Using the Binomial Probability Formula given 11 trials, n = 11 and probability of success p = 0.45, find the probability that exactly x = 9 for P(x) PLEASE SHOW ALL WORK!!!

Q: Find P(X<2), that is, find the probability of obtaining less than 2 heads.

A: Find we have to find probability for each required case.

Q: Assume that guesses are made for 5 questions on a medical admissions test such that the probability…

A: Given: Probability of correct answer (p) = 0.40 Number of questions (n) = 5 Consider, X be the…

Q: In a sample of 24 cats from a population with a probability of 0.11 of having a coat of fur with…

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

Q: X disease is seen at a rate of 5% in the society. That is, 5% patients (H) are 95% healthy (S).…

A:

Q: If you let X equal the number out of n = 48 seeds that will sprout when p = 0.75 is the probability…

A: Sample size Proportion

Q: The probability of winning on an arcade game is 0.606. If you play the arcade game 20 times, what is…

A: Let P denote the  probability of winning on an arcade game = 0.606.  Let n denote the number of…

Q: Find the probability of getting five multiple-choice question answered correctly, if for each…

A: The probability of getting 5 MCQ answers correctly is equal to  P(X=5) =? The probability of…

Q: What is the probability of a z-score less than -0.02?

A: It is given that z-score is less than –0.02.

Q: What is the probability of P(X=k) if a binomial distribution with a trial repeated n = 17…

A: Given: In a binomial distribution, Number of trials is, n=17. Number of successes is, k=8.…

Q: the probability of P(X=k)= if a binomial distribution with a trial repeated n = 9 times,Using the…

A: The probability of success can be calculated as: p+q=1 p+0.61=1 p=1-0.61 p=0.39

Q: What is the probability of scoring above a z-score of -1.11?

A: Z has follows standard normal distribution with mean zero and standard deviation one.

Q: Over a long of time it has been observed that a given rifleman can hit a target on a single trial…

A:

Q: Consider a binomial experiment with n = 8 trials where the probability of success on a single trial…

A: Given that n=8 and p=0.30 The probability mass function for the random variable r is,…

Q: = 68% of US adults have very little confidence in newspapers. You randomly select 10 U.S. adults.…

A: Let X be the random variable from binomial distribution with probability (p) = 68% = 0.68 and sample…

Q: {10.2}   Suppose that events E and F are​ independent, ​P(E)=0.7​, and ​P(F)=0.6. What is the P(E…

A: Given that  ​P(E)=0.7​, and ​P(F)=0.6 P(E and F)=P(E∩F) If E and F are independent.  P(E∩F)=…

Q: Suppose that 29% of all people love cats more than dogs. Among 10 random people, what is the…

A: From the provided information, Sample size (n) = 10 29% of all people love cats more than dogs that…

Q: A bag contains three marbles labeled with the numbers (8, 9, 10) and another bag contains three…

A: It is required to find the probability pZ|A­ (10).

Q: 6. 69% of high school graduates population attend colleges, out of this population 100 HS graduates…

A: We have to find given probability.

Q: What is the Z value of calculating probability of x<3500, on a single test?

A: If is given that,  Mean is μ=7500 and standard deviation is σ=1750

Q: What is the probability of P(X=k) if a binomial distribution with a trial repeated n = 17 times,…

A: From the provided information, Number of trials (n) = 17 Probability of success (p) = 11/60 Number…

Q: The injury rate of a volleyball player is 20%. If he throws the ball 100 times, and if you know that…

A:

Q: A large class of 400 students has just taken an exam. The exam consisted of 40 true-false questions…

A: GivenTotal questions = 40The probability of correct answer =12The probability of incorrect answer=12…

Q: A biased coin has a 0.27 chance of coming up heads when flipped. Let X be the number of heads when…

A: Given that, Success probability, p= 0.27 We flip a coin 5 times so n=5 P.d.f. of binomial…

Q: What is the probability of P(X=k)= if a binomial distribution with a trial repeated n=13 times,…

A: Let X be a random variable where; X~Binomial(n,p)The probability mass function is given…

Q: probability that the combined sample tests positive for the virus? is it unlikely for su person has…

A: Let X be the random variable such that number of  adult who test positive. N: Total number of…

Q: A biased coin has a 0.39 chance of coming up heads when flipped. Let X be the number of heads when…

A: As each trial has two options (i.e getting a head or tail) with a defined probability of head (i.e…

Q: Suppose a poll taken a few years ago found 75% of parents spank their children. Now suppose a random…

A: Probability that parents spank their children = 0.75 n = 20 Binomial Theorem Probability of x…

Q: Your supervisor asked you to run more studies on the AirTag. You need to make sure that each AirTag…

A: Given:-             Your supervisor asked you to run more studies on the AirTag. You need to make…

Q: We do independent attempts each with success probability p. We keep repeating the attempts until 3…

A: Given information: We do independent attempts each with success probability p. We keep repeating the…

Q: The ratio to the probabilities of 3 successes and 2 successes among 5 independent trials = Find the…

A: Let X be the number of successes out of the 5 independent trials. Here because of the independence…

Q: What is the probability of P(X=k)=if a binomial distribution with a trial repeated n = 10 times,…

A: From the provided information, Number of trials (n) = 10 Probability of success (p) = 17% that is…

Q: Can someone please help me? The population mean for IQs is 112, with a standard deviance of 15.…

A: We have to find given probability..

Q: Suppose that extensive testing has revealed that people in Group A have IQ’s that are well described…

A: a)

Q: What is the probability that the number of people admitted to an intensive care unit on a particular…

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Q: Assume that random guesses are made for seven multiple choice questions on an SAT test, so that…

A:

Q: In a recent year, about 22% of Americans 14 years and older are single. What is the probability that…

A: Solution: Let X be the random variable that the number of Americans 14 years and older are single.…

Q: Suppose that 84% of students who live in a college dorm ate at a Subway restaurant during the past…

A: In this context, X denotes the number of students ate at Subway last week. Here, X follows binomial…

Q: The unemployment rate in a city is 15%. If 6 people from the city are sampled at random, find the…

A: The unemployment rate in a city is 15%.

Q: The probability of getting a cracked egg at the grocery store is 15% (p = 0.15). In this binomial…

A:

Q: What is the probability that X equal 2?

A: The probability of rolling a four = 1/6 = p  n = 8

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.