Question

In: Statistics and Probability

Assume a normal distribution and find the following probabilities. (Round the values of z to 2...

Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

(a) P(x < 18 | μ = 22 and σ = 3)

(b) P(x ≥ 69 | μ = 50 and σ = 7)

(c) P(x > 43 | μ = 50 and σ = 5)

(d) P(18 < x < 22 | μ = 20 and σ = 3)

(e) P(x ≥ 96 | μ = 80 and σ = 1.77)

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 16 | μ = 20 and σ = 3) (b) P(x ≥ 62 | μ = 50 and σ = 7) (c) P(x > 43 | μ = 50 and σ = 5) (d) P(16 < x < 21 | μ = 18 and σ = 3) (e) P(x ≥ 73 |...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 17 | μ = 21 and σ = 3) (b) P(x ≥ 72 | μ = 60 and σ = 9) (c) P(x > 55 | μ = 60 and σ = 5) (d) P(14 < x < 22 | μ = 19 and σ = 3) (e) P(x ≥ 93 |...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) P(x ≥ 85 | μ = 70 and σ = 1.77)
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 25 | μ = 27 and σ = 3) enter the probability of fewer than 25 outcomes if the mean is 27and the standard deviation is 3 (b) P(x ≥ 75 | μ = 60 and σ = 8) enter the probability of 75or more outcomes if the mean is 60and the...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 17 | μ = 20 and σ = 3) enter the probability of fewer than 17 outcomes if the mean is 20 and the standard deviation is 3 (b) P(x ≥ 61 | μ = 50 and σ = 8) enter the probability of 61 or more outcomes if the mean is...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 18 | μ = 21 and σ = 4) (b) P(x ≥ 43 | μ = 30 and σ = 8) (c) P(x > 28 | μ = 30 and σ = 6) (d) P(13 < x < 21 | μ = 19 and σ = 4) (e) P(x ≥ 75 |...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2...
Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 23 | μ = 26 and σ = 4) enter the probability of fewer than 23 outcomes if the mean is 26 and the standard deviation is 4 (b) P(x ≥ 42 | μ = 30 and σ = 7) enter the probability of 42 or more outcomes if the mean is...
Find the following probabilities for a standard normal random variable Z. Note: Round your answers to...
Find the following probabilities for a standard normal random variable Z. Note: Round your answers to four decimal places. A) P(Z < -1.47)    B) P(Z > 2.20)    C) P(Z > -1.17)    D) P(Z < 1.30)   
Find each of the probabilities where z is a z-score from a standard normal distribution with...
Find each of the probabilities where z is a z-score from a standard normal distribution with a mean of μ=0 and standard deviation σ=1. Make sure you draw a picture of each problem.   Show all steps with TI 83 P(z < 2.15) P(z > 0.71) P(-1.45 <z < 2.17)
Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round...
Compute the following probabilities using your calculator. Assume Z is a standard normal random variable. Round all answers to three decimal places. A. P(0<Z<1.85)P(0<Z<1.85)= B. P(−1.15<Z<0.3)= C. P(Z>−1.3))= D. P(0<Z<2.35)= E. P(−1.85<Z<0.7)= F. P(Z>−1.2)= Suppose the random variable xx is best described by a normal distribution with μ=29μ=29 and σ=3.4σ=3.4. Find the zz-score that corresponds to each of the following xx values. Round answers to three decimal places (a)  x=16.2 z= (b)  x=33.4 z= (c)  x=17.2 z= (d)  x=38.6 z= Find the following probabilities...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT