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
AlekseyPX
3 years ago
5

according to insurance records a car with a certain protection system will be recovered 89 percent of the time. If 300 stolen ca

rs are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.

Step-by-step explanation:

For each stolen car, there are only two possible outcomes. Either it is recovered, or it is not. The probability of a stolen car being recovered is independent of other stolen cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 300, p = 0.89

So

E(X) = np = 300*0.89 = 267

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.89*0.11} = 5.42

The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.

You might be interested in
The metro theather has 20 rows of seats with 18 seats in each rowk. tickets cost $5 The theater's incone in dollars if all seats
yarga [219]

your answer would be 1800


3 0
3 years ago
Darel went to the mall and spent $41. He bought several t-shirts that ach cost
Ghella [55]

Answer:

3

Step-by-step explanation:

12x+5(1)=41

12x=-5+41

12x=36

x=36/12

x=3

12(3)+5(1)=

36+5=41

7 0
3 years ago
I know how to do this but i dont have time so like give me the answer thanks
sertanlavr [38]
The final answer is 175
7 0
3 years ago
Read 2 more answers
How do I find the missing sides in the triangle?
irinina [24]

Answer:

x=14   y=10

Step-by-step explanation:

4 0
2 years ago
Which Fraction in this place is less than 1/2?
saveliy_v [14]
Is there soups are to be a picture
5 0
2 years ago
Other questions:
  • 5r^2-38r-16 i must factor by grouping but im very lost
    11·1 answer
  • Prime factorization of 8227
    5·1 answer
  • Does 4 time 9.99 give me 39.96?
    5·2 answers
  • Crediting an account with a gift card of $60 positive or negative $60
    12·1 answer
  • 36 points PLZ HELP Solve for x in terms of y if\[4x + 2y = 7.\]
    12·1 answer
  • #1. Find the circumference of the following circle: *
    14·1 answer
  • Find the surface area​
    6·1 answer
  • Select the correct answer
    5·2 answers
  • The area of a circle is 100 pie. What is the radius?<br> A 25<br> B) 10<br> C 50<br> D) 5
    5·1 answer
  • What is the area of this trapezoid? Enter your answer in the box. <br><br>​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!