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
Pls, Help! I need this today!
solong [7]

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

4 0
3 years ago
HELP ASAP!! 100 POINTS!!<br><br> describe how you would plot the point (-4, 3)
fredd [130]

Answer:

Hi!

First you would start at -4 on the x-axis, then you would move up 3 spaces and put your point there.

The x-axis is the horizontal line, and the y-axis is the vertical line.

I hope this helps you!

6 0
3 years ago
Read 2 more answers
A student is saving money to buy a video game. The student currently has $20 and plans to save $10 every month. Write a function
4vir4ik [10]

Answer:

y = amount saved in dollars

x = months

Since the student already has $20 dollars saved (20) and plans to save $10 per month (10x), the equation so far is y = 20 + 10x.

You can use this to solve questions based of the equation/situation by filling in any numbers you are given where the variables are.

Hope this helps! :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the solution to the equation −p − 13 = −4 /3 p + 2/3 ( 5p − 6 ) ?
jekas [21]

Answer:

The answer is p= 2 and 1/3

Step-by-step explanation:

This answer can be found using the order of operations to solve for p.

Start by distributing 2/3 by (5p-6)

add -4/3p to 10/3p equaling 6/3p or 2p

subtract 13 from both sides

-p= 2p - 7

p=2 and 1/3

3 0
2 years ago
WILL GIVE BRAINLIEST
barxatty [35]
B is the only number that is divisible by 3
5 0
3 years ago
Other questions:
  • Find the exact value of the expression
    15·1 answer
  • What is the solution for t3=30​
    7·2 answers
  • I need help with 9 10 11
    12·1 answer
  • Help me with the question below
    10·2 answers
  • Simplify. (3x7z2)4 A. 81x11z6 B. 81x28z8 C. 81x3z2 D. 12x28z8
    14·1 answer
  • Please I need help with this question!!
    12·2 answers
  • I need help please !!!!
    12·1 answer
  • What is the answer to the expression (7x- 5)
    9·1 answer
  • Triangle JKL is dilated with the origin as the center of dilation to create J’K’L’.
    13·2 answers
  • The following table shows how far a bus has gone in t hours. Which of the following equations represents this information?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!