Let Z ~ N(0,1). What is the proportion of standard normal values between -0.55 to 0.55?
Question 16 options:
64.485% |
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34.203% |
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33.485% |
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41.768% |
Let Z ~ N(0,1). What is the proportion of standard normal values between -0.55 to 0.55?...
4. Let Z ~ N(0,1) be a standard normal variable. Calculate the probability (a) P(1 <Z < 2). (b) P(-0.25 < < < 0.8). (c) P(Z = 0). (d) P(Z > -1).
a) Let Z be the standard normal distribution and a a real number in (0,1). Calculate the following probability b) Find the probability P(Z < in + zi-o) c) Find α given that 4-a)--0.8 a) Let Z be the standard normal distribution and a a real number in (0,1). Calculate the following probability b) Find the probability P(Z
1. Let 2 ~ N (0,1). Using a standard normal table, find the following probabilities. You do not need to provide any equation. Instead, draw pictures as we did in the lecture and find the numbers from the table. Make yourself be familiar with using different kinds of tables. (Hint: The standard normal density is symmetric around zero.] (a) P(Z < 0) (b) P(Z < 1.96) (c) P(Z < 1.96) (d) P(Z = 1.96) (e) P(-1.65 < 2 <0) (f)...
In a normal distribution N(0,1), what are the two z-scores that will be the lower and upper boundaries for the middle 90 percent of the distribution? Choose the listed values that are the closest to your calculated value! - 1.96 and + 1.96 - 1.96 and + 1.65 - 2.58 and + 2.58 - 2.00 and + 2.58 - 1.65 and + 1.65 - 2.00 and + 2.00
Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answer 2 decimal places) A: P(Z > z) = .9484 z = ? B: P(-z < Z < z)= .8294 z = ?
Find the proportion of the normal distribution that is located between the following z-values. (Round your answers to four decimal places.) (a) Between z = 0.50 and z = −0.50. (b) Between z = 1.00 and z = −1.00. (c) Between z = 0 and z = −1.50. (d) Between z = 1.75 and z = −0.25.
Give examples of options that require a multivariate distribution, as opposed to the standard normal N(0,1).
1) Let Z be the standard normal variable. Find the values of z if z satisfies the given probabilities. (Round your answers to two decimal places.) (a) P(Z > z) = 0.9706 z = ? P(−z < Z < z) = 0.8164 z = ? 2) Suppose X is a normal random variable with μ = 350 and σ = 20. Find the values of the following probabilities. (Round your answers to four decimal places.) (a) P(X < 405) = (b) P(370...
2. Let Z~ N(0,12) (distributed as a standard normal rv). Calculate the following probabilities, show your R code, and shade in the probability for plots that are missing it (do the shading by hand). a. P(0<Z<2.17)? Standard Normal 0.4 0.3 f(x0,1) 0.2 0.1 4TTT -3 -2 -1 0 1 2 3 b. P(-2.5 <Z <0)? Standard Normal 0.4 0.3 f(x:0,1) 0.2 0.1 0.0 LC - -3 -2 -1 0 1 2 C. P(-2.5 <Z< 2.5)? Standard Normal 0.4 0.3 f(x;0,1)...
What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...