Given the normally distributed random variable X with mean 15 and P(X>24)=0.121 , find the variance. 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359 0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753 0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141 0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517 0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879 0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 7157 .7190 .7224 0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549 0.7 .7580 .7611 .7642 .7673 7704 .7734 .7764 .7794 .7823 .7852 0.8 .7881 .7910 .7939 7967 .7995 .8023 .8051 .8078 .8106 .8133 0.9 .8159 .8186 8212 .8238 .8264 .8289 .8315 .8340 8365 .8389 1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621 1.1 .8643 8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830 -1.6 .0548 -1.5 .0668 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0465 .0455 .0655 .0643 .0630 .0618 .0606 .0594 .0532 .0571 .0559 -1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681 -1.3 .0968 -12| .1151 -1.1 .1357 .0951 .0934 .0918 .0901 .0885 .0869 .0853 .0838 .0823 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170 Select one: a.1.17 b.59.17 C.-1.17 d.7.69 e.0.879

Q: A population value has a normal distribution with μ=245.4 and σ=76.4. A random sample of size n=231…

A: The probability that a single randomly selected value is between 238.4 and 251.4 can be calculated…

Q: A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.22…

A: σ2=0.015,n=30,s=0.0744,α=0.05

Q: population is normally distributed. Complete parts (a) through (e) below. nts O A. Ho: o+1.11 OB.…

A: Solution

Q: A doctor believes that the variance of systolic blood pressure is 470. A random sample of 20…

A: Given that the confidence level is 0.95. The significance level is 0.05 The degrees of freedom is,…

Q: A snack food manufacturer estimates thất thế claim and finds that a random sample of 22 servings has…

A:

Q: Suppose you have a population of size N = 500 with elements x1 = ..., x230 ... = x500 = 0. Let…

A: ANSWER:-

Q: A synoptic uses Bernoulli random variable X to describe the weather conditions within one year…

A:

Q: A bolt manufacturer wants to investigate the machine that produces bolts with a diameter of 0.26…

A: The sample size is 20 with a standard deviation of 0.2475.

Q: 35 - 65 e 24 /24F 91 99 110 91 144 176 80 86 124

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Sample X has a size of 6 and a variance of 2.3. Sample Y has a size of 10 and a variance of 0.6.…

A:

Q: Letx represent the average annual salary of college and university professors (in thousands of…

A: It is given that  Sample size n = 13 Sample variance s2 = 84.2 Level of significance = 5% Note :…

Q: Let x represent the number of mountain climbers killed each year. The long-term variance of x is…

A: σ2=136.2s2=109.2α=0.01

Q: A population of values has a normal distribution with μ=248.6�=248.6 and σ=97.6�=97.6. You intend to…

A: μ=248.6σ=97.6n=246

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A:

Q: X is a normally distributed random variable with a standard deviation of 3.50. Find the mean of X…

A:

Q: Let x represent the number of mountain climbers killed each year. The long-term variance of x is…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given  σ2=1.36, n=16, s2=1.27, ɑ=0.01

Q: The random variable Y has the Poisson distribution with a mean of 50. (a) What is the variance of Y?…

A: Let Y have a Poisson distribution with a mean of 50.The PMF of Poisson distribution with a mean of…

Q: A random sample of size 25 is selected at random from a normal distribution with mean 20  and…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: In this context, the aim is to test whether the variance of the number of grams of carbohydrates in…

Q: In a test of hypothesis, the null hypothesis is that the population variance is equal to 5.4 and the…

A: It is given that Population standard deviation = 5.4Sample standard deviation = 11.84Sample size =…

Q: Assume the random variable X is normally​ distributed, with mean μ=59 and standard deviation σ=9.…

A: Solution: From the given information, X follows normal distribution with mean µ=59 and a standard…

Q: if X is a normal random variable with mean u = 3 and variance 62 = 16, find P(X >3), P(X>-1)

A: Mean=3, variance=16

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Consider that σ2 is the population variance of the number of grams of carbohydrates in serving of…

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Given data : sample size, n = 22 population variance,σ^2= 1.39 sample…

Q: suppose random variable x has a normal distribution with a mean of 10 and a variance of 16.…

A: Given that X follows a normal distribution with mean=10 and variance=16. So standard…

Q: Determine the mean (ux), variance (a² x) and standard deviation (ax) of each. (Show your solution)…

A: According to policy we supposed to answer first question for remaining please repost the question.

Q: For a sheet-metal stamping machine in a certain factory, the time between failures, X, has a mean…

A:

Q: In a test of hypothesis, the null hypothesis is that the population mean is equal to 32 and the…

A: Given that,population mean() = 32sample size (n) = 40Sample mean () = 32.75Standard deviations (s) =…

Q: Given that a random variable x is normally distributed with mean 3.5 and variance 15. Using standard…

A: Given Information: x is normally distributed with mean 3.5 and variance 15. Hence, The standardized…

Q: Find the F-test statistic to test the claim that the variances of the two populations are equal.…

A: Sample 1 S.D= s₁ = 2.1461 Sample 2 S.D= s₂ = 2.5122

Q: The shape of the T-distribution curve is wider than the normal curve because, O a. it has more…

A: If population standard deviation is known and large sample size i.e, n > 30 then we use z-…

Q: 2) A random sample of 5 table tennis balls is selected and the diameter (in mm) of each table tennis…

A:

Q: A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in…

A: Introduction: Denote the true population variance of the amount of carbohydrates (grams) in servings…

Q: The time it takes to bake a Blueberry Muffin is normally distributed with a mean of 45 minutes and a…

A: Given that , The time it takes to bake a Blueberry Muffin is normally distributed with a mean of 45…

Q: The number of cracks that need repair in a section of interstate highway follows a Poisson…

A: For a discrete random variable X ~P(m) the pmf is given as :   P(X=x) = e-mmxx!      , x=0,1,2,3,...…

Q: the area representing P (Y <3) D -3 -2 -1 0 2 3

A: Mean=4, Variance=16

Q: If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high…

A: Given,sample size(n)=15standard deviation(s)=0.008α=0.01H0:σ=0.01H1:σ&gt;0.01

Q: Let X be a random variable with mean u= E(X) = 10.33 and variance o = 12.81. Determine: E{10- E 10-…

A: In question, We have given that X is random variable and E(X) = 10.33 and sigma^2 = 12.81. Then…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!