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
martin pidio 1/8 de kg de clavos de 1/2 pulgada si la bascula es digital y pesa en kilogramos ¿cuantos tienes q marcar en este c
love history [14]

Martin will have to mark 0.125 on the

Let the original weight of the scale be 1kg. Hence we can say the original mark for 1kg weight is 1 that is:

1kg = 1 ................ 1

Since we are to calculate where to mark for a 1/8 kg weight, we can write;

1/8 kg = x  ..................2

Divide both expressions

\frac{1}{1/8}= \frac{1}{x}\\\\Cross \ multiply\\8= \frac{1}{x} \\x =  \frac{1}{8}

This means Martin will have to mark 0.125 on the scale.

Learn more here: https://brainly.lat/tarea/13002863

3 0
3 years ago
What part of 28 is 17?
timurjin [86]

Answer:

4

Step-by-step explanation:

Divide 28 by 4 to get 7

7 0
2 years ago
The sums of two prime numbers is 85.what is the product of these two numbers
vladimir1956 [14]
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83

83+2 is 85
so the product is the two numbers multiplied together which is 166</span>
4 0
3 years ago
Read 2 more answers
Certain flightness beetles havw wing​
Doss [256]

Answer:

yes. but they cant fly cuz the wings are jus for show or too scare predaters

3 0
3 years ago
15 points urgent please help.
Dima020 [189]

Answer:

ima take a wild guess and say a and c is right (im d u m b so i d k)

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Which one is it?? because I really I dont under<br>​
    13·1 answer
  • Could someone help me with this question? Man why am I stupid
    6·1 answer
  • Please help asap 20 pts
    5·1 answer
  • Hannah and Anthony are sibling who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations cou
    5·2 answers
  • How do you solve <br><img src="https://tex.z-dn.net/?f=%20-%204x%20%2B%2039%20%20%5Cgeqslant%20%20-%2029" id="TexFormula1" title
    10·1 answer
  • 15 dollars an hour for 1 week, how much will you make?
    8·2 answers
  • A student was given the equation x^2+2x-16=0 to solve by completing the square. The first step that was written is shown below.
    15·1 answer
  • What is -6+-3 equal integers
    13·1 answer
  • What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0
    11·2 answers
  • Suppose the following equation is true:<br> 3^x=81^y<br> What is the connection between x and y?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!