For the following use a standard normal curve. That is a μ of zero and σ...

For the following use a standard normal curve. That is a μ of zero and σ of 1.

1. What is the probability that z < 1.5?

2. What is the probability that z >2?

3. What is the probability that -2<z<2?

4. What z score represents the top 5%?

5. What z score represents the bottom 10%?

6. What z scores represent the middle? 90%?

7. What z scores represent the middle 95%?

8. What z scores represent the μ-2σ and μ+2σ?

Expert Solution

orchestra answered 2 years ago

Given a normal distribution with μ=40 and σ =9, find (a) the normal curve area to...

Given a normal distribution with μ=40 and σ =9, find (a) the normal curve area to the right of x=25; (b) the normal curve area to the left of x=29; (c) the normal curve area between x=43 and x=52; (d) the value of x that has 90% of the normal curve area to the left; and (e) the two values of x that contain the middle 70% of the normal curve area.

Given a normal distribution with μ=40 and σ=66, find (a) the normal curve area to the...

Given a normal distribution with μ=40 and σ=66, find (a) the normal curve area to the right of x=24; (b) the normal curve area to the left of x=29; (c) the normal curve area between x=47 and x=54; (d) the value of x that has 70% of the normal curve area to the left; and (e) the two values of x that contain the middle 65% of the normal curve area.

Consider the standard normal curve, where μ=0 and σ=1. Find the value z so that 90%...

Consider the standard normal curve, where μ=0 and σ=1. Find the value z so that 90% of the area under the curve is between −z and z . Give your answer to 4 decimal places.

1. Consider a standard normal random variable with μ = 0 and standard deviation σ =...

1. Consider a standard normal random variable with μ = 0 and standard deviation σ = 1. (Round your answers to four decimal places.) (a) P(z < 2) = (b) P(z > 1.16) = (c) P(−2.31 < z < 2.31) = (d) P(z < 1.82) = 2. Find the following probabilities for the standard normal random variable z. (Round your answers to four decimal places.) (a) P(−1.49 < z < 0.65) = (b) P(0.56 < z < 1.74) = (c) P(−1.54 < z < −0.46) = (d) P(z...

1. Consider a standard normal random variable with μ = 0 and standard deviation σ =...

1. Consider a standard normal random variable with μ = 0 and standard deviation σ = 1. (Round your answers to four decimal places.) (a) P(z < 2) = (b) P(z > 1.16) = (c) P(−2.31 < z < 2.31) = (d) P(z < 1.82) = 2. Find the following probabilities for the standard normal random variable z. (Round your answers to four decimal places.) (a) P(−1.49 < z < 0.65) = (b) P(0.56 < z < 1.74) = (c) P(−1.54 < z < −0.46) = (d) P(z...

Consider a standard normal random variable with μ = 0 and standard deviation σ = 1....

Consider a standard normal random variable with μ = 0 and standard deviation σ = 1. (Round your answers to four decimal places.) (a) P(z < 2) = (b) P(z > 1.13) = (c) P(−2.39 < z < 2.39) = (d) P(z < 1.88) =

A. A normal random variable has an unknown mean μ and a standard deviation σ =...

A. A normal random variable has an unknown mean μ and a standard deviation σ = 2. If the probability that x exceeds 6.5 is .9732; find μ. B. A standard normal random variable has μ = 0 and a standard deviation σ = 1. Find the probability of less than -2.73. C. A standard normal random variable has μ = 0 and a standard deviation σ = 1. Find the probability greater than 3.28. D. A standard normal random...

Question

For the following use a standard normal curve. That is a μ of zero and σ...

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