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
The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. A sample of 200 c
Troyanec [42]
So,, there are 5 different flavors. A total of 180 people were asked. Hence, the hypothesis that there is no significant difference is that every flavor gets 180/5=36 flavors. x^2=\sum{\frac{(x_i)^2}{m_i}}-n. In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by \sqrt{X^2}/ \sqrt{N(n-1)}. This yields around 0.10, much higher than our limit.
8 0
3 years ago
What ia the order of 1 2/3 , 1 1/6 and 1 5/6
Fittoniya [83]
1 1/6, 1 2/3, 1 5/6 is the order. :) hope I helped!
5 0
3 years ago
If the Lafita family deposits 8500$ ina savings account at 6.75% interest, compounded continuously, how much will be the account
julsineya [31]
A=pe^rt
A=8,500×e^(0.0675×25)
A=45,950.57
8 0
3 years ago
Vertex: <br> (<br> 2<br> ,<br> 0<br> )<br> , Passes through: <br> (<br> 5<br> ,<br> −<br> 18<br> )
NemiM [27]

Answer:

2>0                5>-18

Step-by-step explanation:

8 0
2 years ago
Simplify the following <br>(1 1/2) ^-2​
Serjik [45]

Answer:

1/2.25 or 4/9

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 2.789 in word form and in expanded form
    15·2 answers
  • Clearing fractions<br><br> SOLVE
    12·1 answer
  • Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1))
    14·1 answer
  • Write addition sentences (expression) where the sum is zero. <br><br> can someone make a expression
    12·2 answers
  • Are sin and cosine graphs supposed to be curved (u-shape) or up and down (like a v-shape)?
    7·2 answers
  • you purchased 10.75 gallons of gasoline at 3.60/gallon. you also bought a cookie (1.25) and windshield wiper fluid at (4.97). th
    5·1 answer
  • PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .
    8·1 answer
  • The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated b
    11·1 answer
  • The given term is 6n-38,<br> can u find the first four terms in the sequence
    9·1 answer
  • Help with #1 so I can get the gist of it please?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!