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
zmey [24]
2 years ago
14

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t

hat among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.
Mathematics
1 answer:
torisob [31]2 years ago
5 0

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

You might be interested in
PLEASE HELP(Mainly 15 & 16) I can give BRAINLIEST!!!
lisov135 [29]

Answer: sorry I don't get it but the answer for 16 is B sorry

Step-by-step explanation:

What do they teach you they are weird t doesn't make any sense

6 0
3 years ago
3 4/9x5/9 will be lesser or greater than 3 4/9
Dmitry_Shevchenko [17]
It equals 1 74/81 which is less than 3 4/9
3 0
3 years ago
Given m n, find the value of X.
Brut [27]

Answer:

x = 62

Step-by-step explanation:

62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

7 0
3 years ago
Let set C = {even numbers between 1 and 99} and set D = {numbers between 1 and 150 that are evenly divisible by 10}.
Alex
C=\{2;\ 4;\ 6;\ 8;\ ...;\ 98\}\\\\D=\{10;\ 20;\ 30;\ 40;\ 50;\ 60;\ ...;\ 140\}\\\\C\ \cap\ D=\{10;\ 20;\ 30;\ 40;\ 60;\ 70;\ 80;\ 90\}\\\\Answer:\boxed{A}
4 0
3 years ago
Slope:<br><br><br> Y-Intercept <br><br> Please help
Aleksandr [31]

Answer:

The y intercept is 4.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the circumference of the circle
    6·2 answers
  • Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at ran
    10·1 answer
  • If the distance between Buffalo, NY and Albany, NY is
    5·1 answer
  • BRAINLIEST!!
    12·2 answers
  • Which expression has a value that is equivalent to 5n+13 when n= -15
    11·2 answers
  • (Cosx)/(1+sinx) - (1+sinx)/(cos) solve
    9·2 answers
  • Help meeeeeeeeeeeeeeee
    6·1 answer
  • math su.cks.....................................................................................................................
    11·2 answers
  • Please I don’t understand this can someone help
    10·2 answers
  • Please help with this! I have to reflect over the x axis by the way
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!