Suppose that X is a binomial random variable with n=300 and p-0.5. Find the probability P(x is less than or equal to 70)based on the corresponding binomial distribution. * Your answer Find the probability P(x is less than or equal to 70)based on the approximate normal distribution. Your answer Is the normal approximation reasonable? O Yes No.

Q: The manufacture of textile assumes that the proportion of orders for late delivery of raw material…

A: Given: H0:p=0.7H1:p<0.7 Sample size = n = 12.

Q: Suppose that X is a binomial random variable with n = 100 and p=0.5. Find the probability P is less…

A:

Q: Suppose that X is a binomial random variable with n=300 and p=0.5. Find the probability P(x is less…

A: We want to find the probability by using binomial and by normal distribution.

Q: Consider a single observation of a random variable having an exponential distribution A. Recal that…

A: From the given information, f(x)=1λe-xλx>0 Given Hypothesis: H0:λ=2H1:λ=1 Rejection Region:…

Q: If the random variable x has a Poisson Distribution with mean μ = 6, find the probability that x =…

A: Given λ =6 X= 2

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: Q3: let x be random variable with Beta distribution, find the V(x)?

A: Beta Distribution: A continuous random variable X is said to follow Beta distribution with…

Q: Suppose we have a normal distribution with µ = 10

A: Let X be a random variable which follows a normal distribution with mean μ and standard deviation…

Q: "A minister has to work every Saturday on which there is a wedding. Church records show that the…

A: The Poisson distribution is used to model random variables that count the number of events taking…

Q: Suppose that X is a binomial random variable with = 200 and p = 0.4 a. find the probability P(X ≤…

A: X~Bin(n, p) n = 200 p = 0.4 Mean(X¯) =n×p Mean(X¯) =200×0.4 Mean(X¯) =80 σ = n×p×(1-p) σ =…

Q: In a country of 80 million people, it is observed that 15% of the population have hearing trouble.…

A: Given : Population, N = 80000000 p = 0.15 Sample size, n = 120 .05

Q: A fabric manufacturer believes that the proportion of orders for raw material arriving late is p =…

A: Given: The proportion of orders for raw material arriving late is p=0.6. The number of sample orders…

Q: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Given: Sample Sizen=20 Proportionp=0.8 The normal distribution can be used as an approximation to…

Q: fewer than 10 cars have fewer than three passengers ii) at least 15 cars have fewer than three…

A:

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: Given that, the sample size is n=100 and the probability that the clerk makes an error in an invoice…

Q: The random variable X has a binomial distribution with parameters n = 8 and p = 0.30. what is…

A: The formula for binomial distribution is, PX=x=nxpx1-pn-x

Q: An airliner has a capacity for 250 passengers. If the airline company overbook a flight with 260…

A: Given information: It is given that the airline has a capacity for 250 passengers. The airline…

Q: Suppose the random variable X has the binomial distribution with parameters n=8 and p=0.67.…

A: We have given that,  The X be a random variable that follows Binomial distribution with parameter…

Q: X is a normal random variable with mean 0 and standard deviation 1. Y is uniformly distributed…

A: We are given the following X~N0,1 & Y~U2X,0fx=12πe-12x2⇒2X<Y<0  or  2Y<X<0

Q: The probability that a patient recovers from a stomach disease is 0.8. Suppose that 100 people…

A: Let p be the probability that a patient recovers from a stomach disease  Given  n=100, p=0.8  Note:…

Q: A certain flight arrives on time 82 percent of the time. Suppose 175 flights are randomly selected.…

A:

Q: randomly selected students on your campus and find that 76 of them would prefer a boy (a) Use the…

A: Let p be the probability p=45%=0.45  n=sample=160  P(X≥76)=?

Q: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Obtain the approximate probability of more than 13 successes in 20. The approximate probability of…

Q: We have provided the parameter of a Poisson random variable, X. a. determine the required…

A:

Q: A discrete random variable X has the mean 6 and variance 2. If it is assumed that the distribution…

A:

Q: Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have…

A: Given Mean=60 Standard deviation=19

Q: Let the random variable X represent the number of customers who arrive in a store in one hour.…

A: As per the question X represents the number of customers who arrive in a store in one hour X ~ P(λ =…

Q: Suppose that X is a binomial random variable with n= 200 and p=0.4. Find the probability P(X< 70)…

A: Use the ‘conditions for normal approximation to the binomial distribution’ to determine whether X…

Q: Q 2/ In a certain city, the number of power outages per month is a random variable, having a…

A: Given that   In a certain city, the number of power outages per month is a random variable, having a…

Q: Suppose X is a normal random variable with mean 20 and standard deviation of 4. What is th…

A: Let X be the random variable from normal distribution with mean (μ) = 20 and standard deviation (σ)…

Q: The random variable X has a binomial distribution with n=10 and p=0.5. Determine P(X≥9)

A:

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A: Here, n=46 and p=0.89.

Q: Hello. Can I get help on how to work out this problem? If there is also a way to calculate using the…

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: Suppose that X is a binomial random variable with n=200 and p=0.5 a.) Find the probability P(x is…

A: It is given that n=200 and p=0.5.

Q: Suppose that X is a binomial random variable with n = 200 and p = 0.4. Find the probability RCX s…

A: Given n =200 ,p =0.4 p( x&lt;=70 ) =?

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

A: n = 64 p = 0.5

Q: . Suppose that X is a binomial random variable with n = 200 and p = 0.4. Find the probability PCX<…

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

Q: Is the statement below true or false? Suppose that X is a binomial random variable. To approximate…

A: Suppose that X is a binomial random variable  To approximate P(3≤X&lt;7) using the normal…

Q: We have provided the parameter of a Poisson random variable, X. a. determine the required…

A:

Q: The random variable X has a binomial distribution with n = 20 and p = 0.01. What is the mean and…

A: Consider the given information as, n=20 and p=0.01 As we know that formula of mean and variance…

Q: For a t-distribution with 16 degrees of freedom, find the area, or probability, in each region.…

A:

Q: Suppose that X is a binomial random variable with n=300 and p=0.5. Is the normal approximation…

A: Q1.Yes. Explanation given below.

Q: The average life of a certain battery is 7 years, with a standardeviation of 2 year. A random sample…

A: Formula : Z =(X - μ)/σ

Q: Suppose that X is a normal random variable with mean 5. If P(X > 9) = 0.2 ,approximately what is…

A:

Q: It is believed that approximately 75% of American youth now have insurance due to the health care…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which…

A: In a deck of 52 cards ,  There are 13 diamonds ♥ Therefore, P (drawing a diamond card from deck of…

Q: A fabric manufacturer believes that the propor- tion of orders for raw material arriving late is p =…

A:

Q: Assume a random variable X follows a Poisson distribution with a mean μ=3. Find P(X≤3)   P(X≤3)=…

A: From the given information we find the probability.