Given a random variable X having a normal distribution with μ=50, and σ =10. The probability...

Given a random variable X having a normal distribution with μ=50, and σ =10. The probability that Z assumes a value between 45 and 62 is: ___________.

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orchestra answered 1 year ago

We have a normal probability distribution for variable x with μ = 24.8 and σ =...

We have a normal probability distribution for variable x with μ = 24.8 and σ = 3.7. For each of the following, make a pencil sketch of the distribution & your finding. Using 5 decimals, find: (a)[1] PDF(x = 30); [use NORM.DIST(•,•,•,0)] (b)[1] P(x ≤ 27); [use NORM.DIST(•,•,•,1)] (c)[1] P(x ≥ 21); [elaborate, then use NORM.DIST(•,•,•,1)] (d)[2] P(22 ≤ x ≤ 26); [elaborate, then use NORM.DIST(•,•,•,1)] (e)[3] P(20 ≤ x ≤ 28); [z‐scores, then use NORM.S.DIST(•,1)] (f)[1] x* so that...

Let z denote a random variable having a normal distribution with μ = 0 and σ...

Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z < 0.2) = (b) P(z < -0.2) = (c) P(0.40 < z < 0.86) = (d) P(-0.86 < z < -0.40) = (e) P(-0.40 < z < 0.86) = (f) P(z > -1.24) = (g) P(z < -1.5 or z > 2.50) =

Let z denote a random variable having a normal distribution with μ = 0 and σ...

Let z denote a random variable having a normal distribution with μ = 0 and σ = 1. Determine each of the following probabilities. (Round all answers to four decimal places.) (a) P(z < 0.1) = (b) P(z < −0.1) = (c) P(0.40 < z < 0.85) = (d) P(−0.85 < z < −0.40) = (e) P(−0.40 < z < 0.85) = (f) P(z > −1.25) = (g) P(z < −1.5 or z > 2.50) = Let z denote a...

let the random variable x follow a normal distribution with μ = 50 and σ2 =...

let the random variable x follow a normal distribution with μ = 50 and σ2 = 64. a. find the probability that x is greater than 60. b. find the probability that x is greater than 35 and less than 62 . c. find the probability that x is less than 55. d. the probability is 0.2 that x is greater than what number? e. the probability is 0.05 that x is in the symmetric interval about the mean between...

et the random variable x follow a normal distribution with μ = 50 and σ2 =...

et the random variable x follow a normal distribution with μ = 50 and σ2 = 64. a. find the probability that x is greater than 60. b. find the probability that x is greater than 35 and less than 62 . c. find the probability that x is less than 55. d. the probability is 0.2 that x is greater than what number? e. the probability is 0.05 that x is in the symmetric interval about the mean between...

Given a normal distribution with μ=100 and σ= 10 complete parts (a) through(d)a.The probability that X>95...

Given a normal distribution with μ=100 and σ= 10 complete parts (a) through(d)a.The probability that X>95 is ____(please round to four decimal places as needed)b.The probability that X<90 is ____(please round to four decimal places as needed)c.The probability that X<80 or X> 125 is ____(please round to four decimal places as needed)d.90% of the values are greater than___ and less than___(please round to two decimal places as needed)

For a normal distribution where μ = 100 and σ = 10, what is the probability...

For a normal distribution where μ = 100 and σ = 10, what is the probability of: 1. P (X> 80) = 2. P (95 <X <105) = 3. P (X <50) = 4. P (X <100) = 5. P (X <90 and X> 110) = 6.P (X> 150) =

Let X be a continuous random variable having a normal probability distribution with mean µ =...

Let X be a continuous random variable having a normal probability distribution with mean µ = 210 and standard deviation σ = 15. (a) Draw a sketch of the density function of X. (b) Find a value x∗ which cuts left tail of area 0.25 . (c) Find a value y∗ which cuts right tail of area 0.30. (d) Find a and b such that p(a ≤ X ≤ b) = 0.78.

If X is a normal random variable with mean ( μ ) = 50 and standard...

If X is a normal random variable with mean ( μ ) = 50 and standard deviation ( σ ) = 40, then the probability of X > 80 is: a. 0.0000 b. 0.7734 c. 1.0000 d. 0.2266

Suppose X is a normal random variable with μ = 600 and σ = 89. Find...

Suppose X is a normal random variable with μ = 600 and σ = 89. Find the values of the following probabilities. (Round your answers to four decimal places.) (a) P(X < 700) (b) P(X > 350) (c) P(300 < X < 900)

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Given a random variable X having a normal distribution with μ=50, and σ =10. The probability...

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