3. In problem #1. What is the value of its standard deviation? а. Sx 8.38 %3D b. s, = 8.08 C. S = 8.00 %3D d. NOTA Ов

Q: 2. Since the mean is computed from individual observed values, each of which contains an error, the…

A: Formula is given below.

Q: Male and female populations of tortoises under 80 years old are represented by age in the table…

A: Here the given table is : Age males females…

Q: The mean and standard deviation of 200 items are found to be 60 and 20 respectively. If at the time…

A:

Q: 10. Suppose that the probability of engine malfunction during any one-hour period is p = 0.02. (a)…

A: The probability of engine malfunction during any one-hour period is p=0.02,Let X denotes the number…

Q: Suppose X~ N(4,2). What value of x is 1.5 standard deviations to the left of the mean?

A: X~N(μ=4, σ=2)We have to find value of X is 1.5 standard deviation to the left of the mean

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least_ data of…

A: According to Chebyshev's rule, within 10 standard deviations from mean, lies at least 99% of the…

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

A:

Q: 7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and…

A: Given values, μ=200σ=24n=9x¯=180

Q: A car owner determines that annual repair costs (R) can be estimated based on the number of miles…

A: Given Data: R=800+0.05M   E(M)=12000 SD(M)=2500

Q: Suppose the distribution of maximum monthly January temperatures in Sydney is normal with mean, μ =…

A:

Q: 16. A data set of candy bag weights(lbs) has a mean of 8 and a standard deviation of 6.005,…

A:

Q: What is the z-score of x when x = 2 and the mean = 5 and standard deviation = 3? а. -3.33 b. -3.0 C.…

A: From the provided information, Mean (µ) = 5 Standard deviation (σ) = 3

Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…

A: Given : Suppose that you have a X= 75 on an exam with Ú=70

Q: The marks of six students in a Mathematics test are produced : η-6, Σχ 279 and Σx= 13 093 %3D

A:

Q: Company ABC manufactures a part used in renewable energy industry. Historically, it has been…

A: It costs the Company 100 dollars to replace the part, when returned while only 36 dollars when it…

Q: The scores on a driver's test are normally distributed with a mean of 100. Find the score that is 3…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 28 X~N (100, 28)

Q: Suppose the distribution of maximum monthly January temperatures in Canberra is normal with mean, μ…

A:

Q: Suppose n> 1. Then the standard error of X-bar is the standard deviation of X. Choose the best…

A: Let the standard deviation be σ=8 and the sample size be n=4 (which is n>1).

Q: The mean of the population is 50. The standard deviation is 10. (a) What is the probablity that a…

A:

Q: In a study of speed dating, female subjects were asked to rate the attractiveness of their male…

A: Range of a data set is the difference between the minimum and maximum observations.

Q: 4. Show that mean deviation about mean is

A:

Q: For the study purpose, the mean of the observations is 148 gm and standard deviation is 17.4 gm.…

A: The coefficient of variation is calculated asCV=σμ×100%

Q: Suppose the mean monthly return on a T-Bill is 0.5% with a standard deviation of 0.58%. Sup- pose we…

A:

Q: The mean of a set of data is 238.39 and its standard deviation is 77.24. Find the z-score for a…

A: From the given information, μ=238.39σ=77.24Raw score (X) =419.9

Q: suppose the average time to fill a routine prescription at a local pharmacy is 35 minutes based on…

A: Given data,Mean μ=35sd    σ=11x=48z=?

Q: A population has a mean of u=50 and a standard deviation of 0=10. If 3 points were added to every…

A: The properties of mean are:E(X + a) = E( X ) + a * E(X+a)=E(X)+aE(aX)=aE(X)The property of variance…

Q: Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?

A: from given distribution in question,   mean :-μ=3 standard deviation :-σ=1.2 X is two standard…

Q: Stress is applied to a 20-in. steel bar that is clamped in a fixed position at each end. Let  Y =…

A: a. Given that Y/20 has standard beta distribution with E(Y)=10 and V(Y)=100/7. Consider,…

Q: A random variable X has a mean of 120 and a standard deviation of 15. A random variable Y has a mean…

A: Given that, X¯ = 120σX = 15Y¯ = 100σY = 9 X and Y are independent

Q: a) Find the average time until you get the flu shot after it is available. b) Find the standard…

A: Suppose the number of days it takes you to get a flu shot after it is available follows this…

Q: A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation…

A: Given, For a score of X = 58, Zold = (58 - 55) / 6 = 0.5 Znew = Zold (x - 50) / 10 = 0.5 or, x…

Q: 46. The coefficient of correlation between ages of husbands and wives in a community was found to be…

A:

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!