Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X...

Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X has... (Round all your answers to 4 decimal places.)

a. ... a Binomial distribution with n=23 and p=1/10

b. ... a Geometric distribution with p = 0.19.

c. ... a Poisson distribution with λ = 6.8.

Expert Solution

orchestra answered 2 years ago

X∼(μ=4.5,σ=4) find P(X<10.2) X∼(μ=4.5,σ=4) find P(X>-2.8) For X∼(μ=4.5,σ=4) find P(6.7<X<15.9) For X∼(μ=4.5,σ=4) find P(-4.9<X<-0.2) For X∼(μ=4.4,σ=4)...

X∼(μ=4.5,σ=4) find P(X<10.2) X∼(μ=4.5,σ=4) find P(X>-2.8) For X∼(μ=4.5,σ=4) find P(6.7<X<15.9) For X∼(μ=4.5,σ=4) find P(-4.9<X<-0.2) For X∼(μ=4.4,σ=4) find the 2-th percentile. For X∼(μ=17.4,σ=2.9) find the 82-th percentile. For X∼(μ=48.1,σ=3.4) find the 13-th percentile. For X∼(μ=17.4,σ=2.9) find the 49-th percentile. For X∼(μ=48.1,σ=3.4) find P(X>39) For X∼(μ=48.1,σ=3.4) find P(X<39)

Round all your answers to 4 decimal places. Let μ=E(X), σ=stanard deviation of X. Find the...

Round all your answers to 4 decimal places. Let μ=E(X), σ=stanard deviation of X. Find the probability P(μ-σ ≤ X ≤ μ+σ) if X has... a. ... a Binomial distribution with n=6 and p=1/3. b. ... a Geometric distribution with p = 0.63. c. ... a Poisson distribution with λ = 7.2.

Let X be normally distributed with mean μ = 26 and standard deviation σ = 13....

Let X be normally distributed with mean μ = 26 and standard deviation σ = 13. [You may find it useful to reference the z table.] a. Find P(X ≤ 0). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 13). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(13 ≤ X ≤ 26). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34....

Let X be normally distributed with mean μ = 146 and standard deviation σ = 34. [You may find it useful to reference the z table.] a. Find P(X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(95 ≤ X ≤ 110). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find x such that P(X ≤ x) = 0.330. (Round "z" value and...

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8....

Let X be normally distributed with mean μ = 18 and standard deviation σ = 8. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(8 ≤ X ≤ 16). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 20 and standard deviation σ = 12....

Let X be normally distributed with mean μ = 20 and standard deviation σ = 12. [You may find it useful to reference the z table.] a. Find P(X ≤ 2). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 5). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(5 ≤ X ≤ 20). (Round "z" value to 2 decimal places and final...

Let X be a random variable with mean μ and standard deviation σ. Consider a new...

Let X be a random variable with mean μ and standard deviation σ. Consider a new random variable Z, obtained by subtracting the constant μ from X and dividing the result by the constant σ: Z = (X –μ)/σ. The variable Z is called a standardised random variable. Use the laws of expected value and variance to show the following: a E(Z) = 0 b V (Z) = 1

Let X be normally distributed with mean μ = 3,800 and standard deviation σ = 2,000....

Let X be normally distributed with mean μ = 3,800 and standard deviation σ = 2,000. [You may find it useful to reference the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) b. Find x such that P(X > x) = 0.025. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,800...

Let X be normally distributed with mean μ = 18 and standard deviation σ = 14....

Let X be normally distributed with mean μ = 18 and standard deviation σ = 14. [You may find it useful to reference the z table.] a. Find P(X ≤ 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) b. Find P(X > 11). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) c. Find P(4 ≤ X ≤ 18). (Round "z" value to 2 decimal places and final...

Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 3....

Let X be normally distributed with mean μ = 4.1 and standard deviation σ = 3. b. Find P(5.5 ≤ X ≤ 7.5). c. Find x such that P(X > x) = 0.0485.

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