Suppose that a new treatment is successful in curing a common ailment 61% of the time. If the treatment is tried on a random sample of 105 patients, approximate the probability that more than 67 will be cured. Use the normal approximation to the binomial with a correction for continuity.

Q: Find the moment generating function of normal distribution and obtain the first four moments about…

A:

Q: The random variable X is exponentially distributed, where X represents the waiting time to see a…

A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: Suppose that a new treatment is successful in Curing a common ailment 63% of the time. If the…

A:

Q: Assume that the time it takes for bacterial growth on a dairy product after it is taken out of…

A: As per given by the question, there are given exponential distribution with mean 10 minutes. Now,…

Q: It is appropriate to use A Normal approximation for a Binomial distribution with n3D20 and p3D0.4.

A:

Q: From past experience a company knows that on average 5% of their concrete does not meet…

A: Given data: p = 5 % n = 2000 x = 75

Q: Use normal approximation to estimate the probability of getting exactly 50 giris in 100 births.…

A:

Q: A study indicates that 44% of them have blood group AB. If we randomly select 250 people, using…

A: Reviewing information, X : No. of persons having blood group AB 44% peoples have blood group AB…

Q: Use the normal approximation to estimate the probability of getting exactly 48 girls in 100 births.…

A: Given: The sample size of births is n=100. The probability of birth of a girl is p=0.5. For Binomial…

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

A:

Q: Suppose that a loss follows log-normal distribution with the parameters μ=3μ=3 and σ=2σ=2. Find the…

A:

Q: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. If a simple…

A: Among people who subscribe to the Sacramento Bee Newspaper, 40% have a college degree. So, if a…

Q: Suppose that on a comprehensive exam at the end of a master's degree program, each student must…

A: Given DataTotal question(n) = 50

Q: he probability of the mango chosen at random being infested by worms is Find the xpectation and…

A:

Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

Q: When desiring to use the normal distribution process to approximate a binomial distribution problem:…

A:

Q: show that negative binomial distribution with the following pdf belongs to the exponential family

A:

Q: Suppose that the length of a phone call in minutes follows exponential distribution with parameter…

A:

Q: A producer of soft drinks was fairly certain that her brand had a 10% share of the soft drink…

A: Givenp=0.10n=2500x~Binomial(n=2500,p=0.10)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: Suppose that on a comprehensive exam at the end of a master's degree program, each student must…

A: Consider X be the random variable, defined as error in awarding points.Error of adding one extra…

Q: According to a study, 64% of all males between the ages of 18 and 24 live at home. (Unmarried…

A: Given,n=203p=0.64mean(μ)=np=203×0.64=129.92standard deviation(σ)=np(1-p)σ=203×0.64×1-0.64σ=6.838947

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: Suppose that the length of long distance phone calls, mea- sured in minutes, is known to have an…

A: Given; μ=15 min Let X be a random variable and follows exponential distribution with mean μ. We can…

Q: Suppose that a market research analyst for a cell phone company conducts a study of their customers…

A: It is given that the mean is 30.

Q: At a particular hospital, records show that each day, on average, only 80% of people keep their…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: At a train station, there are 7 ticket vending machines. Customers form a single waiting line to buy…

A: Given information: Number of Vending machines=c=7 Arrvival time=2 minutesλ=12 per minutes=12×60 per…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: How large a random sample is required from a popu-lation whose standard deviation is 4.2 so that the…

A:

Q: Suppose that a new treatment is successful in curing a common ailment 75% of the time. If the…

A:

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: Given datap= 0.45n =130Checking the validity of normal approximation

Q: Two Independent random samples of n observations are to be selected from each of two binomial…

A: Given: α=1-0.98=0.02E=0.05

Q: Suppose that a new treatment is successful in curing a common ailment 69% of the time.  If the…

A: It is given that n = 75 and p = 0.69.

Q: he daily demand for a certain product is approximately normally distributed with mean 50 and a…

A: Given Data: Mean=50 Variance=100   X~ Normal (50, 102)

Q: Find MLE for the parameter of the Binomial distribution.

A: Answer: For the given data,

Q: Assume that 1 out of every 5 adults in a local community is unemployed. Approximatethe probability…

A: Test statistic: The test statistic for hypothesis test for proportion is given by:

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: n = 64 p = 0.5

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From…

Q: the highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that…

A: Given Data: n=44 p=0.4 Mean=44*0.4=17.6 SD=sqrt(44*0.4*0.6)=3.25   Using binomial to normal…

Q: Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the…

A: Let p be the probability that a patient is cured with new treatment. Given that p = 0.60 Let X…

Q: Suppose that the amount of time one spends to complete a survey is exponentially distributed with…

A: Given- Suppose that the amount of time one spends to complete a survey is exponentially distributed…

Q: A PP with rate 8 is observed from time 0 to time 100. If there are 888 arrivals, what is the…

A: The expected time of the 444th arrival is obtained as given below:

Q: A researcher believes that about 74% of the seeds planted with the aid of a new chemical fertilizer…

A: It is an application of CLT . It is very useful in statistics .

Q: mation to e

A: According to the sum, the probability of having a boy=p=0.5 So, the probability of having a…

Q: Find the probability that the value of the exponential random variable with mean rate of 3.2 will be…

A:

Q: The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If 300…

A: Normal approximation to the binomial:From the given information, it is clear that sample size, n =…

Q: 40% of the squirrels in Cititon Park are gray. What is the probability that, in a random sample of…

A: Given that  P = 0.40 q= 1 - p = 1 - 0.40 = 0.60  n = 232  Using binomial distribution  Mean = mu =…

Q: A manufacturing process produces semiconductor chips with a known failure rate of 7.5%. If a random…

A:

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.