Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If​ so, approximate​ P(X) using the normal distribution and compare the result with the exact probability. n=51 p=.03 x=20

Q: Flaws in a carpet tend to occur randomly and independently at a rate of one every 160 square feet.…

A: From the given problem we know that Area of the carpet is =9×11=99 sq feetand a random variable…

Q: In a certain village sports club, 36 % of members play football, 32 % of members play cricket, and…

A: We have given that,  Probability of members play football P(F) = 36%=0.36, probability member play…

Q: Using the Binomial distribution, If n=6 and p=0.3, find P(x=3

A: Given: n = 6 p = 0.3 q = 1-p    = 1-0.3 q = 0.7 Formula Used: Binomial distribution:  A random…

Q: A binomial probability is given. Write the probability in words.​ Then, use a continuity correction…

A: Given : ​P(x>43​)

Q: Using Bayes' theorem, calculate the probability that a person who has had a positive test for a…

A: Consider the following events, D=person has the disease D'=person does not have the disease P=test…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: The middle 70% means 30% is left over, half on each side. => -z is at the 15th percentile and z…

Q: HYPERGEOMETRIC DISTRIBUTION: Suppose your friend has 10 cookies, 3 of which are chocolate chip. Your…

A: Given that Total number of cookies = 10 Number of chocolate chip = 3 Let X denote the number of…

Q: A binomial probability is given. Write the probability in words. Then, use a continuity correction…

A: Given: P111<x<120

Q: Engineers claims that a certain formula can increase the strength, X, of concrete with mean 5000…

A: Given,  μ=5000 and σ=120

Q: Using the binomial distribution, If n=7 and p=0.5, find P(x=5

A:

Q: Use Hypergeometric Distribution) A recent study found that 2 out of every 10 houses in a…

A: The hypergeometric distribution is given by: PX=k=KkN-kn-kNn Where N is the population size K is the…

Q: Using the Binomal distribution if N=8 and p= 0.4, find P(x=3)

A: Here the random variable X has binomial distribution  With parameter   n = 8, p = 0.4 & q = 1-p…

Q: Using the Binomial distribution, If n=10 and p=0.4, find P(x=5)

A:

Q: Historical data show that 15% of college students prefer Facebook to Instagram. A sample of 10…

A: Given that the historical data show that 15% of college students prefer Facebook to Instagram.…

Q: A binomial probability is given. Write the probability in words. Then, use a continuity correction…

A: Given : P(x ≥41)

Q: An experiment follows exponential distribution with mean 100. The probability that a value falls…

A: Obtain the value of x. The value of x is obtained below as follows:

Q: Engineers claims that a certain formula can increase the strength, X, of concrete with mean 5000…

A: Given  μ=5000   and   σ=120

Q: Compute P(X) using the binomial probability formula. Then determine whether the normal distribution…

A: Given that  Sample size (n) = 54 Proportion (p) = 0.7 (x) = 32   We know that  Binomial probability…

Q: deviation approximately 4 square inches. a. If the forester samples n = 9 trees, find the…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION 1. A forester studying the effects of…

Q: Let X be binomial random variable with parameters n = 15 and p = 0.2. a. Write the expression of the…

A:

Q: Using the formula for a Poisson Distribution,  solve this problem The pancake house is popular and…

A:

Q: Compute P(X) using the binomial probability formula. Then determine whether the normal distribution…

A: Obtain the probability that X equals 6. The probability that X equals 6 is obtained below as…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: It is given that the IQ scores follow normal distribution with mean 100 and standard deviation 15.…

Q: A binomial probability is given. Write the probability in words. Then, use a continuity correction…

A: The given binomial probability is Px≤69.

Q: a) Find the expected value of X. p Find the yariance of X.

A: We have to calculate the the expected value and variance of X based on given probability…

Q: oute P(x) using the binomial probability formula. Then determine whether the normal distribution can…

A: We have given that  Sample size n = 74 Success of probability p = 0.73 X= 57 X~binomial ( n ,p )

Q: Draw a probability distribution plot for Binomial, Poisson, Negative Binomial and Hypergeometric…

A: Probability distribution describes all possible values and probability that a random variable can…

Q: Using the Binomial distribution, If n=5 and p=0.6, find P(x=3)

A: Given that X follows Binomial(n = 5, p = 0.6)

Q: Using the Binomial distribution, If n=5 and p=0.5, find P(x=3)

A: For a random variable X~B(n,p), the probability mass function is, P(X=x)=nCxpxqn-x ; x=0,1,2...n…

Q: A binomial probability is given. Write the probability in words. Then, use a continuity correction…

A:

Q: Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5…

A: The cumulative distribution function of Exponential distribution is given below: Fx;λ=1-e-λx    x≥00…

Q: A binomial probability is given. Write the probability in words. Then, use a continuity correction…

A:

Q: Using Bayes' theorem, calculate the probability that a person who has had a positive test for a…

A: Given information: Denote the event that the test gives positive result as P. Denote the event that…

Q: 1. Find the Mean & Variance of Binomial distribution, Poisson’s distribution by using m.g.f.

A: Binomial Distribution: Moment Generating Function for Binomial Distribution:

Q: Using the Binomial distribution, If n=9 and p=0.2, find P(X=5). Round your answer to 4 decimals.…

A:

Q: The _______distribution is used to measure the time that elapses between occurrences of an event,…

A: To find the distribution.

Q: An expert sharpshooter misses a target 5 percent ofthe time. Find the probability that she will miss…

A:

Q: In studies for a​ medication, 12 percent of patients gained weight as a side effect. Suppose 530…

A:

Q: The population mean annual salary for environmental compliance specialists is about ​$63 comma…

A: It is given that mean and standard deviation are 63,000 and 5,800, respectively.By using central…

Q: HYPERGEOMETRIC DISTRIBUTION: Suppose your friend has 10 cookies, 3 of which are chocolate chip. Your…

A:

Q: The table  shows the probability distribution of the discrete random variable X Find the value of p…

A: X 2 3 4 5 6 7 P(X=x) p 2 p p 2 p 3 p p

Q: Looking at the Chi-squared Distribution Probability Table (Table A.5 in the back of the textbook or…

A: From the provided information, The chi square value is 18.307. The degree of freedom = 10

Q: Expected value d. Suppose a random sample of 20 adults is taken. What is the probability that…

A: See the handwritten solution

Q: a) rejected whereas the mean strength is actually 5000 kg=cm2 b) accepted whereas the mean strength…

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Q: Texting: Five teenagers are selected at random. Let X be the number of them who have sent text…

A: As per company guidelines I solved exactly three subparts of the question .thank you X

Q: A Bihomial probability is given. Write the probability in words. Then, use a continuity correction…

A: Solution: Let X be the number of successes in a fixed number of trials n.

Q: The semarnat has set the average number of bacteria per cm3 of water at 70, as a limit. An average…

A: sample mean  x=∑xi1nn x=(69+74+75+70+72+73+71+73+68)9 x=6459 x=71.67 Sample Variance s2=∑xi-xn-1…

Q: Using the binomial distribution, If n=10 and p=0.2, find P(x=3)

A: Given  p=0.2 n=12 q=1-p=1-0.2=0.8 X~Binomial(n=12,p=0.2) Find P(x=3)

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.