value 10250 kg/day/km and a coefficient of variation of 44 %. 1. What is the probability that D is at least 15050 kg/day/km? 2. Does the probability of D greater than the mean of the distribution [P(D)>mea 3. What is the 90th percentile of D?

Q: You manage a risky portfolio with E(r) =18% and o = 28%. The T-Bill rate is 8%. Suppose that your…

A: Question 1) Given that - Manage a risky portfolio with E(r) =18% and o = 28%. The T-Bill rate is…

Q: 18. For a population with a standard deviation of o = 12, a score of X = 115 corresponds to z…

A:

Q: Empirical research on stock market data for two consecutive trading days indicates that 40% of the…

A: a) Consider that π is population proportion of 600 stocks that went up yesterday that will go up…

Q: Suppose students' exam scores are normally distributed with mean u = 65 and standard deviation O =10…

A: From the provided information, Mean (µ) = 65 Standard deviation (σ) = 10 Let X be a random variable…

Q: Q4. The heat evolved in calories per gram of a cement mixture is approximately normally distributed.…

A: Given, μ = 100σ = 2We wish to  test H0: μ = 100 vs Ha: μ ≠ 100 with a sample of n = 7 specimens.To…

Q: X is a normally normally distributed variable with mean µ = 30 and standard deviation o = 4. Find a)…

A:

Q: 1. X is a normally normally distributed variable with mean p = 30 and standard deviation o = 4. Find…

A: Given X~N(μ=30, σ=4) We have to find following probability  a) P(x<40) b) P( x>21) c) P(…

Q: Q.2 Erhe average grade for an exam is 74, and the standard deviation is 7. If 12% of the class is…

A: Given: μ = 74 σ = 7 Let X denote the grades and it is given that the grades follow normal…

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A: From the provided information, Mean (µ) = 40 Standard deviation (σ) = 10 X = 55

Q: r. If the 17. A walk at 4 miles per hour burns an average of 300 calories standard deviation of the…

A: Given: μ = 300 σ = 8

Q: Q.1 The magnitude of earthquakes recorded in a region of North America can be modeled as having an…

A: Given data: Exponential distribution with mean = 2.6

Q: Q3 with a mean value of of ux = 1300 kN and a coefficient of variation of ôx = 0.20. The capacity…

A: Given that, the mean of the distribution is 1300 KN and the coefficient of variance is 0.2 Use the…

Q: a. The mean of this distribution is b. The standard deviation is c. The probability that wave will…

A: It is given that the times from when a person arrives at the shoreline until a crashing wave is…

Q: x is a normally normally distributed variable with mean µ = 21 and standard deviation o = 4. Find…

A:

Q: X is a normally distributed variable with a mean of 12 and a standard deviation of 2. Find the P(X s…

A:

Q: The profits of a mobile company are normally distributed with Mean of R.O (19 x 10) and standard…

A: Solution: c. Let X be the profit of a mobile company. From the given information, X follows normal…

Q: ind the indicated probability or percentage for the normally distributed variable. Assume that the…

A: Given data,μ=5.6σ=0.070P(5.48<X<5.82)=?

Q: X is a normally normally distributed variable with mean p = 30 and standard deviation o = 4. Find…

A: Solution-: Given: μ=30,σ=4 We find the following probabilities (a) P[X<40]=? (b) P[X>21]=? (c)…

Q: (a) Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random…

A:

Q: Body temperatures of healthy humans are distributed nearly normally with mean 98.2°F and standard…

A: Given Mean, μ=98.2SD, σ=0.73

Q: ind the probability that a voice recorder will last between 2.8 and 6 years. Find the 70th…

A: Let X denote the voice recorder and it follows normal distribution with mean of μ=4.1 years and…

Q: Suppose that x has a normal distribution with mean ? = 50 and standard deviation ? = 5. Find P(x >…

A:

Q: (c) Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of…

A: c. Given information, IQ scores are normally distributed with mean of 100 and a standard deviation…

Q: Empirical research on stock market data for two consecutive trading days indicates that 60% of the…

A: Given:

Q: A variable x is normally distributed with a mean 21 and standard deviation 6. Round your answers to…

A: Z is also called as standard normal variate with mean 0 and standard deviation 1 .  Z -score is…

Q: The mean of an exponential distribution is 15. Then the standard deviation of the distribution is a.…

A:

Q: Suppose that the blood alcohol content of students who drink five beers varies from student to…

A: The mean and standard deviation are 0.07 and 0.01.

