Assume a normal distribution and find the following probabilities.(Round the values of z to 2 decimal places, e.g. 1.25. Round your answers to 4 decimal places, e.g. 0.2531.)(a) P(x < 20|µ= 23 and o = 3)%3D(b) P(x > 40|µ = 30 and o =7)(c) P(x > 25 |µ= 30 and o = 5)(d) P( 16 < x < 22|µ = 21 and o = 3)(e) P(x > 75|µ= 60 and o = 2.89)

According to bartleby policy I have solved first three subparts of this question. I hope it will…

Answered: Assume a normal distribution and find…

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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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)
Disc Brake pads has a Normal distribution with a mean µ = 50,000 miles but with some unknown standard deviation σ . In a sample of n =16 pads is tested for their ‘life-times’ yield S = 2500 as the sample estimate σ . What is the probability that the sample average X16 exceeds 49,000 miles, Pr( 49,000)=_________
arn.squ.edu.om/mod/quiz/attempt.php?attempt=1766808&cmid=8751228&page=D21 SYSTEM (ACADEMIC) s Statistics 1 || Spring21 Time left 0: Suppose a company produces lightbulbs with a mean lifetime of 1000 hours and a standard deviation of 50 hours. So, the z-score for a particular lightbulb that lasts for only 700 hours is a. 300 b. 6
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A normal distribution has μ = 30 and σ = 5. (a) Find the z score corresponding to x = 25. (Enter an exact number.) (b) Find the z score corresponding to x = 44. (Enter a number.) (c) Find the raw score corresponding to z = −3. (Enter an exact number.) (d) Find the raw score corresponding to z = 1.5. (Enter a number.)
Let the test statistic T have a t distribution when Ho is true. Give the P-value for each of the following situations. (Round your answers to three decimal places.) USE SALT (a) Ha: μ> Mo, df = 15, t = 2.864 P-value = 0.983 X (b) Ha: μ< μo, n = 24, t = 2.234 P-value = (c) H₂:μμ₁, n = 31, t = -1.691 or t = 1.691 P-value =
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Assume that females have pulse rates that are normally distributed with a mean of μ=72.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts (a) through (c) below a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 76 beats per minute. The probability is enter your response here. (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 76 beats per minute. The probability is enter your response here. (Round to four decimal places as needed.)
Q.7 For an exponential distribution fx(x; p) = (ue H, x20 %3D e. w. where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. E(X). (b) Standard deviation, i.e. S.D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizv

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