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
Anuta_ua [19.1K]
3 years ago
9

According to a​ survey, 67​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

last year are randomly​ selected, and the number cleared by arrest or exceptional means is recorded.
a) Find the probability that exactly 41 murders were cleared.
b)The probability that between 36 and 38 of the murders, inclusive were cleared is?
c) Would it be unusual if fewer than 20 of the murders were cleared? why or why not?
Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

a) P(X=41)= 0.0086 = 0.86%

b) P(36≤X≤38)== 0.1215 = 12.15%

c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%

Step-by-step explanation:

if the random variable X= number of cleared murders , then X follows a binomial distribution:

P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)

where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)

therefore

a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086

b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215

c) P(X≤20) = 0.000081

therefore would be unusual that fewer that 20 murders were cleared

You might be interested in
8.508 8.58 7.5 7.058 what is the decreasing order
Ostrovityanka [42]
First 8.58
Second 8.508
Third 7.5
Fourth 7.058
3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
kvasek [131]

Answer:

The answer is 314

Step-by-step explanation:

You need to do

3.14(pie) times the radius times the height divided by 3

4 0
2 years ago
Read 2 more answers
Help me find three different ratios that are equivalent to 3:11!! I need a explanation too!
SVEN [57.7K]
You can do
3 * 2 and 11 * 2 which would be 6:22 and is still equal to the ratio 3:11. Your explanation can be the when divided by 2 or the number you multiplied by, you would get the original ratio
Examples:
6:22
9:33
12:44
8 0
2 years ago
How do i get a tutor, why isn’t it working??
scoray [572]

Answer: Its little bit hard to become tutor. You need to give more answers.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)
matrenka [14]

Answer:

77%

Step-by-step explanation:

23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)

3 0
2 years ago
Read 2 more answers
Other questions:
  • Solve 4(t+1) = 6 - 1.<br> (A) 2<br> (B) 1<br> (C) O<br> (D) 1]
    8·2 answers
  • What does it mean to solve an equation
    14·2 answers
  • HELP PLEASE NEED IT THANKS
    11·1 answer
  • Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5
    10·1 answer
  • Simplifying 84 - (16 - 8) + 5
    11·2 answers
  • PLEASE HELP FAST Rewrite
    14·1 answer
  • Find the measures of the requested angles.
    15·1 answer
  • Which product is greater than 3/5<br><br> Look at the picture ☺️<br> Pls answer ASAP✨
    12·1 answer
  • Task 7: In the triangle, AC = 10, CB = 7, and YZ = 4. Find the values:
    7·1 answer
  • 30 MORE POINTS FOR THIS
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!