1a.A random variable Z is normally distributed with mean 0 and standard deviation 1. It isknown that P(Z <-1.6)= a and P(z> 2.4) = b. This is shown in the following diagram.a-1.62.4Find P(-1.6 Given that z>-1.6, find the probability that z <2.4. Write your answer in terms of a and b.Show Transcribed TextA second random variable X is normally distributed with mean m and standard deviation s.It is known that P(x < 1) = a. Write down the standardized value for x = 1.Show Transcribed TextIt is also known that P(x > 2) = b. Find s.

Answered: 1a. A random variable Z is normally…

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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Find the z-score for which 62.17% of the distribution's area lies to its right. O 0.31 -0.31 O 1.12 O -1.12 A z-score must always be between what two numbers? O O and 1.0000 the z-score can be any real number -0.5000 and 0.5000 -1.000 and 1.000
K An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26=146 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 36 lb. we this O Bi 40 6 View an example Y a. Find the probability that 1 randomly selected adult male has a weight greater than 146 lb. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 lb. c. What do you conclude about the safety of this elevator? H a. The probability that 1 randomly selected adult male has a weight greater than 146 lb ist (Round to four decimal places as needed.) & 4- 7 U Get more help. J 00 이 8 - 144 ( K 9 O ► 11 L O. AA P Clear all { [ + Check answer 59°F Mostly cloudy prt sc 4 1 backspace Incorrect: 0 Actate Windows ot Settings to activate Windows. A home num 00 lock 4) (?) H 11:59 AM 10/14/2022 end 7 home 1 星

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CH7: Dr. Helen obtains a random sample of n = 14 scores from a population with o = 8. If the sample mean is 46 points smaller than the population mean, what is the z-score for the sample mean? Oa. 227.69 b. -227.69 Oc. 21.51 O d.l-21.51|| e. none of the options
Answer only b-d Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(66, 6)b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. __________c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. _____________d. 87% of all cars travel at least how fast on the freeway?__________ mph.
K- The average number of acres burned by forest and range fres in a large county is 3,800 acres per year, with a standard deviation of 550 acres. The distribution of the number of acres burned is normal a Compute the probability that more than 4,000 acres will be burned in any year b. Determine the probability that fower than 3,000 acres will be burned in any year What is the probability that between 2,500 and 3,400 acres will be burned? d in those years when more than 4,500 acres are burned, help is needed from eastern region fire teams Determine the probability help will be needed in any year CRED

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1a. A random variable Z is normally distributed with mean 0 and standard deviation 1. It is known that P(Z < -1.6) = a and P(z > 2.4) = b. This is shown in the following diagram. a -1.6 2.4 Find P(-1.6