Suppose Z follows the standard normal distribution. Calculate the following probabilities usingthree decimal places.(a) P(Z > -1.87)= .969(b) P(Z ≤-1.75) = .040(c) P (0.74 < Z <2.11) =ContinueNOV29XCDE101W© 202

standard normal ditributionX~N(0,1)here μ=0and σ=1 we have to find out the given probabilties for…

Answered: Suppose Z follows the standard normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability that the variable takes a value less than -0.9 or greater than 0.5 is: Select one: P(Z < -0.9 or Z > 0.5) = 0.5074 P(Z < -0.9 or Z > 0.5) = 0.1915 P(Z < -0.9 or Z > 0.5) = 0.3159 P(Z < -0.9 or Z > 0.5) = 0.4926
Find each of the probabilities, where z is a z-score from the standard normal distribution with mean of p =0 and standard deviation o = 1. Round to four decimal places, if necessary. P(z 0.39) = P(0 < z< 2.56) = P(-2.72
If the variable Z is normally distributed with mean equal to 0 and standard deviation equal to 1. The probability that the variable takes a value less than 0.57 or greater than 1.05 is: Select one: P(Z < 0.57 or Z > 1.05) = 0.4312 P(Z < 0.57 or Z > 1.05) = 0.5688 P(Z < 0.57 or Z > 1.05) = 0.1375 P(Z < 0.57 or Z > 1.05) = 0.8625
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Suppose that X follows a binomial distribution with n = 100 and p = 0.1. If F(x) is the cumulative distribution function of the Standard Normal distribution. Then using the Normal approximation, the probability P(X = 16) is obtained by O a. F(2.17) - F(1.83) O b. F(1.83) - F(2.17) O c. F(16.5) + F(15.5) O d. F(17.0) - F(15.0)
Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.3 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 3.3 seconds after the person arrives is P(x = 3.3) = d. The probability that the wave will crash onto the beach between 1.9 and 2.3 seconds after the person arrives is P(1.9 3.26) = f. Find the minimum for the upper quartile. seconds.
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A Poisson distribution with A = 7.4 and æ = 6. Use the probability distribution identified above to calculate the following: a. The probability P(x) for the indicated value of x. P (6) =| Round to 3 significant digits b. The mean and standard deviation of the distribution. Mean (и) SD (0) Round to 3 significant digits
Let X be normally distributed with mean = 3.3 and standard deviation o=1.8. a. Find P(X> 6.5). Note: Round your final answer to 4 decimal places. P(X> 6.5) b. Find P(5.5 ≤ x ≤7.5). Note: Round your final answer to 4 decimal places. P(5.5 ≤ x ≤ 7.5)
Today, the waves are crashing onto the beach every 4.9 seconds. The times from when a person until a crashing wave is observed follows a Uniform distribution from 0 to 4.9 seconds. Round to 4 decimal places where possible. c. The probability that wave will a. The mean of this distribution isb. The standard deviation is crash onto the beach exactly 1.8 seconds after the person arrives is P(x-1.8) wave ill crash onto the beach between 1 6 and 1.8 seconds after the person arrives is P(1.6 x1.8) The probability that it will take longer than 1.88 seconds for the wave to crash onto the beach after the person arrives is P(x 188)- wave crashing in. Find the probability that it will take between 2.1 and 3.6 seconds for the wave to crash onto the d. The probability that the f. Suppose that the person has already been standing at the shoreline for 1 seconds without a g, 35% of the time a person will wait at least how long before the wave crashes in? shoreline seconds. h. Find the minimum for the…
Let Xbe normally distributed with mean u=2.5 and standard deviation o = 1.8. [You may find it useful to reference the z table.] a. Find PX> 6.5). (Round your final answer to 4 decimal places.) P(X>6.5) b. Find A5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) b. Find P5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) d. Find x such that P(xs Xs 2.5) = 0.1255. (Negative value should be indicated by a minus sign. Round your final answer to 3 decimal places.)
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.2 and 3.8 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that fawn will weigh exactly 2.4 kg is P(x = 2.4) = The probability that a newborn fawn will be weigh between 2.9 and 3.7 is P(2.9 < x < 3.7) = The probability that a newborn fawn will be weigh more than 2.72 is P(x > 2.72) = P(x > 2.8 | x < 3.5) = Find the 25th percentile.

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Suppose Z follows the standard normal distribution. Calculate the following probabilities us three decimal places. (a) P(Z > -1.87) = .969 (b) P(Z ≤ -1.75) = .040 (c) P (0.74