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...
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 30% of all corporations are publicly traded. We want to figure out the probability that in a sample of 500 companies, there are between 134 to 152 publicly traded companies. Which one of the following Normal approximation is the answer? (Hint: Don’t forget...
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The normal-curve approximation can also be used for discrete distribution other than the binomial distribution. For instance, it is reasonable to use this approximation if the Poisson distribution has a parameter greater than 30. This approximation uses as the mean and as the standard deviation. Suppose that the number of false alarms received weekly by the fire department of a large city follows a Poisson distribution with = 45. In any given week, find the probability that a) There will...
a probability distribution X ∼ N(30,5) (that is, X has a normal distribution with mean 30 and standard deviation 5) Use the empirical rule to find an approximation for P (20 < X < 40)
(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