The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%. Forty adults are to be selected at random from the city. Let Xbe the number in the sample who own a cell phone. Under the assumptions given, the distribution of X is
A. Bin(40,0.65)
B. N(26,14)
C. Bin(40,26)
D. N(40,14)

Answers

Answer 1

Answer:

A. Bin(40,0.65)

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a cell phone, or they do not. The probability of an adult having a cell phone is independent of any other adult having a cell phone. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In function of its parameters, the distribution is written as: Bin(n,p).

The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%

This means that [tex]p = 0.65[/tex]

Forty adults are to be selected at random from the city.

This means that [tex]n = 40[/tex].

Thus, we have Bin(40,0.65), and the correct answer is given by option A.


Related Questions

PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED

Answers

Answer:

- 13

Step-by-step explanation:

[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]

Yea the answer is -13 I just took the test

x = 15, x = 5; (0.75)

Answers

Answer:

12

Step-by-step explanation:

12 is 75 of 15 %^%^%^%^^^___<<<7<

Have a nice day ..........

Me puedes ayudar es para hoy porfavor ​

Answers

Answer:

mira a las base de las figuras y busca cual base matchs con la figuras de la figura prinsipal

Step-by-step explanation:

como el cono va con la del toda la izquierda de la de la mitad

find the value of x in the polygon

Answers

Use the Pythagorean theorem (a^2+b^2+x^2)

x equals to 10.............

5m - 12 = 2m + 6 + 3m

Answers

The answer is 0m= 18 hope it helps!

Pls help I’ll brainlest

Answers

Law of Exponents

→ aᵐ × aⁿ = aᵐ+ⁿ

→ aᵐ ÷ aⁿ = aᵐ-ⁿ

→ (aᵐ)ⁿ = aᵐⁿ

→ aᵐ × bᵐ = (ab)ᵐ

→ a⁰= a¹

→ aᵐ/bᵐ = (a/b)ᵐ

Question's solution

→ 5⁰

→ 1 [a⁰ = 1]

Can anyone help ?

Kim rolls a dice and flips a coin.
a) Calculate the probability that she
gets a 2 and a head.
b) Work out the probability that she
gets an even number and a tail.
What would b be

Answers

Answer:

a) 1 / 12

b) 1 / 4

Step-by-step explanation:

The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.

a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.

To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12

b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.

Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4

Kim got a "40" in a class and I make a 70 on a test. How much does the grade goes up?

Answers

Answer:

30%

Step-by-step explanation:

Subtract 8−2x from 3−6x .

Answer in this format:

Answers

Answer:

[tex]4x + 5[/tex]

Step-by-step explanation:

[tex](8 - 2x) - (3 - 6x)[/tex]

[tex]8 - 2x - 1 \times 3 - (6x)[/tex]

[tex]8 - 2x - 3 + 6x[/tex]

[tex] - 2x + 5 + 6x[/tex]

[tex]4x + 5[/tex]

Hope it is helpful....

In the number 16.73, which number is in the ones place?

Answers

Answer:

6

hope this helps

have a good day :)

Step-by-step explanation:

Tell whether the equation has one, zero, or infinitely many solutions.

4(x − 8) + 9 = 4x − 23

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

4(x-8)+9=4x-23

4x-32+9=4x-23

4x-23=4x-23

infinitely many solutions.

Amanda is 10 years old. She wants to
start saving for college. She saves $450
this year and wants to double her money every year after. Write an equation to model this situation. How much money will she have when she is 18 years old?

Answers

Answer:

7200

Step-by-step explanation:

450 x 2 = 900

900 x 8 =7200

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

12

Step-by-step explanation:

Use the pythagorean theorem ([tex]a^2+b^2=c^2[/tex]). A and b are the two legs of the triangle, and c is ALWAYS the hypotenuse. Plug in the values for a and c

[tex]a^2+b^2=c^2[/tex]

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

Answer:

b = 12m

Step-by-step explanation:

5^2 + b^2 = 13^2

25 + b^2 = 169 --> *subtract 25 form both sides*

b^2 = 144 --> find square root of 144*

b = 12

Marie grew 10 plants with 2 seed packets. How many seed packets does Marie need to have a total of 15 plants in her backyard? Solve using unit rates

Answers

Answer:

he need 3 seeds to plant a 15 plant

I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before

Answers

Answer: 6 pounds

Step-by-step explanation:

Answer:

The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.

Step-by-step explanation:

If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?

Answers

Answer:

000.3

Step-by-step explanation:

The probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin if it is tossed 4 times.