Q: The diameter X in inches of a certain brand of tennis balls has normal distribution with mean μ =…

A: Given:  X ~ N(μ = 2.65,  σ 2= .0182)   Part a: Since acceptable balls have diameters between 2.62…

Q: Which of the following are true when calculating z-scores for a distribution of numbers?    Select…

A: Here use basic of standard normal distribution  Standard normal distribution have Mean zero and…

Q: A normal distribution has a mean of µ = 30 with σ = 5. If a vertical line is drawn through the…

A: Given that vertical line is at X=39, draw the normal curve (Bell-shaped curve) and shade the area to…

Q: The distribution of scores on the SAT is approximately normal with a mean of m = 500 and an SD of s…

A: Given: Mean (m) = 500, SD (s) = 100 Let X is the scores on the SAT which is normally distributed.

Q: 6. A population has a mean of u = 80 and a standard %3D deviation ofo = 20. a. Would a score of X =…

A: We have given that,  For part (a)  Let X be random variable from normal distribution with mean (μ) =…

Q: (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal…

A: Let p be the proportion of people who experience withdrawal symptoms. Given that p = 0.02 and sample…

Q: A normal distribution has a mean of u= 80 with a= 20. What score separates the lowest 30% of the…

A:

Q: X P(x) 0.15 1 0.25 2 0.3 3 0.3 Find the standard deviation of this probability distribution. Give…

A:

Q: e. Let the sample mean approximate u? And the sample standard deviation approximate o? The…

A:

Q: scores of the students are normally distributed with a mean of 85 and a standard deviation of 4.…

A: Given that.   X~N( μ , ?^2 )   μ= 85    , ?=4   , X=72   Z-score =( x - μ )/?

Q: a. The mean of this distribution is b. The standard deviation is c. The probability that wave will…

A: Given:  Let x be the time from a person arrives at the shoreline untill a crashing wave is observed…

Q: 6. A population of scores has u = 44. In this population, a score of X = 40 corresponds to z =-0.50.…

A: GivenMean(μ)=44x=40z=-0.50

Q: In a normal distribution, x = 5 and z = –1.4. This tells you that x = 5 is ____ standard deviations…

A: Given that  Z-score = -1.4 and x=5

Q: If X is normally distributed with mean of 60 and standard deviation of 5. What is the P(55<X<65)?…

A: From the provided information, Mean (µ) = 60 Standard deviation (σ) = 5

Q: d) A students with a score higher than 50% of those taking the exam has a score of... e) A students…

A: 1. d) The random variable X is defined as the scores on a mathematic exam which follows normal…

Q: X = 45.3 s = 7.9 %D

A: The confidence interval for a normal curve is given by,  Confidence Interval=x¯ ± Zsn,where, x¯…

Q: he population of weights of a particular fruit is normally distributed, with a mean of 758 g andard…

A: Given data,Mean μ=758sd    σ=39If n=6P(X&gt;x)=2%x=?

Q: x is a normally normally distributed variable with mean µ = 21 and standard deviation o = 4. Find…

A:

Q: (d) Find the standard deviation of y (e) Find the expected value of X = 2y + 3

A: To find value of k,∑py=1⇒k6-2+k6-3+k6-4+k6-5=1⇒k4+k3+k2+k1=1⇒3k+4k+6k+12k12=1⇒25k12=1⇒k=1225⇒k=0.48

Q: 15. A sample has a mean M = 75. In the sample, a score of X = 95 corresponds to z = 2.5 What is the…

A: If x ~ N (μ , σ2) , then the standard normal variate z score formula is defined as…

Q: The variable X is normally distributed. The mean is u = 15.2 and the standard deviation is o = 0.9.…

A: # Given: random variable x follow normal distribution with mean mu=15.2,&amp; standard…

Q: Suppose X follows an exponential distribution. It is known that P(X > 4) = e−2.5. What is the…

A: Exponential distribution: A continuous random variable X is said to follow exponential distribution…

Q: Suppose that x has a normal distribution with mean ? = 50 and standard deviation ? = 7. Find P(x >…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is 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!