Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

0.7125

Step-by-step explanation:

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes (with probability p) in a sequence of n independent events.

The probability of getting exactly x successes in n independent Bernoulli trials =  n_{C_{x}}(p)^x(1-p)^{n-x}

Total number of watches in the shipment = 50

Number of defective watches = 6

Number of selected watches = 10

Let X denotes the number of defective digital watches such that the random variable X follows a binomial distribution with parameters n and p.

So,

Probability of defective watches = \frac{X}{n}=\frac{6}{50}=0.12

Take n = 10 and p = 0.12

Probability that the shipment will be rejected = P(X\geq 1)=1-P(X=0)

=1-n_{C_{x}}(p)^x(1-p)^{n-x}\\=1-10_{C_{0}}(0.12)^0(1-0.12)^{10-0}

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

So,

Probability that the shipment will be rejected = =1-\left ( \frac{10!}{0!(10-0)!} \right )(0.88)^{10}

=1-(0.88)^{10}\\=1-0.2785\\=0.7125

You might be interested in
PLEASE HELP!!!! Write a solution for the equation 6x-8=4x
antoniya [11.8K]

Answer:

X=4

Hope this helped some.

6 0
2 years ago
Read 2 more answers
Find the value of √121 + 3√125 <br>plz help​
Alekssandra [29.7K]

Answer:

The answer is 11 + 15√5 or in decimal form, 44.54

Step-by-step explanation:

Just find the square root of the numbers and answer the rest of the question.

Hope this helps!!

Please mark Brainliest!

7 0
3 years ago
Lynn goes to the supermarket and purchases 6 boxes of cookies for $11.04. Each box contains 8 cookies. What is the price per coo
aksik [14]

Answer:

Step-by-step explanation:

6 x 8 = 48

11,04 x 6 = 66,24

66,24/48 = 1,38$

8 0
3 years ago
Answer the question below
olga2289 [7]

Answer:

brown

5/6

green

1/2 or 3/6

5/6

-3/6

2/6

so 2/6 or 1/3 sack of green lentils more

Step-by-step explanation:

4 0
2 years ago
Fabric comes in rolls that are 60 inches wide. Draw a diagram of how you can cut the fabric from a roll that is 10 feet long. Te
Aloiza [94]
All I know is 2k is lit
5 0
3 years ago
Other questions:
  • According to the general equation for conditional probability, if P(A, B) =4/7
    13·1 answer
  • What is 2/5 divided by 3/4
    13·1 answer
  • in Mr. Rodgersd' Social Studies class the stuents took a test. The scores on the test were: 95, 85, 75, 90, 70, 95, 85, 80, 75,
    9·2 answers
  • Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t
    8·1 answer
  • In this given graph, f(x) is a polynomial modeling the Pi-guy, the math superhero, flying around. Write an equation in terms of
    8·1 answer
  • Find the midpoint of the segment from point a (6,3) to point B (8,1)
    12·2 answers
  • Fifty- five percent of the students at west side middle school walk to school. What fraction of the students walk to school
    15·1 answer
  • Henry's baseball practice starts at 2:00 pm. It lasts 1 hour and 45 minutes. What time does he get out of baseball practice? Wri
    14·1 answer
  • Ash invests £200 and gets 3% interest per year.<br> How much will she have after 5 years?
    13·1 answer
  • Betty invests $45,000 into a cd which has an interest rate of 6.3% that compounds monthly for a total of 5 years. how much will
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!