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
jok3333 [9.3K]
3 years ago
15

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

endent new patents recorded.a) What is the probability that at least 2 of these new patents will earn a substantial profit?
Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

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".

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

X \sim Binom(n=30, p=0.05)

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!}

Solution to the problem

For this case we want this probability:

P(X \geq 2)

And we can use the complement rule and we got:

P(X \geq 2) = 1-P(X

And we can find the individual probabilities using the probability mass function and we got:

P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146

P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389

And replacing we got:

P(X \geq 2) = 1-P(X

You might be interested in
What is the area of the triangle?<br> 6<br> 18<br> units
sweet [91]

Answer:

54 units

Step-by-step explanation:

multiply 6 x 18 = 108 and divide by 2 to get 54. The equation for the area of a triangle is base x height divided by 2.

4 0
2 years ago
Read 2 more answers
Answer to this question
777dan777 [17]

Answer:

3/2

Step-by-step explanation:

Rewrite the equation by swapping x by y.

6 0
2 years ago
Use the commutative and associative properties of multiplication to write an expression equivalent to (4⋅5)⋅3.
Darina [25.2K]
Commutaive property says
ab=ba or expanded to say
abc=cba

associative peropty =
a(bc)=(ab)c

so using that
first mix them up knowing that we can move the parenthaseese
all possible equivelnt ones are
4*(5*3)
(3*5)*4
3*(5*4)
(3*4)*5
3*(4*5)
 
4 0
3 years ago
The letters 's', 't', 'u', 'd', 'y', 'i', 's', 'l', 'a', 'n', 'd' are placed in a bag. one letter is randomly selected from the
Aleks [24]

Answer:

<em><u>7/11</u></em>

Step-by-step explanation:

There are 11 letters in 'S', 'T', 'U', 'D', 'Y', 'I', 'S', 'L', 'A', 'N', 'D', so there are 11 letters in the bag.

There are 7 consonants in the bag.

So, the probability of selecting a consonant is 7 out of 11, or 7/11

3 0
3 years ago
Help me below so i dont fail please
andreyandreev [35.5K]
Your good its 80 one way you can always tell if its a triangle  is if all the angles add up to 180 
8 0
3 years ago
Other questions:
  • Last question helo me pls
    12·1 answer
  • a watch is getting slow by 2 minutes for each hour in a day . if it shows 10 am now. what shall be the time after 12hours
    7·2 answers
  • Please please someone help me
    11·1 answer
  • 5t + 5 = 30 solve for t
    5·2 answers
  • ................<br> ...................
    9·1 answer
  • Can anyone slove this question.
    6·2 answers
  • Rectangle ABCD is reflected on a coordinate plane over the x-axis to create
    8·1 answer
  • Do long division for each fraction ✔️
    12·2 answers
  • (Aye, aye, captain)
    15·2 answers
  • f(t) = t^2 + 19t + 601) What are the zeros of the function?Write the smaller t first, and the larger t second.smaller tlarger t2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!