Ask question

Ask question

All categories

4 years ago

12

A two-way frequency table is shown below displaying the relationship between age and preferred cola beverage. We took a sample o

f 100 people and recorded the following results:
Cola Rootbeer Dr. Fizz TOTAL
10-25 10 5 20 35
26-40 15 10 10 35
41-55 20 10 0 30
TOTAL 45 25 30 100

What is the probability (rounded to the nearest whole percent) that a randomly selected person is 41-55 in age or prefers drinking Dr. Fizz?

55%

35%

60%

0%

1 answer:

Mademuasel [1]4 years ago

8 0

Answer:

60%

Step-by-step explanation:

The table with proper formatting is attached below.

We have to find the probability that a randomly selected person is 41-55 in age or prefers drinking Dr. Fizz.

Total number of people = 100

People in range 41 - 55 = 30

People who prefer Dr. Fizz = 30

People in range of 41 - 55 and prefer Dr. Fizz = 0

The general formula of probability in case of OR of two events is:

P ( A or B ) = P(A) + P(B) - P( A and B)

So for the given case we can write:

P (Person is in 41-55 range OR prefer Dr. Fizz) = P (Person is in 41 - 55 range) + P(Prefers Dr. Fizz) - P(Is in 41-55 range And prefers Dr. Fizz)

P (Person is in 41-55 range OR prefer Dr. Fizz) = 30/100 + 30/100 - 0/100

= 60/100

= 60%

Thus there is a 60% probability that a randomly selected person is 41-55 in age or prefers drinking Dr. Fizz

You might be interested in

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

Licemer1 [7]

Answer:

A. y = x^2 -6x + 13

Step-by-step explanation:

The parabola that opens up and has line of symmetry x=3 and a minimum at x=3 is

$y=x^2-6x+13$

The reason is that, we can write this function in the vertex form to get;

$y=x^2-6x+(-3)^2+13-(-3)^2$

$y=(x-3)^2+13-9$

$y=(x-3)^2+4$

Hence the line of symmetry is x=3 and the vertex is (3,4)

8 0

3 years ago

Read 2 more answers

What is the relationship between a and b?

noname [10]

Answer:

A

Step-by-step explanation:

7 0

2 years ago

The difference of two numbers is 16. The greater number is 5 less than 4 times the smaller

Mandarinka [93]

Answer:

x= 23

y=7

Step-by-step explanation:

x-y=16

4y-5=x

4y-5-y=16

3y-5=16 add 5 to both sides

3y=21 divide by 3 on both sides

y=7

x-7=16 substitute back in

x=23 added 7 to both sides

so x=23 and y=7

23-7=16

7 0

3 years ago

Read 2 more answers

Find the product .-2 [7 -4 0]

Makovka662 [10]

It says find the product, so that means multiplication
-2[7 -4 0] = [-14 8 0] solving: [-14 8 0] [-3 0 5]
[42+0+70 -24+0+40 0+0+0]
[-14 8 0] * [-3 0 5] = [112 0 -30] = [112 16 0]
[112 16 0]*[6 2 1]
[112 0 -30]* [6 2 1] = [1008 114 0] [672+224+112 96+32+16 +0]
=[1008 114 0].

4 0

3 years ago

Find the sum \[\sum_{k = 1}^{2004} \frac{1}{1 + \tan^2 (\frac{k \pi}{2 \cdot 2005})}.\]

vampirchik [111]

Answer:1002

Step-by-step explanation:

$\Rightarrow \sum_{k=1}^{2004}\left ( \frac{1}{1+\tan ^2\left ( \frac{k\pi }{2\cdot 2005}\right )}\right )$

and $1+\tan ^2\theta =\sec^2\theta$

and $\cos \theta =\frac{1}{\sec \theta }$

$\Rightarrow \sum_{k=1}^{2004}\left ( \cos^2\frac{k\pi }{2\cdot 2005}\right )$

as $\cos ^2\theta =\cos ^2(\pi -\theta )$

Applying this we get

$\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]$

every $\theta$ there exist $\pi -\theta$

such that $\sin^2\theta +\cos^2\theta =1$

therefore

$\Rightarrow \sum_{1}^{1002}\left [ \cos^2\left ( \frac{k\pi }{2\cdot 2005}\right )+\cos^2\left ( \frac{(2005-k)\pi }{2\cdot 2005}\right )\right ]=1002$

6 0

3 years ago