Find the following probabilities for the standard normal random variable z: (a) P(-1.08 < z< 0.5) = (b) P(-0.87 < z < 1.54) = (c) P(z< 1.42) = (d) P(z> –0.4) =
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Q: (a) n = 4, p = 0.2 f= 0² | = 0 = (b) n = 3, p=0.7 = 0² J = (c) n = 5, p = 0.1 μ= 0²- σ= (d) n = 4, p…
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Q: question e.
A: (e)Here, P (|Z|≤ 1.5) is required to be calculated using the standard normal table.P (|Z|≤ 1.5)…
Q: (d) P(Z > - 2.15) = (e) P(-2.34 < z < 1.76) = i
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A: a)P(-0.79≤z≤-0.53)=?=P(z≤-0.53)-P(z≤-0.79)=0.2981-0.2148=0.0833
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A: a)P (-1.52 < z < 1.5) = P (Z < 1.5) - P (z <-1.52)P (-1.52 < z < 1.5) = P…
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- Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z > -1.85) = 0 (b) P(Z s -1.99) = [] (c) P (0.80 < z < 1.91) = |G and HFind these probabilities for a standard normal random variable Z. Be sure to draw a picture to check your calculations. Use the normal table or technology. (a) P(Z20.8) (d) P(|Z| > 1.6) (b) P(Z< - 2.2) (e) P(0.3sZ<2.2) (c) P(- 0.9Find the expected value for the random variable: 4 5 P(X) 0.21 0.28 0.14 0.37 E(X) =Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all answers to four decimal places.) (a) P(z. 1) = (g) P(z z -3.28) = 0.9995 (h) P(z < 4.98) = 1For the standard normal random variable z, compute the following probabilities (if required, round your answers to four decimal places): P (z ≥ −0.23) = P (z < 1.20) = P (z ≤ −0.71) =Let X be a normal random variable with = 10 and = 2. Find the values of P(X < 11) b. P(X > 8) P(7 < X < 9)Let Z be a standard normal random variable. Calculate the following probabilities. Round your response to at least three decimal places.Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round your answers to four decimal places.) In USE SALT (a) P(z < 2.37) : (b) P(z < 2.37) (c) P(z < -1.22) = (d) P(1.15 < z < 3.36) = You may need to use the appropriate table in the appendix to answer this question.If Z is a standard normal random variable, find the value z, for the following probabilities. (Round your answers to two decimal places.) (a) P(Z > z,) = 0.5 (b) P(Z < z) = 0.8907 (c) P(-z,Let Z be a standard normal random variable. Calculate the following probabilities and round your response to at least 3 decimal places. P(Z is less than or equal to -2.12)= P(Z>-0.71)= P(0.92<Z<2.09)=Let Z be a standard normal random variable. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) P(Z - 1.75) =| (c) P(0.68 < Z < 2.01) = |Recommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON