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slamgirl [31]
2 years ago
12

Find the measure of 659 670 In

Mathematics
1 answer:
sineoko [7]2 years ago
3 0
The question doesn’t make sense.
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20 points Return to questionItem 4Item 4 20 points Police records in the town of Saratoga show that 13 percent of the drivers st
Sladkaya [172]

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

8 0
2 years ago
Locate and label each set of points on the coordinate plane. Describe similarities of the ordered pairs in each set,
Leya [2.2K]

Answer:

THX FOR FREE POINT

Step-by-step explanation:

THANK YOU

8 0
3 years ago
Read 2 more answers
Identify and circle all of the factors of<br> 3x2 - 9x + 6
aleksandr82 [10.1K]
I hope it helps you get it right

6 0
3 years ago
Please help me branniest <br><br> Please explain answer
aksik [14]
The answer is c. Because you subtract 5 from 15 because you are dividing (if you were multiplying you would addition)
8 0
3 years ago
Read 2 more answers
Given f(x) = x + 3x + 2 and g(x) = x + 1, perform the indicated operations. In the
nadezda [96]

Answer:  x² + 4x + 3

<u>Step-by-step explanation:</u>

   f(x) = x² + 3x + 2

+  <u>g(x) =          x + 1   </u>

(f+g)(x) = x² + 4x + 3

Note: This answer is based on f(x) having an x² (since the squared is missing from your question).

5 0
2 years ago
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