Faiza took part in an MCQ based test related to "Probability and Statistics". She had not prepared for the test and ended up in guessing the answer for each of the MCQ. The test had total of 10 MCQS. Each MCQ had 5 possible answers for selection. After the test, she is interested to calculate the probability of getting exactly 6 questions correct on this test?

Q: It is a probability question In District A, 50% of children started primary school, and 70% of the…

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Q: SAT test has 10 multiple choice questions with four choices with one correct answer each. if you…

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Q: At a local college, 276 of the male students are smokers and 414 are non- smokers. Of the female…

A: The probability that both are non-smokers is obtained below: From the given information, The number…

Q: If the student has 2 alarm clocks and they have a 13.4% failure rate, what is the probability that…

A: The failure rate of the alarm clock is 0.134.

Q: Just before a referendum on a school budget, a local newspaper polls 375 voters to predict whether…

A: Given that  The local news paper polls 375  voters to predict whether the budget will pass. Suppose…

Q: A quiz has 10 multiple choice questions. Each has 4-options, so a 25% chance of guessing correctly.…

A: Consider X be a random variable which follows binomial distribution indicates the number of correct…

Q: Allen, an NBA player who is now retired, had 0.8 probability of scoring a three point throw. If he…

A: From the provided information, The probability of scoring a three-point throw (p) = 0.8 Sample size…

Q: A jar contains 10 red marbles, 18 blue marbles, and 12 white marbles. Which multiplication will help…

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Q: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: At a local college, 175 of the male students are smokers and 525 are non-smokers. Of the female…

A: Given information- We have given data of a local college of smokers and non-smokers in male and…

Q: Suppose the budget has the support of 54​% of the voters. What is the probability that the​…

A: The proportion of population in support follows normal distribution with mean 0.53 and standard…

Q: An archer has a %25 chance of hitting the bullseye on the target. What is the probability that the…

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Q: How do I calculate the probability of having 4 successes or less in 10 trials, when the probability…

A: Given: Probability of success (p)= 0.25 Number of trials (n)=10 Consider X be the random variable…

Q: A math teacher chooses   8    students at random from a class of   38  to solve a problem at the…

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Q: Just before a referendum on a school budget, a local newspaper polls 412 voters to predict whether…

A:

Q: A mail order company has an 8% success rate. If it mails advertisements to 600 people, find the…

A: Given that the success rate is 8%. That is, p=0.08 The sample size is 600. That is, n=600 Here, the…

Q: Without loqking, Melissa picked one marble out of a bag containing only 1 white, 1 yellow, 1 blue,…

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Q: A multiple-choice test has 50 questions, each question having 4 parts. There is one correct answer…

A: Here, the Continuity correction concept is used.

Q: There are 28 students in a class taking a test. What is the chance you can guess correctly who is…

A: Given information: It is given that there are 28 students in the class taking the test.

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: Jack is going to guess at ten multiple-choice questions.  Assume that he has a 20% chance of…

A: Correctly guessing the question have probability equal to 0.2  Total number of questions 10 Let X is…

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: What is the probability of getting a number that is less than 8? *

A: In the given spin there are 7 outcomes, out of which 7 numbers are less than 8.

Q: Suppose a quiz consists of 13 multiple choice questions, each question has four possible answers and…

A: Given : No. of multiple choice questions (n) = 13 Each question has 4 possible answers and 1 of them…

Q: A lock consists of 2 dials, where each dial has 4 letters. What is the probability of guessing the…

A: Experiment : Guessing the combination Event: Guessing the right combination.

Q: A quick quiz consists of a multiple-choice question with 4 possible answers followed by a…

A: A quick quiz consists of a multiple-choice question with 4 possible answers followed by a…

Q: Time magazine reported that when 19,218 gas masks from branches of the military were tested, it was…

A: The number of masks are tested is 19,218.

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5.  After a number is…

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…

Q: If the probability of success is 0.4, find the probability of failure in 3 out of 3 trials.

A: Let X be the number of failure  from binomial distribution with probability of success (p) = 0.4 and…

Q: Tereasa is about to draw a card at random from a standard deck of 52 playing cards. If she draws a…

A: A standard deck consists of 52 cards. n(S)=52 If she draws a red card or a face card she will win a…

Q: Just before a referendum on a school​ budget, a local newspaper polls 424 voters to predict whether…

A: It is given that ,just before a referendum on a school​ budget, a local newspaper polls 424 voters…

Q: Out of 39 men and 26 women what's the probability of randomly choosing a woman?

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Q: Students were all given a test that they ALL guess on. It had 10 questions and each were true or…

A: Given that Students were all given a test that they ALL guess on. It had 10 questions and each were…

Q: A card is chosen from a deck, the outcome is recorded, and the card is replaced. What is the…

A: Given that, A card is chosen from a deck, the outcome is recorded, and the card is replaced, We have…

Q: Political scientists want to determine the probability of exactly 3 out of the next 5 voters they…

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Q: A couple goes on the bus together and spots 6 empty seats in a row.  As they go towards the seats,…

A: Total number of ways of seating order = 6!= 720

Q: You randomly choose 5 different songs in order from a playlist of 18 songs. What is the probability…

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Q: Mr. Cruz decided to flipped a coin five times, what is the probability of getting at least 3 heads?

A: Solution

Q: A box contains 3 black spheres and 4 white spheres. Given that you have already selected 1 black…

A: Given :- A box contains 3 black spheres and 4 white spheres.  Now Given that we have already…

Q: A multiple-choice test consists of 10 questions, each with 4 possible answers but only one which is…

A: Given that  n=10 , p=1/4=0.25 , q=1-p=1-0.25=0.75 X=Number of correct answers…

Q: A psychiatrist believes that 80% of all people who visit doctors have psychosomatic problems. She…

A: Let p be the probability that a person who visits doctors has psychosomatic problem. Given that p =…

Q: Just before a referendum on a school​ budget, a local newspaper polls 356 voters to predict whether…

A: We are given,

Q: In an experiment, college students were given either 4 quarters or a one dollar bill and they could…

A:

Q: In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at…

A: It is given that, in a town 66% of the adults have health insurance.

Q: In a recent year, speaking characters in movies were 68.2% male. What is the probability of randomly…

A: Introduction: It is required to find the probability that a randomly selected character in a movie…

Q: There are red, yellow and green candies in a bag. What is the probability of selecting a blue one?

A: Probability could be defined as a number that always falls between 0 and 1, where 0 implies the…

Q: A committee of 5 people was selected from 6 men and 9 women. If the selection process is random,…

A: Solution

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.