32. Let X have a Standard Normal Distribution. Find a such that P(X > a)A. – 0.66= 0.80511В. - 0.76С. - 0.86D. - 0.96

Given that: X is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 now…

Answered: 32. Let X have a 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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3. Find the boundary that corresponds the the probability for the standard normal distribution. (a) P(z< zo) = 0.8203 (b) P(zo < z) = 0.8997 4. Find the boundary that corresponds the the probability for the normal distribution. (a) P(x < xo) = 0.8203 when µ„ = 25 and op = 6.5 (b) P(yo < y) = 0.8997 when ly = 25 and oy = 6.5
Q8. TheRandom variable, Z ~ N(0,1). Identify the correct statements: Z is the Standard Normal variate. Z can take values from -o to +o. Pr(Zk). I. П. III. www A. I only B.I. and II. C. II and III. only. D. I. , II. and III. ww О А. А В. В О С. С O D. D
6.9 To enter the cumulative normal distribution table Þ(Z), calculate Z and Z at the spec limits. upper lower Þ(2) = 0.9772 and Þ(-2) = 0.0228, the area to the right of the USL plus to the left of the LSL is 0.0456.
Q7. In the Standard Normal distribution of Z, Z ~ N(0,1), find the Z value Zo.025 such that Pr(Z< Zo.025) = 0.025. %3D That is find on the Z axis the value for which the left had tail has an area of 0.025. Hint: Use the Excel,=NormSInv('z value') function. А. 1.96 В. 2.57 С. -1.96 D. -2.57 O A. A О В. В О С. С O D. D
Assume a distribution with mean of 50 and a standard devivation of 12. For an x-value of 65, the z-score is . (two-decimal accuracy) For a z-score of -2.3, x = . (one-decimal accuracy)
K A population has a mean μ = 134 and a standard deviation o = 26. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 59. σ- The mean is μ- =, and the standard deviation is o- = (Round to three decimal places as needed.) X Z-
The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.
The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
X ~ N(60, 14). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums.Give the distribution of X. Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X < 60) =.Find the 30th percentile.
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…
47. Let X have a Nonstandard Normal Distribution with µ = 55 and o = 8. Find P(X < 59). A. 0.68146 В. 0.69146 С. 0.70146 D. 0.71146
Assume that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees.(a) Between 0 and 1.64: (b) Between −2.89 and 0: (c) Between −1.78 and 1.03: (d) Less than −2.79: (e) Greater than 2.62:

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32. Let X have a Standard Normal Distribution. Find a such that P(X > a) = 0.80511 А. - 0.66 В. - 0.76 С. - 0.86 D. -0.96