Let X represent a binomial random varilable with n= 200 and p = 0.77. find the following probabilities. a. P(X< 150) b. P(X> 160) c. P(155

Q: Given that X is a binomial random variable with n 20 and p -0.75, find the following probabilities:…

A:

Q: If X is a binomial random with n =8 and p = 0.6 , what is the probability that  X is less than or…

A: If we have n trials each having two outcomes, say Success and Failure, trials being independent and…

Q: Suppose X has probability distribution, x: 0 1 2 3 4 P(X = x) 0.2 0.1 0.2 0.2 0.3 Find the…

A: Given Probability Distribution table X P(X) 0 0.2 1 0.1 2 0.2 3 0.2…

Q: A sample of n=900 observations is drawn from a population that is normally distributed with mean…

A: Solution: From the given information, X follows normal distribution with a mean µ=1,000 and a…

Q: Let x be a binomial random variable with  n = 20 and p = 0.2 Find  p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: Suppose a random variable, x, arises from a binomial experiment. If n = 12, and p = 0.16, find the…

A:

Q: Find the following probabilities. Round to four decimals. a. P(Z – 0.2) :

A: Given Data: z follows standard normal distribution   a) To find: P(z&lt;-0.2) Using z-distribution…

Q: Suppose the random variable X has the following probability distribution 2 1 1- 0.2 0.3 0.3 0.2…

A: Probability Distribution: It is a statistical function, describing all the possible outcomes of the…

Q: Let X be a random variable with the following probability distribution. -4 0 1 2 P(X=x) 0.2 0.3 0.4…

A: No, µ is not a possible value of X.

Q: Given a binomial random variable with n = 20 and p = 0.60, find the following probabilities using…

A: The provided information is  p=0.60 n=20 P(11≤X≤14) =P(X=11)+P(X=12)+P(X=13)+P(X=14)…

Q: 7. Compare the Poisson and Gaussian approximations with the exact binomial probability when N = 50…

A:

Q: A sample of n=400 observations is drawn from a population with mean p=1,000 and o=400. Find the…

A:

Q: Let X be a discrete random variable with the following probability distribution -3 6 P(X=x) Find…

A:

Q: Let X be a binomial random variable. with parameters (n, p). Find P(X > 1) if n = 5 and p = 0.3 %3D…

A: Given,n=5p=0.3X~Binomial(n=5 , p=0.3)P(X=x)=cxn px(1-p)n-x ; x=0,1,2,.....n

Q: 2. Assume that x is a binomial random variable with n=1000 and p=0.50. Use a normal approximation to…

A: Normal approximation to binomial distribution:The pmf for the binomial distribution or the…

Q: For a binomial random variable (x) with p=.30 and n=10; what is P(x≥5)?

A: Given datap = 0.30n = 10P(X ≥ 5 ) is given byP(X ≥ 5 ) = 1- P(X &lt; 5) = 1- P(X ≤ 4)Applying…

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

A:

Q: Assume that X is a binomial random variable with n=8 and P=0.32. calculate the following…

A: Given, X is a random variable for a binomial distribution with n=8, and p=.32 The probability…

Q: Given a binomial random variable with = 10 and p = 0.25, find the following probabilities. d. P(X is…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Let x be a binomial random variable with n = 5, x = 3 and p = 0.75; find P (3) using the binomial…

A:

Q: Suppose X is binomial. If p = .9, how big does n have to be in order to use the normal approximation…

A: Question :  Suppose X is binomial. If p = 9, how big does n have to be in order to use the normal…

Q: Given a binomial random variable with n = 10 and p = 0.3, use the formula to find the following…

A: Hello there! I see that there are multiple subparts in the question. According to our policies I can…

Q: A sample of n=400 observations is drawn from a population with mean p=1,000 and o=400. Find the…

A:

Q: Let xbe a Bernoalli random variable with mean of 0.6. Find the var(2x) اختر احدى الدجابات None 0.9…

A: GivenLet X be a Bernoalli (p=0.6)

Q: < 400ml 2 400ml total Low sugar available No low sugar 45 35 80 15 105 120 Total 60 140 200

A: We use the given contingency table to find the required probability.

Q: A sample of 100 students is to be taken to determine which of two brands of beer is preferred in a…

A: Let p be the proportion of people in the general population that prefer brand A to B. As it is given…

Q: Suppose that X is an exponentially distributed random variable with A = 0.63. Find each of the…

A:

Q: Find the following probabilities for the standard normal random varible Z: A) p(-1.02<=Z<=0.22)…

A:

Q: Suppose a random variable, x, arises from a binomial experiment. If n = 22, and p= 0.85, find the…

A: Given: Probability of success (p)=0.85 Sample size (n) = 22 I will use TI-84 calculator function…

Q: Approximate the following binomial probabilities by the use of normal approximation. a. P(x< 12, n =…

A: According to the provided information, a. n = 50, p = 0.3Let X follows the binomial distribution,…

Q: 7. Suppose that X is a Poisson random variable such that P(X = 1) = P(X = 2). %3D %3D (a) What is…

A: we have given that  X ~ P(lambda) X is a discrete random variable  P(X=x)=exp^-lambda . lambda^x/x!

Q: A sample of n=900 observations is drawn from a population that is normally distributed with mean…

A: Since, the parent population follows normal distribution, the sampling distribution of the sample…

Q: Assuming that X is a binomial random variable with n = 4 and p = 0.8, find the probability for each…

A: Givenn=4p=0.8x~Binomial(n=4,p=0.8)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,..,n

Q: Let X be a random variable with probabilities as shown in Table 3.7. Table 3.7 Values of X and P(x)…

A:

Q: If X is a binomial random variable with n= 4 and p 0.18. What is P(X = 3)? %3D 0.019

A:

Q: Assume that x is a binomial random variable with n=140 and p=0.3. Use a normal approximation to…

A: From the provided information, Sample size (n) = 140 and p = 0.3 The mean and standard deviation can…

Q: Suppose a random variable, x, arises from a binomial experiment.  If n = 6, and p = 0.30, find the…

A: I will use excel formula "=BINOM.DIST(x, n, p, FALSE)" to find the probability. x n p Excel…

Q: The cumulative probabilities for a continuous random variable X are P (X 10) b. РХ» 20) c. P(10 < X<…

A:

Q: A sample of n=900 observations is drawn from a population that is normally distributed with mean…

A: Solution: From the given information, X follows normal distribution with a mean µ=1,000 and a…

Q: Suppose x is a normally distributed random variable with u=16 and o=2. Find each of the following…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: suppose x is a uniform random variable with c = 10 and d = 60. Find the probability that a randomly…

A: Uniform distribution: A continuous random variable X is said to follow Uniform distribution if the…

Q: Suppose a random variable, x, arises from a binomial experiment.  If n=6,and p=0.30, find the…

A: Given, n=6 p=0.30 P(X=1)=?

Q: Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (b) P(X >…

A: The cumulative distribution function F(x) is defined as F(x) = P(X ≤ 2) Note : According to our…

Q: Suppose X is a normal random variable with μ = 380 and 17. Find the following probabilities. (Give…

A:

Q: Let X represent a binomial random variable with n = 200 and p = 0.77. Use Excel’s function options…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A jury pool has 19 men and 25 women, from which 12 jurors will be selected. Assuming that each…

A:

Q: 2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)

A: The objective is to use the normal approximation to the binomial with parameters n=10 and p=0.5 to…

Q: A sample of n=400 observations is drawn from a population with mean p=1,000 and o=400. Find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=1,000 and a…

Q: Suppose that X is a binomial random variable withn = 200 and p = 0.4. Approximate following…

A:

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.