The number of daily visitors to a website (X) has a normal distribution with an average value of u=200 and a standard deviation of 50, and Z is a standard normal variable, so:    P( X < 150)= P(Z < 1,0) /other  P(X < 150)= P(Z< -1,0)  P( X < 150) = P(Z > - 1,0)

Q: About % of the area under the curve of the standard normal distribution is between z=−2.803z= and…

A: Explanation:Here taken the given between values and finded the z-score value Final answer is…

Q: Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance.…

A: GivenX has a continuos uniform distribution over the interval (-1,1)The corresponding density…

Q: About % of the area under the curve of the standard normal distribution is between z=−2.163z=-2.163…

A: 96.95%

Q: If X ~B(60,0.18), use the normal distribution to approximate the binomial distribution for: (i)…

A: Given, X ~B(60,0.18) i.e., n=60 p=0.18 P(X=10)=?

Q: The random variable X has a normal distribution: X ~ Normal(54,8). Find the following: (a) P(X >…

A:

Q: About % of the area under the curve of the standard normal distribution is between z=−2.713z=-2.713…

A:

Q: Q3/A/ Let X be a r.v with p.d.f f(x) =;e-lkl - 00 <x < 0, then the value of variance of X is

A: 3. Given information: It was stated that X is a random variable and the probability density function…

Q: Suppose that the random variable X has a lognormal distribution with parameters - = 0 and w? = 4.…

A:

Q: A portfolio has an expected rate of return of 0.15 and a standard deviation of 0.15. The risk-free…

A: Risk tolerance refers to the amount of risk an investor is willing to take achieve an investment…

Q: engineer who is studying the tensile strength of a steel alloy intended for use in golf afts knows…

A: Given that  Sample size n =25 Standard deviation s=25 Sample mean=3490

Q: Suppose that f (x) = e* for 0 < x Determine the mean and variance of the random variable.

A:

Q: A normal distribution has μ = 32 and a = 5. (a) Find the z score corresponding to x = 27. (Enter an…

A: Given that  X~N (μ = 32  , σ = 5) μ= 32  , σ = 5 Formula for Z-score Z=(X-μ)/σ

Q: The measurement of the distance to a certain object is accompanied by systematic and random errors.…

A: Let X be the total error made in measuring the distance.Its systematic error is x¯=50 m The…

Q: normal distribution has population mran= 375 and standard deviation= 35. (a) Find the z score…

A: Given ,mean (μ)=375standard deviation(σ)=35

Q: The average weight of a Coastal male Grizzly Bear is approximately normal with E(x); =795 pounds and…

A:

Q: A normal distribution has u = 30 and o = 5. (a) Find the z score corresponding to x = 25. (b) Find…

A:

Q: The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ>…

A: Let us define X as the life of a concrete built on the seashore has a Weibull distribution with…

Q: If it is known that the average value (u) of computer battery life after recharge is 12 hours and…

A: Given that, it is known that the average value (x) of computer battery life after recharge is 12…

Q: Find E(X^2) when random variable X has normal distribution with mean(µ) = 7 and standard deviation

A: Given information: mean(µ) = 7 and standard deviation(σ) = 4. That is, μ=EX=7σ=4⇒σ2=42=16

Q: About % of the area under the curve of the standard normal distribution is between z=−0.878z=-0.878…

A: Solution-: We find % of the area under the curve of the standard normal distribution is between…

Q: A normal distribution has μ = 24 and σ = 5. (a) Find the z score corresponding to x = 19. (b) Find…

A:

Q: The heights (x) of students are normally distributed with mean 152 cm and standard deviation 30 cm,…

A: normal distribution μ = 152 cmσ = 30 cmP(x&lt;140) = ?

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

A:

Q: Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of…

A: Answer:- Let, X be a random variable represents the heart beat per minute (bpm) of adult males.…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: An environmentalist estimates that the mean amount of waste recycled by adults in the United States…

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Q: Statistical information on the annual maxima (i.e., annual maximum floods) for a river is summarized…

A:

Q: The heights (x) of students are normally distributed with mean 154 cm and standard deviation 34 cm,…

A: normal distribution μ = 154 cmσ = 34 cmP(x&lt;136) = ?

Q: how that the variance of a geometric random variable X; is given by V ar(X) = q/p^2 .

A:

Q: If X is a random variable having a normal distribution with the mean μ and standard deviation σ, how…

A: Let X be a continuous random variable having a normal distribution with the mean μμ and standard…

Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100…

A: The probability that a randomly selected adult has in IQ between 84 and 116 is obtained below:Let X…

Q: EZ = X +Y if X,Y are

A: X follows normal distribution with mean 0 and variance 1. Y follows normal distribution with mean 0…

Q: The distribution of certain test scores is a nonstandard normal distribution with a mean of 80 and a…

A: According to the provided information, we have Mean = 80 Standard deviation = 9 Nonstandard normal…

Q: Suppose X is a random variable of a normal distribution with E(X)=2 and Var(X)=4. Find P(X<4)

A:

Q: normally distributed with 0 for the mean and 1 for the standard deviation, what is the probaility…

A: Use the standard normal table to find the required probability.

Q: Suppose X is a non-standard normal variable, with a mean of 118, and std deviation of 15 (i.e.…

A: Given: X~N(118,15) and Z~N(0,1).