Statistics and Probability Answers

Evelynn challenged Ahri and Kai'Sa to play a series of matches of darts. (with Akali eating her ramen and Seraphine being excited).

Here are the probabilities of each woman winning:

Kai'Sa: 50%; Evelynn: 30%; Ahri: 20%

If they play 6 games, Seraphine calculated that the probability of Ahri will win 1 game, Evelynn will win 2 games, and Kai'Sa will win 3 games is around Blank 1. (The probability is in decimal format with 4 decimal places.)

Akali is thoroughly impressed with Seraphine's arithmetic capabilities and decides to cook her some ramen as well.

Mention explain mathematically and illustrate/show/draw/copy and paste a cultural artefact where reflection is used to develop the pattern or artistic effect.

In a survey, one-half of Demacia's universities give their employees 4 weeks of vacation after they have been with the company for 15 years. Find the probability that among 6 companies surveyed at random, the number that give employees that said benefit is,

a) anywhere from 2 to 5

b) fewer than 3

answers must be in decimal format and must have four decimal places.

a) P(2 ≤ X ≤ 5) = Blank 1

b) P(X < 3) = Blank 2

80% of the people who purchase ramen from Angeline are women

Answer the following in percent format (4 decimal places each).

If 9 of these customers are randomly selected, then the probability that all of them are women is Blank 1%.

If 10 of these customers are randomly selected, then the probability that there are at least 7 women is Blank 2%

If P(A) = 0.82, P(D) = 0.83, and P(D∩A) = 0.78, then P(A|D') is Blank 1 and P(D|A) is Blank 2.

4 Decimal Places

Rey works in a semiconductor company where he is tasked to manage semiconductor fabrication. He deduced that for every 100 semiconductors, 5 of which are defective. After considering all scenarios, he made the necessary steps to improve the process.

During a site visit, what would be the probability that none of them are defective if the checker selects 3 semiconductors to be tested?

Answer in percentage form and use four decimal places

Mareena rolled a fair die twice. The result of the first roll is X₁ and the result of the second roll is X₂.

If X₁ + X₂ = 7, then the probability that X₁ = 4 or X₂ = 4 is around _____

4 Decimal Places

Direction: Find the appropriate rejection region in each case. (Show your complete solution.)

1. Ha: µ > µo, α= 0.05

2. Ha: µ < µo, α= 0.05

3. A right-tailed test at 10% level of significance

4. A left-tailed test at 10% level of significance

5. A two-tailed test at 10% level of significance

The number of lost bags per flight at Ango Airport follows a Poisson 

distribution with µ = 0.4.

a. Specify the Poisson distribution for lost bags per flight.

b. What is the probability that no bags will be lost in a randomly 

selected flight? 

c. What is the probability that at least 2 bags will be lost in a randomly 

selected flight? 

population contains 8 items and 2 items are selected random without replacement then all possible sample will be