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Sati [7]
3 years ago
8

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

he color red. If 20 buyers are randomly selected, what is the probability that exactly 15 buyers would prefer red? Round your answer to four decimal places.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
7 0

Answer:

Probability that exactly 15 buyers out of 20 will prefer red is 0.0148.

Step-by-step explanation:

This problem has binomial probability distribution.

So probability of success ( population preferring Red colour) i.e.  p = 50% = 0.5

therefore probability of failure ( population preferring  other colors ) i.e. q = 1 - p = 1 - 0.5 = 0.5

20 buyers are selected at random, therefore n = 20.

We need to find the probability that exactly 15 buyers would prefer red and so r = 15 and it is given by,

P( X = r ) = n_C_r \times p^{r}\times q^{n-r}

So, P ( X = 15 ) =  {20}_C_{15} \times 0.5^{15}\times 0.5^{20-15} = {20}_C_{15} \times 0.5^{15}\times 0.5^{5} = 0.0148

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Temka [501]
To solve this answer, you are trying to find 55% of 600, because that is the number of people who chose plastic bag.

55% can be re-written as 55/100 OR 0.55 since percentages are always out of 100.

So, we do 0.55*600, which gives us 330. 330 people carry plastic bags.
4 0
3 years ago
Choose the correct proportions.
cestrela7 [59]

Answer:

Options A, B and C are CORRECT PROPORTIONS

Step-by-step explanation:

Option A

3:5 = 6:10

The LHS must equal the RHS

3:5 is in it's lowest term.

6/10 will be in it's lowest term by dividing the numerator and denominator by 2.

6/10 = 3/5

Option B

3/6 and 5/10.

Diving 3/6 fractions by 3

= 1/2

Dividing 5/10 fraction by 5

= 1/2

Option C

Dividing 6/3 by 3 = 2

Dividing 10/5 by 5 = 2

Thats how you work through equivalent proportional fractions

6 0
3 years ago
What is the value of x? Enter your answer in the box. Ft Triangle V T K with segment T Y such that Y is on segment V K, between
Yanka [14]

Answer:

x=47 feet

Step-by-step explanation:

Since angle VTY is congruent to angle VTK, segment TY bisects angle VTK. Since Y is on segment VK, between V and K, we can use the Angle Bisector Theorem, which states that:

\frac{VY}{YK}=\frac{VT}{TK}

\frac{22}{YK}=\frac{77}{87.5}

YK=\frac{22{\times}87.5}{77}

YK=25 feet

Now, X=VY+YK

Substituting the values, we get

X=22+25

X=47 feet

6 0
3 years ago
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Fiandnd product 3/4 x 1 ,1/2
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3/4 times 1 1/2 = 1 1/8

Hope this helps!
7 0
3 years ago
A cab company charges $3 per cab ride, plus an additional $1 per mile driven. How long is a cab ride that costs $13?
Nadusha1986 [10]

Answer:

10 miles

Step-by-step explanation:

3+1x=13

Minus 3 from both sides.

3-3+1x=13-3

1x=10

Then divide both sides by 1.

1x/1=10/1

x=10

7 0
3 years ago
Read 2 more answers
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