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
Misha Larkins [42]
3 years ago
12

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

Find the probability that the sample contains exactly one defective item
Mathematics
1 answer:
Finger [1]3 years ago
3 0

Answer:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem  

For this cae that one buggy whip would be defective is p = \frac{5}{20}=0.25

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=5, p=0.25)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want to find this probability:

P(X=1)

And using the probability mass function we got:

P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396

You might be interested in
How many minutes does it take a man to walk a mile if he walks at a rate of 4 feet per second
Serjik [45]

Answer:

1,320 seconds or 22 minutes to walk 1 mile

Step-by-step explanation:

5280 feet (1 mile) ÷ 4 feet per second = 1,320 seconds or 22 minutes

3 0
3 years ago
PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
seropon [69]

Answer:

radius and number rotation

4 0
2 years ago
What is the length of side AC as shown on the coordinate plane?
Anon25 [30]

Answer:

Easy, 4 units

Step-by-step explanation:

4 0
3 years ago
A high school track is shaped as a rectangle with a half circle on either side. Jasmine plans on running TWO laps. How many yard
finlep [7]

Answer:

880 yards

Step-by-step explanation:

4 0
2 years ago
What is the solution of the following system of equations: x = y + 9
mars1129 [50]

Answer:

Answer is (10,1)

Step-by-step explanation:

in photo

4 0
2 years ago
Other questions:
  • G = {(0, 1)} Is G-1 a function and why?
    7·2 answers
  • Geometry...please help Q.Q
    13·1 answer
  • i need help with this question... the word "GC" in the question stands for graphic calculator so u could just ignore that part o
    11·1 answer
  • Is this correct????.????.??.??
    14·1 answer
  • Someone please help with this middle school math lol
    11·1 answer
  • Which ordered pair is a solution to the following linear system?
    12·1 answer
  • In a​ company, ​75% of the workers are women . If 1,475 people work for the company who​ aren't women ​, how many workers are th
    13·1 answer
  • Suppose I have a wooden cube, which I then split into eight equal pieces. If I give you two of those pieces, and then give you t
    7·2 answers
  • Calculate 19 over 6 and write the answer as decimal
    8·2 answers
  • Investments increase exponentially by
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!