Let X be binomial random variable with n =20. For the hypothesis test Ho p = 0.5 versus Ha : p > 0.5 we reject Ho as X > 8. Calculate the probability of making type II error for p = 0.75.

Q: The owners manual of your new car states that each front tire should be filled to a pressure of…

A:

Q: Z is a standard normal random variable. the P(1.05≤Z≤2.13) equals?

A:

Q: Find the mean and standard deviation for the binomial random variable x with n = 30 and P = 0.6.

A: Given: n=30p=0.6

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A: Note- Since parts a, b, and c are correctly answered so I am giving a solution for part (D) only.

Q: Let X be a discrete random variable with Poisson distribution, and with parameter 18. What is the…

A:

Q: The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 10.…

A: Given data p=0.7 n=10

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A:

Q: Suppose the time to failure, in hours, of a bearing in a mechanical shaft, is a Weibull random…

A: From the given information, the time to failure of a bearing in a mechanical shaft is a Weibull…

Q: In a binomial experiment with n trials and probability of success p, if np(1-p) 10, the binomial…

A: According to the given information in this question If np ≥ 10 and.nq ≥ 10 then the binomial…

Q: assume z is a standard normal random variable.  Then p (-1.5 < or = z < or = 1.09)…

A: It is given that z-is a standard normal random variable.

Q: Suppose X is a Bernoulli random variable with parameter p, 0 < p < 1, and suppose that Y = X+ 2.…

A:

Q: Let y be a binomial random variable with n = 8 and prob of success in any one trial = 0.40. Find…

A: Solution: From the given information, Y follows binomial distribution with parameters n=8 and…

Q: The random variable X has a binomial distribution with n = 6 and p = 0.3. Calculate: P (X 2 5)

A: Givenn=6p=0.3x~Binomial(n=6,p=0.3)P(X=x)=(nx)×px×(1-p)n-x ;  x=0,1....,n

Q: Show that if a random variable has a uniform den-sity with the parameters α and β, the probability…

A:

Q: The number of requests a particular server receives during 1 second is modeled by a Poisson random…

A: Explanation: The server receives 1000 requests per second on average It means,  1 second = 1000…

Q: Given that z is a standard normal random variable, what is the probability that -2.51 SS-1.532…

A: Given Data: z represents the standard normal distribution   To Find: P(-2.51&lt;z&lt;-1.53)

Q: Consider a random variable X with the following cdf: X4 Determine the 62th percentile, which is the…

A:

Q: Let X represent the number of heads that can come up when tossing a coin in two cases: twice and…

A: Solution-: We find sample PMF when tossing a coin in two cases: twice and thrice times

Q: z is a standard normal random variable. The P2> 2.41) equals 0.0778 0.1075 O 0.9222 O 0.0080

A: The P(Z ≥ 2.41) equals is obtained below: From the given information the value of z-score is 2.41.…

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: What is the probability that Z is equal to or smaller than 0.5? Z represents a standard normal…

A:

Q: Let z be the standard normal random variable (with mean 0 and standard deviation 1). What is the…

A: Mean = 0 Standard deviation = 1

Q: let Y be a random variable that can either be equal to 0 to 1. let p(Y=1)=p,what is E(|Y-p|)?

A:

Q: Let X be a binomial random variable with mean u = 3.6 and %3D variance o? 2.52, find %3D

A: Givenmean(μ)=3.6variance(σ2)=2.52

Q: Let X and Ybe independent standard Normal random variables. Find the joint distribution of X2 +Y2…

A: From the given information, X and Y are independent standard normal random variables. Given that…

Q: able Z follows a standard distribution, find p(-1.2<Z<1.2)

A: USe standard nomla table to find the rporbabiloities corresponding to the given z values.

Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: Suppose you have a chi-square random variable, Y, with 20 degrees of freedom. What is the smallest…

A: Solution: Let Y be the chi-square random variable with 10 degrees of freedom

Q: Let y be a binomial random variable with n = 8 and prob of success in any one trial = 0.40. Find…

A: Sample size n=8 Probability of success p=0.40 Probability of failure q=1-p=1-0.4=0.6 y~Binomn=8,…

Q: A laundry shop averages 9 customers per hour. Assume that the number of customers is a Poisson…

A:

Q: If X is a binomial random variable with n = 15 and p = 0.3, we can use the normal approximation? О…

A:

Q: Find E[X], and Var[X], when "X" is a normal random variable with pa- rameter µ and o? respectively.

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

Q: Find the following probabilities for the standard normal random variable z:   (a) P(-0.87 \leq z…

A:

Q: na previous year, 58% of females aged 15 and older lived alone. A sociologist tests whether this…

A: Solution: Given information: n= 350 Sample size of females  x= 210 females are living alone…

Q: Let y be a binomial random variable with n = 8 and prob of success in any one trial = 0.40. Find…

A: The binomial probability distribution is, PY=y=nypy1-pn-y In the formula, n denotes the number of…

Q: Classify the following random variables as discrete or continuous . 1. The average distance that a…

A: Introduction Hey there.! thank you for posting your question. Hope you’re doing well. Since you have…

Q: Assuming that X is a binomial random variable with n=20 and p=0.30, what is Pr(X=6)? Round your…

A: From the provided information, Number of trials (n) = 20 Probability of successes (p) = 0.30

Q: The random variable X has a binomial distribution with n=6 and p=0.3. Calculate P(X greater than or…

A: Given,n=6p=0.3A random variable X~Binomial(n=6 , p=0.3)P(X=x)=6x 0.3x1-0.36-xP(X=x)=6x 0.3x0.76-x  ;…

Q: If the standard deviation of a Poisson random variable X is 2, then find the probability that X is…

A: Given: Standard deviation λ=2 The variance could be calculated as: variance = standard…

Q: Let X be a binomial random variable with n 25 and p =0.6. Approximate the following probabilities,…

A: It is given that the sample size n is 25 and the p is 0.6.

Q: Let X1 and X2 be independent standard normal random variables. Show that the joint distribution of

A: Given information: It is given that X1 and X2 are independent standard normal random variables.

Q: If a random variable X has a binomial distribution with parameters n = 15 and p = 0.5, find : P(10…

A: Given, X has a binomial distribution with parameters n=15 and p=0.5 Therefore, the probability mass…

Q: Show that E(p) =p where p =, the probability of success for a binomial random variable X. What does…

A: Solution

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

A: β = Type II error

Q: In a binomial experiment with n trials and probability of success p, if np(1-p) V the binomial…

A:

Q: The manufacturer of textile assumes that the proportion of orders for late delivery of raw materials…

A: Part (a) Given that, n=12p=0.7q=0.3 Calculate the probability of committing a Type 1 error.…

Q: What is the sd of a random variable X with MGF 1 V(1-2t)

A: Mgf of chi square with n degree of freedom  Mx(t)=(1-2t)^(-n/2)

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.