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
Drag each rational number to the correct location on the table.
andrey2020 [161]

Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

3 0
2 years ago
Jamal drew a picture.
inessss [21]

area of rectangle = l×b

So, area of drawing = l×b = 8cm×4cm = 32cm²

7 0
3 years ago
What is the solution to the following system of equations? x+y=5
marta [7]

Answer:

(3,2)

Step-by-step explanation:

Let's solve this via elimination method:

\begin{cases} x+y=5\\x-y=1\end{cases}

By subtracting equation 2 from equation one we obtain:

\begin{cases} x+y=5\\-(x-y=1)\end{cases}\\\\0x+2y=4\\\\y=2

Next we can use any equation either 1 or 2 to determine what x is, I'll use equation 1.  Let y=2 and so:

x+y=5\\\\x+2=5\\x=5-2\\\\x=3

Therefore the solution for the system of equations is:

x=3 and y = 2 as an ordered pair we have (3,2)

7 0
3 years ago
What is is the total amount of her order?​
ValentinkaMS [17]

Answer:

She ordered 11 things

Step-by-step explanation:

you should have added the cost of each item then I could have given you the whole answer

6 0
2 years ago
I will give brainliest to whoever answers even if it’s just one part. please:)) i’ve been trying for so long
wariber [46]

Answer:

check your commments

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of
    7·1 answer
  • A fair coin is tossed three times.what is the probability that at least two heads will occur given that at most two heads have o
    12·1 answer
  • Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 25 birds. How many more robins did she t
    10·2 answers
  • On a number line, the coordinate of X is 52, the coordinate of Y
    10·1 answer
  • A health group conducted a survey. It showed that a heavier newborn did not necessarily need a larger or smaller amount of diape
    6·1 answer
  • You don’t have too answers both of them just one of them (unless u want)
    5·2 answers
  • Stephan can run 3 miles in 15.75 minutes. Kelsha can run 5 miles in 226 minutes.
    11·1 answer
  • Christia is saving for a new tablet. It costs $90. She has already saved $23. How much more does she need to save?
    5·1 answer
  • Which rule describes the relationship between the ex and Y coordinates on the following graph
    8·2 answers
  • Please help with my fractions
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!