There are 5 E's among the 12 tiles in Scrabble. What is the probability of selecting all 3 E's when selecting 3 tiles?

Q: Find the probability for the experiment of drawing two marbles at random(without replacement) from a…

A:

Q: Suppose a basketball player makes 56.1% of shots and that the probabilty of making each shot is…

A:

Q: About 8% of males are colorblind. Researcher needs the colorblind men for an experiment. What is the…

A: Given, n=9 p=8%=0.08

Q: A six-sided biased die is weighted in such a way that the probability of obtaining a "six" is 10 The…

A:

Q: Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected…

A: Given: p=0.4n=8

Q: A link in a metal chain has 0.003 probability of braking under the load of 50 kg. what is the…

A: A link in a metal chain has 0.003 probability of braking under the load of 50 kg.

Q: Assume that each of your calls to a popular radio station has a probability of 0.5 of connecting,…

A: we have to find given probability.

Q: A fair die is rolled three times. What is the probability of obtaining at least 2 6's?

A: We know that when we toss a fair coin then the probability that getting any number is 1/6.Total…

Q: How do I find the z-score that corresponds to a cumulative probability of​ 0.975 using excel?

A: The normal distribution:A continuous random variable X is said to follow normal distribution with…

Q: A company manufactures calculators in batches of 64 and there is a 4% rate of defects. Find the…

A: Givensample size(n)=64p=0.04Let "x" be the no.of defects in a batchx~Binomial(n=64 ,…

Q: A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A: The number of trials x required to get total r number of successful trial is the negative binomial…

Q: Find the probability for the experiment of drawing two marbles at random (without replacement) from…

A: Given Information Two marbles of different colour needs to be drawn without replacement. We have 4…

Q: Suppose two dice are rolled 3000 times and the sum of 11 occurs 120 times. What is the empirical…

A: Let A be the event such that sum on the dice is 11 Here we will use the formula Empirical…

Q: #02.  The top web browser in 2015 was Chrome with 51.74% of the market. In a random sample of 250…

A: Population proportion = 0.5174 Sample proportion = 110/250 = 0.44

Q: Josh has a weighted coin with Pr[H]=0.65 If he flips this coin four times, what is the probability…

A: *answer:

Q: If 2 of 20 tires are defective and 6 them are randomly chosen for inspection. What is the…

A: GivenTotal no.of tires(N)=20No.of tires are chosen(n)=6No.of tires are…

Q: The overall defect rate in making an electronic device is also 5%. What is the probability that more…

A: Given information: Let X be the number of defects detected in an electronic device. Then X is a…

Q: A four colour equal segment spinner was spun 14 times. What is the probability of spinning Yellow…

A: We have given that A four colour equal segment spinner was spun 14 times. Probability of each colour…

Q: A box contains 5 green balls and 4 red balls. The probability of selecting 2 green balls and 1 red…

A: Given: box contains 5 green and 4 red balls  3 balls are drawn without replacement then the…

Q: A coin is biased in such a way that a head is twice as likely to occur compared to a tail. What is…

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Q: Using Independent vs. Dependent multiplication rule: It has been estimated that 21% of Americans…

A: Given Data: Let X represent the random variable n=3 p=0.21   X~ Binomial (3, 0.21)

Q: Recently, the top web browser had 57.41% of the market. In a random sample of 200 people, what is…

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Q: It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find…

A: Given that, n = 60 , p = 0.48 The mean and Standard deviation of the sampling distribution of…

Q: 66% of kids are worried about going back to school. In a random sample of 75 kids, what is the…

A: Here we need to find the required probability using binomial distribution.

Q: In a large population, 59%6 are infected with a certain disease. If you take a random sample of 30,…

A: Given,n=30p=0.59Let x=no.of people infected with certain disease.x~Binomial(n=30 , p=0.59)P(X=x)=Cx…

Q: Assume that when adults with smartphones are randomly selected, 39%use them in meetings or classes.…

A: Let us assume X= the number of persons who uses smartphones in meetings or classes n= number of…

Q: The number of buses pass by on the street in any 30 seconds interval under specified conditions…

A:

Q: the indicated probability. Round to the nearest thousandth. 3) A sample of 4 different calculators…

A: Given : A sample of 4 different calculators is randomly selected from a group containing 16 that are…

Q: The average number of calls received by a switchboard in a 30-minute period is 18.

A: It is given that the average number of call received by a switchboard in a 30 minutes periods is 18.…

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given that, proportion, p= 54%  p= 0.54 We selected 5 people so sample size is n= 5 Hence random…

Q: 8. Find the probability of getting a total score of 15 points in a throw of three identical dice.

A: To find the probability of getting a total score of 15 points in a throw of three identical dice.

Q: 2.)  When adults with smartphones are randomly selected, it was found that 54% of them use their…

A: Given p=0.54, n=20 X : Number of adults who their phones in meetings.

Q: Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red; two marbles are picked at…

A: Answer - Suppose a bowl contains 5 marbles, of which 3 are white and 2 are red.                Two…

Q: Which event has a greater probability to occur: winning the Power Ball Lottery or getting the sum 1…

A: When a pair of dice is rolled, there occurs no event such that “getting a sum of 1”. Thus, the…

Q: A committee of size 5 is to be selected at random from 3 women and 5 men. Find the probability…

A:

Q: A company that manufactures toothpaste is studying five different package designs. Assuming that…

A: Equally likely: The sample points are said to be equally likely, if all the sample points have equal…

Q: Find the indicated probability.   A bin contains 64 light bulbs of which 10 are defective. If 5…

A: It is an important part of statistics. It is widely used.

Q: 62% of Armenian students own a personal computer. What is the probability that the proportion of…

A: the pdf of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: estimate the probability of getting an offspring pea that is green. Is the result reasonably close…

A: In a genetics experiment on ​peas, one sample of offspring contained 436 green peas and 373 yellow…

Q: Find the probability of throwing a sum of 8 at least 2 times in 8 throws of a pair of fair 6-sided…

A: We have the  statement about  two dice Sample space =  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)…

Q: Suppose a factory has a 70% rate of producing a products without defects. 8 products are randomly…

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Q: A book of 500 pages, 350 typos were found. Find the probability that in a random sample of 5 pages…

A: Its Poisson distribution

Q: Find the chances that at least two people in our class (n=66) have the same birthday (MM/DD)?

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Q: The records of an Italian shoe manufacturer show that 10% of shoes made are defective. Assuming…

A:

Q: Assume that when silts with smartphones are randomly selected 37% use them in meetings or class. IF…

A: From the provided information, Sample size (n) = 6 37% of adults use smartphones in meetings or…

Q: If someone picks 5 cards randomly from a deck of 52 cards, what is the probability that all of the…

A:

Q: Suppose that one third of the new buildings in Centra City are in violation of the building code. If…

A: Let us denote X=the number of building that violate of the building coden=sample size=5p=probability…

Q: If 8 adults are randomly selected, the probability that exactly 2 of them do not require a vision…

A: here use binomial distribution Each trial is independent Finite number of trial There are two…

Q: An accounting firm has found that 8 out of 12 companies audited contain minor errors in their books.…

A: Given: Number of companies (n) = 12 Number of companies contain minor errors (x) = 8

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.