Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X≤1) , n=5, p=0.6

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 red ​balls, 5 green…

A: The answer is attached below,

Q: A bag contains 8 red marbles and 13 green marbles. We pick twice at random a marble from the bag…

A: Given that Total marble=8+13=21 Red marble=8 Green marble=13 Two marble are drawn at random without…

Q: oice questions, each with 6 possible answers. For someone who makes random guesses for all of the…

A: The number of multiple choice questions is n=10. The probability of the correct answers is p=16. The…

Q: The data represents the results for a test for a certain disease. Assume one individual from the…

A:

Q: 77% of all students at a college still need to take another math class. If 5 students are randomly…

A: Binomial distribution:The binomial distribution gives the probability of number of successes out of…

Q: A quiz consists of 10 multiple-choice questions, each with 6 possible answers. For someone who makes…

A: given data n=10 question each with 6 possible answer. p(correct…

Q: wenty-six percent of couples who plan to marry this year are planning destination weddings. Assume…

A: Given data is appropriate for binomial distribution. The binomial distribution is frequently used to…

Q: Find the probability and interpret the results. If convenient, use technology to find the…

A: Given dataμ=61000n=31x¯=58500σ=5700

Q: In a large population, 57% of the people have been vaccinated. If 3 people are randomly selected,…

A: Obtain the probability that that at least one of them has been vaccinated. The probability that that…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 113 responded "Yes", and 329…

A:

Q: Use the multinomial formula and find the probabilities for each. Round your answers to at least…

A: From the above given data the following solution is provided below:Given data,                 n= 3,…

Q: Determine if the following probability experiment represents a binomial experiment. If​ not, explain…

A: Requirements of a binomial experiment are as follows: In binomial experiment each trial has two…

Q: The Random Variable X counts the number of students in a 23 person class who passed an exam. If the…

A: The Random Variable X counts the number of students in a 23 person class who passed an exam.  If the…

Q: A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green…

A: 8 black ribbons12 green ribbons__________________20 total ribbons

Q: Terry purchases 30 scratch off lottery tickets. Each ticket has a 10% chance of winning. What is the…

A: Given: The sample size is n= 30. The probability of winning is p=10%=0.10.

Q: At a used-book sale, 100 books are adult books and 155 are children's books. Of the adult books, 74…

A: The contingency table is given as : Adult booksChildren bookTotalNon…

Q: Find the probability of fewer than half of the questions correct in 14 guesses.

A: here given , A student is making independent random guesses on a test. The probability the student…

Q: Find the probability and interpret the results. If convenient, use technology to find the…

A: Given,Mean, μ = 61000Sample size, n = 43Standard deviation, σ = 5900Let X be a random variable…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.45 %. A random sample of 32 of…

A: The objective of this question is to find the probability that the mean childhood asthma prevalence…

Q: The probability that a high school student has smoked marijuana is 46%. If 16 high school  students…

A: Given that  p=46%=0.46 n=16

Q: A shipment of 27 toys is returned if 7 are checked for flaws and at least 5 are found to have flaws.…

A: Given: Total number of toys in the shipment (N) = 27 Number of toys that have flaws in the shipment…

Q: During the summer semester , students can register for no more than three classes. Identify the…

A: It is given that the, During the summer semester, students can register for no more than three…

Q: The probability of a success is .45. If you have a sample of 13 people, what is the probability that…

A: Bin(n=13, p=0.45)

Q: Find the probability of randomly selecting a student who kept the money, given that the student was…

A:

Q: Use the multinomial formula and find the probabilities for each. Round your answers to at least…

A: Given information,n = 6, X1 = 1, X2 = 2, X3 = 3, P1 = 0.4, P2 = 0.3, P3 = 0.3Using formula…

Q: cent of couples who plan to marry this year are planning destination weddings. Assume the variable…

A: The probability that fewer than 3 couples will have a destination wedding is, P ( X < 3 )  =P ( 0…

Q: 4. 66% of Americans support death penalty (Gallup, 2004). Seven people are randomly selected. Let…

A: Given that  n=7 , p=66%=0.66 X~Binomial(n=7,p=0.66)

Q: What is the probability that of the 77 people selected more that 50% will have a cat at home.

A: It is given that Sample size n = 77 Population proportion = 0.3313

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.