A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.

Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

A 0.09

B 0.19

C 0.28

D 0.72

E 0.91

Answer:

Option C: 0.28

Step-by-step explanation:

This is a binomial probability distribution problem.

Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

From the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

From the histogram, it is found that there is a 0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.

------------------

The probabilities given by the histogram are:

[tex]P(X = 0) = 0.33[/tex]

[tex]P(X = 1) = 0.39[/tex]

[tex]P(X = 2) = 0.19[/tex]

[tex]P(X = 3) = 0.05[/tex]

[tex]P(X = 4) = 0.02[/tex]

[tex]P(X = 5) = 0.02[/tex]

The probability of at least 2 up is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.019 + 0.05 + 0.02 + 0.02 = 0.28[/tex]

0.28 = 28% probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed, option C.

A similar problem is given at https://brainly.com/question/24141790

f(x)=4x^2+2x+6
What is the value of the discriminant of f?
How many distinct real number zeros does f have ?

Please help someone I’m miserable I’ll pay Lol

15+9/2 leave your answer in fraction​

Need help will mark Brainliest

how do i ask the community?​

Helpppp


A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.

what is 8 divided by 8 with a multitude of 53 degree angles

Solve for x: (5 points)

negative 4 over 3, multiplied by x minus 6 equals negative 26

a
−27

b
−15

c
15

d
27

What’s the constant term for 7k-8k=

Find the slope of a line that passes through the given two points
(2,4) and (3,6).

1+9 help me now plssssss

Write a proportion for the situation. Then solve.

One recipe for banana bread says to use 2 cups of honey to make 3 banana breads. How much honey is needed to make 12 banana breads?

/3
9. At the bowling alley, Angela rented shoes for $3 and it cost her $2.50 to bowl each game.
a) State an equation that represents the cost of bowling in the form C = mx + b, where C is the total
cost and x is the number of games bowled.
b) How much did it cost her to bowl four games?​

Find the next term of the following sequence. 25,10,4

Please help me I’m really dumb

which expression is equivalent to 2n+n-0.65n

3n-0.65
3n - 0.35
2.65n
2.35n​

c - 3/4 = 1/8
Please answer

If you have a math equation with an addition symbol in the middle (such as -8 + 4), what are the rules for determining whether to add or subtract?

Is 1 and 2/3 equal to 3divided by5

Find the value of X.

Can someone answer number 1? It’s a picture on top

A 4 quart container of window cleaner costs $12.48. What is the price per cup?

You bought a game system tor 120 and sold
it for $150. What is the percent increase?

2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?

Show work

Bonita and Vince are jogging to school 2.5 miles west of

Vinces' house. It takes

them 15 minutes to arrive. As soon as they got there Boneta needed to run east

5 miles to the discount store for personal supplies. This took her 5 minutes. She

then slowly walks back to school, which takes her another 10 minutes

What is the average velocity in miles/min for Bonita for the entire trip?

Show how you convert this to mis? Show your setup and answer.

What is her average speed in miles/min?

- Show how you convert the average speed to mis. Show your set up and answer.

Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

(HELP 50 POINTS)
In the figure above, point O is located at the centroid of triangle ABC. What is the combined lengths of segments DO and BO?
Select one:
A. 22
B. 25
C. 26
D. 29

How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions

Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?

Which of the following expressions represents the solution to -2 x ≤ -10?
x ≥ -5
x ≤ 5
x ≥ 5
x ≤ -5
WILL GIVE BRAINLIEST.