Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250. Based on these probabilities, determine the probability, , that a randomly chosen person from this country plays baseball. Give your answer as a decimal precise to at least three decimal places.

Question

04-06-2019
Mathematics

contestada

Suppose that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250. Based on these probabilities, determine the probability, , that a randomly chosen person from this country plays baseball. Give your answer as a decimal precise to at least three decimal places.

Respuesta :

Otras preguntas

Homeostasis refers to A. the tendency of a cell to maintain a stable internal environment B. the similarity of genetic traits to one another. C. a mixture or so

Question 1 Unsaved How did Thomas Jefferson’s Louisiana Purchase benefit the United States? Question 1 options: It created a barrier between the states and the

Principal: $750,00; annual interest rate: 5 percent. What is the interest after 6 months?

How much data is needed to have a representative sample of the population? 10 to 20 items. At least 100 items. All of the population. It depends on the size o

increase or decrease 32 pages to 28 Pages round to the nearest tenth of a percent

between which pair of numbers is the exact product of 379 and 8

From his Gospel, how do you know Luke was interested in sickness and sick people? A. Luke only talked about the healing miracles that Jesus did. B. Luke spent

when identifying an igneous rock, its chemical composition can be determined by its color. light-colored igneous rock being high in ________ while dark-colored

Who invented the skateboard

△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) . Which statement correctly describes the relationship between △ABC and △A′B

JeanaShupp JeanaShupp · Answer 1 · 2019-10-04T08:13:31+02:00

Answer: 0.068

Step-by-step explanation:

Let we denote event A for choosing a left-handed player and event B for choosing a baseball player.

Given : The probability that a randomly chosen person is a left-handed baseball player : [tex]P(A\cap B)=0.017[/tex]

The conditional probability that a randomly chosen baseball player is left-handed :

[tex]P(A|B)=0.250[/tex]

Using the formula for conditional probability:-

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}\\\\\Rightarrow\ P(B)=\dfrac{P(A\cap B)}{P(A|B)}[/tex]

i.e. the probability, , that a randomly chosen person from this country plays baseball will be :

[tex]P(B)=\dfrac{0.017}{0.250}=0.068[/tex]

Hence, the required probability : 0.068

francocanacari francocanacari · Answer 2 · 2021-09-03T23:37:04+02:00

The probability that a randomly chosen person from this country plays baseball is 0.068.

Given that in a particular country, the probability that a randomly chosen person is a left-handed baseball player is 0.017 and the probability that a randomly chosen baseball player is left-handed is 0.250, to determine, based on these probabilities, the probability that a randomly chosen person from this country plays baseball the following calculation must be performed:

Given that 0.250, that is, 25% of the country's baseball players are left-handed, we can say that 1/4 of the players have this ability.

So, given that 1/4 of the players represent a probability of 0.017, to determine the probability that a randomly chosen person from this country plays baseball, the following cross multiplication must be considered:

25 = 0.017
100 = X
100 x 0.017 / 25 = X
1.7 / 25 = X
0.068 = X

Therefore, the probability that a randomly chosen person from this country plays baseball is 0.068.

Learn more in https://brainly.com/question/21807095