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
Sedaia [141]
3 years ago
11

20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st

opped for speeding have invalid licenses. If 14 drivers are stopped for speeding, find the probabilities that (a) None will have an invalid license. (Round your answer to 4 decimal places.) Probability .13 .13 Incorrect (b) Exactly one will have an invalid license. (Round your answer to 4 decimal places.) Probability Not attempted (c) At least 2 will have invalid licenses. (Round your answer to 4 decimal places.) Probability Not attempted
Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Answer:

a) 0.1423

b) 0.2977

c) 0.56

Step-by-step explanation:

For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.

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 this problem we have that:

13 percent of the drivers stopped for speeding have invalid licenses.

This means that p = 0.13

14 drivers are stopped

This means that n = 14

(a) None will have an invalid license.

This is P(X = 0)

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

P(X = 0) = C_{14,0}.(0.13)^{0}.(0.87)^{14} = 0.1423

(b) Exactly one will have an invalid license.

This is P(X = 1)

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

P(X = 1) = C_{14,1}.(0.13)^{1}.(0.87)^{13} = 0.2977

(c) At least 2 will have invalid licenses.

Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.1423 + 0.2977 = 0.44

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.44 = 0.56

You might be interested in
Pls help, I really need this answer!!!!
podryga [215]
If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4

59.4 x 8= 475.2

Therefore the total area for the octagon should be 475.2 units^2

Hope this helps !

5 0
2 years ago
The table and the graph below each show a different relationship between the same two variables, x and y:
olga2289 [7]

The value of y will be 60 so the correct answer is option C.

<h3>What is a graph?</h3>

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

There is a linear relationship between the two variables x and y. For the given data in the table as well as in the graph. The expression for the two variables will be written in the form of an equation as follows:-

The expression for the data in the table:-

y = 25 x now at x = 12

y = 25 x 12 = 300

The expression for the values in the graph:-

y  = 30x at x = 12

y  = 30 x 12

Y = 360

How much more would the value of y be on the graph will be calculated as:-

Value  = 360 - 300

Value = 60

Therefore the value of y will be 60 so the correct answer is option C.

To know more about graphs follow

brainly.com/question/25020119

#SPJ1

5 0
1 year ago
Find the means of these numbers 3,7,2,9,4,7,3,7,5,2
Sholpan [36]

The "mean" of a group of numbers is also called their "average".

To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.

Step #1:  Addum up:  3+7+2+9+4+7+3+7+5+2 = 49

Step #2:  Count the number of items on the list:  I count 10 .

Step #3:  Divide the sum by the number of items on the list.

                 49 / 10  =  4.9

The mean (average) of the numbers on that list is  4.9 .

6 0
3 years ago
Read 2 more answers
PLEASE HELP WILL GIVE POINTS PLEEEEASE!!!!!!!!!!!!!!
mixer [17]

Answer:

b=-2

Step-by-step explanation:

3√-8 = -2

-2^3 = -8

8 0
3 years ago
. How much money will the CD be worth when Damon turns 18 years old?
azamat

Answer:

You don't have a picture attached... we can't answer the question unless you do

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is an equation of the line that passes through the point (5, 4) and is parallel to
    6·1 answer
  • Simplify using long division
    13·2 answers
  • Cle O has a circumference of 36 cm.
    8·1 answer
  • A baseball team has won 16 of its first 27 games.At the rate, how many games will it win in a 162 game schedule
    7·2 answers
  • Solve.<br><br> 9.4 = - t/3.5<br><br> t =
    14·1 answer
  • If a test is 150 questions how many answers can you get wrong to still get an 80%
    15·1 answer
  • This is a pattern where the terms are related by addition and subtraction. A fixed number is added or subtracted between each te
    6·1 answer
  • <img src="https://tex.z-dn.net/?f=12%28m%20%2B%203x%29%20%3D%2018%28x%20-%203m%29" id="TexFormula1" title="12(m + 3x) = 18(x - 3
    7·1 answer
  • I NEED HELP WITH THIS ASAP!
    11·1 answer
  • Solve please and thank you
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!