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andreyandreev [35.5K]
3 years ago
15

Use the data in the following table, which summarizes results from 179 pedestrian deaths that were caused by accidents. If two d

ifferent deaths are randomly selected without replacement, find the probability that they both involved intoxicated driver.
Pedestrian Intoxicated
Yes No
Driver Yes 96 40
Intoxicated No 31 12
Mathematics
1 answer:
sergey [27]3 years ago
3 0

Total pedestrian deaths = 179

Total number of deaths that involved intoxicated driver = 96 + 40 = 136

Two accidents are randomly selected without replacement, thus;

Probability = desired outcome / total number of outcome

<span>Probability = (136/179) x (135/178) = 0.7597x0.7584 = 0.5761</span>

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bulgar [2K]
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
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=0.027

(c) x &ge; 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
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=0.027+0.001
=0.028


8 0
3 years ago
Write an equation in slope intercept form for the graph below
labwork [276]

Answer:

y = 10x

Step-by-step explanation:

Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10

y-intercept (b) is 0. The line intercepts the y-axis at 0. Thus, b = 0.

Substitute m = 10 and b = 0 in y = mx + b

The equation in slope-intercept form for the graph would be:

✅y = 1x + 0

y = 10x

8 0
3 years ago
At a small college of the students live on campus. There are 14 students in a Biology class. What is the probability that 10 of
Svetllana [295]

Answer:

10/14

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Please help me with the answer, ive been stuck on getting both answers for a while now ty
Anettt [7]

Answer:

3x + x - 17 + 13 = 116 \\ 4x = 120 \\ x = 30 \\ g = 73 \\ h = 43

8 0
3 years ago
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
NARA [144]

Answer: The net change would be -2.

Step-by-step explanation: The upward change of elevator is represented by positive sign while the downward change represented by negative sign.

Given, First the elevator goes up 15 floors, change = + 15, Then it goes 9 floors down, change = -9, Then it goes 11 floors up,Change = + 11, Finally, it goes 19 floor down, Change = - 19 So, the net change = sum of total changes = 15 - 9 + 11 - 19 = -2

your welcome!

6 0
2 years ago
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