Stereo speakers are manufactured with a probability of 0.15 being defective. Ten speakers are randomly selected. Let the random variable X be defined as the number of defective speakers.   Find the expected value and the standard deviation.   Expected Value​ =   Standard Deviation​ =

Q: The average salary for a certain profession is $63,000. ASsume that the standard deviation of such…

A: Let X be the salaries of the profession. The mean and standard deviations of X are $63000 and $34500…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…

A: Given that: n1=13n2=28 Population means of both counter are equal i.e., μ1=μ2=4 Population standard…

Q: World class runners complete a marathon in an average of 145 minutes with a standard deviation of 14…

A: From the provided information, Mean (µ) = 145 minutes Standard deviation (σ) = 14 minutes Let X be a…

Q: During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the…

A:

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: Given Data: μ=4σ=0.9n=10

Q: Money people carry into the store is normally distributed with a mean of $258 dollars and a standard…

A: GivenMean(μ)=258standard deviation(σ)=35sample size(n)=76

Q: A quart of Parker's milk contains a mean of 39 grams of butterfat, with a standard deviation of 2…

A: Mean = 39 Standard deviation = 2

Q: Giselle is a personnel manager in a large corporation. Each month she must review 36 of the…

A:

Q: Ava's morning routine is normally distributed and independent. She has been tracking her time from…

A: Let X and Y are the first and second mornings. It is given that X and Y are independent and…

Q: Suppose you have a distribution, X, with mean = 15 and standard deviation = 6. Define a new random…

A: It is given that  Mean of X, E(X) = 15 Standard deviation of X, SD(X) = 6 Variance of X, Var(X) = 62…

Q: A fair coin is flipped seventy times and the number of heads that occur is noted. A random variable…

A: Given Data; X is the number of heads   p=0.5 n=70   X~ Binomial (70, 0.5)

Q: The average GPA at a college is 2.79 with a standard deviation of 0.6. Find the probability that 7…

A: Let X, be the random variable of average GPA at a college follows Normal distribution with a mean…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: The random variable X is the largest number landed when two fair dice are rolled. The standard…

A: Sample space: The set of all possible outcomes of a probability experiment is called sample space of…

Q: IQ scores for students at a prestigious university are normally distributed with a mean of 110 and a…

A:

Q: The monthly utility bills in a city are normally distributed with a mean of $100 and a standard…

A:

Q: A voin is tossed four times. Let x denote the number of heads. Find the mean and standard deviation…

A: A coin is tossed four times. The  denotes the number of heads.

Q: For a normal random variable with mean 650 and standard deviation 40, find the probability that its…

A: Given information- Population mean, μ = 650 Population standard deviation, σ = 40 Let X be the…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…

A: a) Define a random variable X, that is the time to review.

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!