Then the probability of getting exactly 3 tails is:

[tex]=\rm 4 C_3(\frac{1}{2} )^3\times (1-\frac{1}{2} )^1[/tex]

[tex]=\rm 4\times \frac{1}{16}[/tex]

= 1/4

= 0.25

Thus, the probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

There are 4 consecutive integers that sum to 394. What is the least of these integers?​

Answers

Answer: 97

Step-by-step explanation:

394 / 4 = 98.5, so the 4 numbers must be around 98.5.

97 + 98 + 99 + 100 = 394

A washer and dryer cost $1000 combined. The of the washer is three times the cost of the dryer. What is the cost of the dryer?

Answers

Let “x” represent the cost of the dryer in dollars
The washer costs 3x dollars

3x + x = 1000
4x = 1000
x = 250

The dryer is $250

In Mr Bunnelo's class, 19 out of 26 students wore their school shirt on Friday. If the school has a
population of 2,462 students, approximately how many students at the school wore their school shirt
on Friday?


95 students
130 students
O
663 students
1,799 students

Answers

the answer is 1799 students

A coffee cup keeps coffee at 175 degrees for 2 hours each quarter hour after that the coffee loses 15 degrees of warmth what will the temperature of the coffee be after 4 hours who ever actually helps get brainliest and random answers will be reported.​

Answers

Answer:

I believe the answer is 55 degrees.

Plz don't report me if i'm wrong.

Step-by-step explanation:

The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

i think this question answer is 734.76cm^3

what is the value of x ?

Answers

Answer:

x = 19

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees

Thus, x + 14 + 3x = 90

               ^This is the equation we will use to solve for x

x + 14 + 3x = 90

step 1 combine like terms

x + 3x = 4x

we now have 4x + 14 = 90

step 2 subtract 14 from each side

90 - 14 = 76

14 - 14 cancels out

we now have 76 = 4x

step 3 divide each side by 4

4x / 4 = x

76 / 4 = 19

we're left with x = 19

The surface area of the world is about 7/10 water. If a very small, non-dangerous meteoroid lands on the earth, what is the probability it does NOT land in the water?

Answers

Answer: 3/10 probability

Step-by-step explanation:

We are telling the probability with tenths, so we can say that the probability of the meteoroid landing on Earth is 3/10.

If the surface area of the world is approximately 7/10, or 70 percent, water, there is approximately 3/10, or 30 percent, chance of the meteoroid hitting land.

I'm pretty sure, at least ^_^

3/10I answered this on my test

The angle of elevation to the top of the Empire State Building in New York is found to be 11° from the ground at a distance of 5281 feet from the base of the building. Using this information, find the height of the Empire State Building in feet. Use the dimensions given in the diagram to give an equation and solve. Round two decimal places.

Answers

Answer:

The height of the building is of 1026.52 feet.

Step-by-step explanation:

This situation is modeled by a right triangle, in which the length of the opposite side to the angle of 11º is the height of the building, while the length of the adjacent side is of 5281 feet.

Tangent:

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

In this question:

[tex]\tan{(11)} = \frac{x}{5281}[/tex]

[tex]x = 5281*\tan{(11)}[/tex]

Using a calculator, we have that the tangent of 11 degrees is: 0.1944. Thus:

[tex]x = 5281*\tan{(11)} = 5281*0.1944 = 1026.52[/tex]

The height of the building is of 1026.52 feet.

How are these triangles congruent ?
- HL
- AAA
- ASA

Answers

ASA..........................

I WILL GIVE YOU BRAINLIEST AND THIS ANSWER IS WORTH 30 POINTS!

1. |18-x|, if x<18.
2.|x-5|,if x<5
3. |x-18|, if x<18

Answers

Answer: the answer is  |x-5,if x<5|

Step-by-step explanation:

Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?

Question 17 options:

30x larger


3x larger


10x larger


27x larger

Answers

Answer:

3x

Step-by-step explanation:

HAVE A NICE DAY
WILL GIVE BRAINLST :)

Answers

Answer:

Corresponding angles...

1 and 5

2 and 6

3 and 7

4 and 8

Alternate Interior Angles

3 and 6

4 and 5

Alternate Exterior angles

1 and 8

2 and 7

Can somebody help me seriously

Answers

Answer: b

Step-by-step explanation:

I don't know but i am right

help please i dont understand will mark brainlyist

Answers

It’s 16 because if u multiple each by 16 then it’s true/ right

Answer:

Its D

Step-by-step explanation:

Its D because each one is multiplied by 16

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