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
Brrunno [24]
3 years ago
8

In a certain city district, the need for money to buy drugs is stated as the reason for 38% of all thefts.

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Answer:

a) P(X=3)=(7C3)(0.38)^3 (1-0.38)^{7-3}=0.28378  

b) P(X\leq 4) =P(X=0)+P(X=1)+P(X=2) +P(X=3)+P(X=4)

P(X=0)=(7C0)(0.38)^0 (1-0.38)^{7-0}=0.0352  

P(X=1)=(7C1)(0.38)^1 (1-0.38)^{7-1}=0.1511  

P(X=2)=(7C2)(0.38)^2 (1-0.38)^{7-2}=0.2778  

P(X=3)=(7C3)(0.38)^3 (1-0.38)^{7-3}=0.28378  

P(X=4)=(7C4)(0.38)^4 (1-0.38)^{7-4}=0.17393  

And adding we got:

P(X \leq 4) = 0.92181

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  

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

X \sim Binom(n=7, p=0.38)  

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!}  

Part a

For this case we want this probability

P(X=3)

And using the pmf we got:

P(X=3)=(7C3)(0.38)^3 (1-0.38)^{7-3}=0.28378  

Part b

P(X\leq 4) =P(X=0)+P(X=1)+P(X=2) +P(X=3)+P(X=4)

P(X=0)=(7C0)(0.38)^0 (1-0.38)^{7-0}=0.0352  

P(X=1)=(7C1)(0.38)^1 (1-0.38)^{7-1}=0.1511  

P(X=2)=(7C2)(0.38)^2 (1-0.38)^{7-2}=0.2778  

P(X=3)=(7C3)(0.38)^3 (1-0.38)^{7-3}=0.28378  

P(X=4)=(7C4)(0.38)^4 (1-0.38)^{7-4}=0.17393  

And adding we got:

P(X \leq 4) = 0.92181

You might be interested in
Plz someone help me on this too plz plz
san4es73 [151]
1. 7 and -7 are both 7 units away from 0.  They are 14 units away from each other. Absolute value helps because rather than 7+(-7) being 0 absolute value makes anything positive so it becomes 7+7=14 to be able to count the units between the two.

2. 5 and -5 are both 5 units away from 0.  They are 10 units away from each other. Absolute value helps because rather than 5+(-5) being 0 absolute value makes anything positive so it becomes 5+5=10 to be able to count the units between the two.

3. 2 and -2 are both 2 units away from 0.  They are 4 units away from each other. Absolute value helps because rather than 2+(-2) being 0 absolute value makes anything positive so it becomes 2+2=4 to be able to count the units between the two.

Hope that helps
8 0
3 years ago
I DONT CARE IF YOU LOOK THIS UP JUST DO THE CORRECT ONE ON THE SOURCE AND BEST STARS: https://brainly.com/question/7807259
salantis [7]

Answer:

60% heads

Step-by-step explanation:

7 0
3 years ago
Write a word phrase for each algebraic expression 5(x-2)
givi [52]
Five times the sum of x and negative two, or five times the difference of x and two
6 0
3 years ago
PLZ help ASAP!!! I will mark Brainliest!
GuDViN [60]

Answer:

C

Step-by-step explanation:

x=60

60

60+30=90

60-30=30

60+90+30=180

6 0
3 years ago
Read 2 more answers
Which equation can be solved to find one of the missing side lengths in the triangle?
tester [92]

Answer:

cos(60) = 12

Step-by-step explanation:

I don't understand the question, but that is the only logical answer choice.

6 0
3 years ago
Other questions:
  • My question is what is 809 times 56
    15·2 answers
  • Destiny is an artist and earns $8.70 an hour during a regular workweek. Last week,
    12·1 answer
  • Two friends, Hailey and Jenna bought two tickets to see a play at a local theater . Each ticket cost $17.25. Each friend donated
    8·1 answer
  • Which expression is equivalent to h+0.67h-0.36h
    10·1 answer
  • Which better describes the data set, the mean or the median?
    13·2 answers
  • Farmer jones plows 24 acres in 10 hours how long does it take him to plow 80 acres
    5·1 answer
  • the perimeter of a rectangle is 192 ft. the ratio of its length to its width is 7:5 what are dimensions of the rectangle?
    6·1 answer
  • Please help with all, I’ll mark brainliest as long as you tell me how you got those answers. :)
    14·2 answers
  • Kalani has run 4 1/5 miles in 2/3 an hour. If he continues to run at this rate, how many miles will he run in one hour?
    9·1 answer
  • Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!