Suppose X has the B(20, .05) distribution. Using the Normal approximation for X with the continuity correction, the P(X<6) IS ____.
Suppose X has the B(20, .05) distribution. Using the Normal approximation for X with the continuity...
Suppose that x has a binomial distribution with n = 50 and p = .6, so that μ = np = 30 and σ = np(1 − p) = 3.4641. Calculate the following probabilities using the normal approximation with the continuity correction. (Hint: 26 < x < 36 is the same as 27 ≤ x ≤ 35. Round your answers to four decimal places.) (a) P(x = 30) (b) P(x = 26) (c) P(x ≤ 26) (d) P(26 ≤ x ≤ 36) (e) P(26...
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: ______
+ 6 The giren values are discrete. Use the the region of the normal distribution probability. The probability of continuity that at least correction and describe corresponds to the indicated 44 boys 5. for the binomial distribution with the given Vulwes for in and p. stat whether or not it is suitable to use the normal distrib as an approximation n = 20 and p=0.a
Question 7 6 pts . If a continuous randaom variable X has a bell curve (normal distribution with mean 5 and variance 25, using the z table I gave you, find P(X < 5) Note X is continuous, X<5 same as X < =5 ) If a discrete randaom variable X has a approximate bell curve (normal) . distribution with mean 5 and variance 25, using the z table I gave (Here X<5 is not the same as X you,...
please show work 3. Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for p = 0.8, and compare to the exact probabilities calculated from Appendix Table A.1. (b) P(X15) (a) P(15X 20) (c) P(X 20).
Additional Problem 6. Suppose that a sample of n 120 tires of the same type are obtained at random from an ongoing production process in which 5% of all such tires produced are defective. Let X denote the number of defective tires in a sample. Compute the probability that at least 6 tires in a sample are defective by (a) using the exact distribution of X; (b) using the normal approximation with continuity correction; c) using the Poisson approximation. Additional...
Topic: Normal approximation to binomial distribution Calculate the following probabilities using a normal approximation. P(9 ≤ X ≤ 12) where X ∼ B(21, 0.5) Please show work as I will studying it step by step, thanks.
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)
Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Estimate P(6) for n = 18 and p = 0.4 Group of answer choices a) 0.8513 b) 0.1608 c) 0.1015 d) 0.1958
Let X have a binomial distribution with parameters n 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p-0.5, 0.6, and 0.8 and compare to the exact binomial probabilities calculated directly from the formula for b(x;n, P). (Round your answers to four decimal places) (a) P15 s X 20) P P(1S s Xs 20) P(14.5 S Normal s 20.5) 0.5 0.6 0.8 The normal approximation of P(15 s X...