True or False: The diameters of 10 randomly selected bolts have a binomial distribution.

Q: Suppose 34% of cubes processed by a machine have side lengths less than 100mm. A random sample of 60…

A: Solution: From the given information, the probability of a cube processed by a machine has side…

Q: Select two situations from the list below that could be modelled using the binomial distribution.…

A: A random experiment is called binomial if it has the following properties: 1) The number of trials…

Q: Check the property of biasdness for the distribution of binomial

A:

Q: One production process, on average, produces 1.5 percent of the waste. This production product is…

A:

Q: Look at the binomial distribution table. Notice that the probability of success on a single trial p…

A: Let, X~Binomial(n=5, p=0.30)andY~Binomial(n=5, p=0.70) (a) Here we need to compare P(X=3) and…

Q: In a factory, in a batch of 100 products, there are on average 3 of defected ones. Please calculate…

A:

Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: P(good worker) = p = 0.70sample size(n) = 4x = no.of good workersP(X=X) =nCxpxqn-x   ____binomial…

Q: Explain why X can be modeled by a binomial distribution even though the sample was selected without…

A:

Q: In a factory that produces pieces of ready-made concrete, if the ratio of production of defective…

A:

Q: On the average, Jayson commits 4 personal fouls in a basketball game. What is the probabili…

A: We have given that  On the average, Jason commits 4 personal fouls in a basketball game.

Q: Suppose 75% of the age group 1 through 4 years regularly utilize seat belts. Find the probability…

A:

Q: Why the condition of independent events is necessary to derive the formulas for the binomial and…

A: Why the condition of independent events is necessary to derive the formulas for the binomial and…

Q: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are randomly selected.…

A: Given information: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are…

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled.…

A:

Q: Suppose that in a particular population of people, 76% have brown eyes. If you were to select eight…

A: It is given that 76% have brown eyes and a 60 people at random.

Q: Challenge 4: Binomial Distribution 1. How many ways can a team of 7 be chosen from a panel of 20?

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: In a binomial distribution, p, the probability of getting a successful outcome on any single trial,…

A: One of the properties of binomial distribution is that the probability of success must remain same…

Q: A section of 7.5 kilometers has been closed down for remediation of rust attack. What is the…

A: We can model the number of rust infestations using a Poisson distribution with parameter λ, where λ…

Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: Given data  Binomial distribution P(being good worker) =p=0.70 n= No. of trials = 20 x=No. of…

Q: How do you do a binomial distribution?

A: Binomial Distribution: The Binomial distribution is useful if the experiment has two outcomes…

Q: In a factory, in a batch of 100 products, there are on average 5 of defected ones. Please calculate…

A: In the batch of 100 products there are on an average 5 are defective. Hence probability that a…

Q: Suppose a fair coin is flipped 3000 times and counted the number of heads and tails. Using the…

A: Fair coin is flipped 3000 times and counted number of heads and tails. Probability of getting head…

Q: If the probability of a defective bolt is 1/9 . Find 1) the mean 2) the variance for the…

A:

Q: 19. Find the characteristic function of binomial distribution.

A: Given that ;  A binomial distribution probability mass function.  By using this we calculate the…

Q: Suppose that elementary students' ages are uniformly distributed from 5 to 13 years old. The…

A:

Q: Jaylen, a basketball player, is known to make 41% of his shots. What is the probability distribution…

A: Given that  Success of probability p =41%=0.41 Number of trials n=7 X~binomial (n,p)

Q: mple of 1000 com xin ditions necessary ximation to the b

A: According to the sum, We have to use the normal approximation to the binomial to approximate this…

Q: probability of obtaining a even number of heads

A: here use binomial distribution table  n  = no of trial  =  9 p = probability of success  = 0.6

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use some…

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

Q: What is the probability that a point chosen at random on the grid will lie in the unshaded region? 3…

A:

Q: In the trunk where there are 5 triangles, 3 circles and 2 rectangles. Performing extractions with…

A: given data  5 triangles 3 circles 2 rectangles ___________________ 10 total items

Q: Suppose a coin is weighted so that it comes up heads 60% of the time. What is the probability of…

A: Given information: Number of trials (n)=50 Probability (p)=0.60 Find: P(X≥25)

Q: In a factory, in a batch of 100 products, there are on average 3 of defected ones. Please calculate…

A:

Q: We are picking 200 jelly beans out of a huge vat at a factory known to have 25% black jelly beans.…

A: sample size(n) =200 probability(p)=0.25 Using normal approximation to binomial we have…

Q: According to American Airlines, Flight 215 from Orlando to Los Angelas is on time 90% of the time.…

A:

Q: Give 5 problems of Binomial distribution and geometric distribution

A: Explanation: Binomial distribution: If a random variable X follows Binomial distribution with…

Q: Use the Binomial Distribution to calculate the probability that Lisa was hit by 3 or fewer rotten…

A: Given:-   Binomial distribution we have to calaculate PX≤3   let  success = lisa hits the egg =p…

Q: Use the scenario below to determine the correct values of n, p, q and x of the binomial…

A:

Q: In principle, a distribution of means can be formed by?

A: We know In principle Population is (x1, x2,x3,.....xn) for principle we want to draw a sample from…

Q: According to a recent Gallup poll, about 5% of Americans polled say they are vegetarian (abstaining…

A: Given p= 0.05, n=750 X ~ B ( n, p) X ~ B( 750, 0.05) therefore Mean,  μ = np…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!