Suppose X has the B(100, 0.6) distribution. When use the normal approximation method to solve it, the new normal distribution's standard deviation's value equals: ______
here n = 100 and p =0.6
while using normal approximation,
standard deviation = sqrt(p*(1-p)/n)
= sqrt(0.6 * 0.4/100)
= 0.049
Suppose X has the B(100, 0.6) distribution. When use the normal approximation method to solve it,...
Suppose X has the B(20, .05) distribution. Using the Normal approximation for X with the continuity correction, the P(X<6) IS ____.
A. Random variable X has a binomial distribution, B(36, 0,5). Use the normal approximation, Compute P[15Kx<19)- B. Random variable X has a normal distribution, N(50, 100) Compute P(X < 41 or X>62.0)
(b) For n = 100, give an approximaation for P(Y> 100) (c) Let X be the sample mean, then approximate P(1.1< 1.2) for -100. 2. Consider a random sample XX from CDF F(a) 1-1/ for z [1, 0o) and zero otherwise. (a) Find the limiting distribution of XiI.n, the smallest order statistic. (b) Find the limiting distribution of XI (c) Find the limiting distribution of n In X1:m- 3. Suppose that X,,, are iid. N(0,o2). Find a function of T(x)x...
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to answer parts a through d. a. what are the mean and standard deviation for this distribution? b. what us the probability of exactly 16 successes? c. what is the probability of 14 to 25 successes? d. what is the probability of 12 to 20 successes?
(b) Suppose that the random variable X has a normal distribution with mean μ and standard deviation σ. Which of the following is correct about the value x-μ+.28ơ i. The z-score of x is-0.58. ії. x is approximately .61 standard deviations above the mean. iii. There is approximately 39% chance of getting a value that is larger than x. iv. There is approximately 61% chance of getting a value that is larger than T v. r is approximately the 39th...
*************[[[[[[[[[[[[[[Solve parts a,b and c using Poissons distribution as an approximation of Binomial distribution]]]]]]]]]]]]]]************* Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X denote the number of parts in the sample of 20 that require rework. A process problem is suspected if X exceeds its mean by more than 3 standard deviations. (a) If the percentage of parts that require rework remains at 1%, what is the...
Suppose X has a symmetric continuous probability distribution with E(X)=82, and P(X>100) =0.2, what is P(64<X<100)? (Hint: Remember E(X) or expected value of X, is the average of X) A. 0.2 B. 0.3 C. 0.4 D. 0.6
Do not use normal approximation method. The question is asking for exact binomial distribution method. Ans: 95%CI=(0.51,0.91) 3. In class we analyzed data on whether taller US presidential candidate won the election. Analyze the data for 1932-2012 below (note: Mitt Romney is 1 inch taller than Barrack Obama). Frequency 15 taller shorter construct 95% confidence interval for the proportion that taller US presidential candidates won the election based on exact binomial distribution. Show your work.
Use the normal approximation to the binomial distribution to answer this question and save your answer up to 4 decimal points. Suppose that twenty percent of students who finish high school do not go to college. Now consider a sample of 100 high school students, the probability that fourteen or fewer will not go to college is [__].
Suppose Z and X are continuous random variables such that Z has a standard normal distribution and X = 5% + 10. a. Compute P(7 < X < 17). [6] b. What are the expected value E(X) and variance V(X) of X? [6] c. What kind of distribution does X have? [3]