Answer the following questions about the standard normal random variable Z. Use 4 decimal places in your answers.

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: Given, Z~N(0,1) P(-c<Z<c)=0.9749

Q: z is a standard normal random variable. The P (-2.20  z  2.20) equals     a. 0.9645.   b. 0.9722.…

A: We know that,  If z is standard normal distribution with mean(μ) = 0 and standard deviation(σ) = 1…

Q: Assume that X is a normally distributed random variable and Z is the corresponding standard normal…

A:

Q: Z is a standard normal random variable. The P(1.20 £ z £ 1.85) equals​ a. ​0.3849 b. ​0.4678 c.…

A: P(1.2<Z<1.85) =P(Z<1.85)-P(Z<1.2)                                              =…

Q: Suppose z is a normal random variable. Find P ( Z > 1.84 ). Round your answer to four decimal…

A: Sketch the normal curve and shade the area to the right of z=1.84.

Q: (b) From the distribution you found in part (a), what can you say about the distribution of X? The…

A: Given: X 0 1 2 3 4 5 6 7 P(X=x) 0.2791 0.3907 0.2344 0.0781 0.0156 0.0019 0.0001 0.00000357

Q: Given the standard normal random variable Z, find Pr(-2.08 <ZS 1.76). O A. 0.9420 O B. 0.0580 O C.…

A: We need to compute Pr(−2.08≤Z≤1.76), where Z has a standard normal distribution.

Q: Z is a standard normal random variable. The P(-1.96 Z -1.4) equals

A:

Q: Assume that Z is a standard normal random variable. If P(Z<0.06)%3D0.52, which one of the following…

A: we haveto find given probability

Q: Given that z is a standard normal random variable, what is the probability that -2.51 SS-1.532…

A: Given Data: z represents the standard normal distribution   To Find: P(-2.51&lt;z&lt;-1.53)

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A:

Q: If z is a standard normal variable, find the probability that z lies between -2.41 and 0.

A:

Q: You may need to use the appropriate appendix table to answer this question. Given that z is a…

A: Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: z is a standard normal random variable. The P (-1.20  z  1.50) equals     a. 0.8181   b. 0.4332…

A: Given  A multiple choice question based a random variable.

Q: If Z is a standard normal random variable, then what is the probability that it lies between 2.46…

A: Given: Z is a standard normal random variable, So, Z~N0,1

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A:

Q: If z is a standard normal random variable, the area between z=−2.80 z=-2.80 and z=−1.40 z=-1.40 is…

A: we need to find area between z=-2.8 and z=-1.4 the area is =z(-2.8)-z(-1.4) = 7.82%…

Q: B. Answer the following: Solve for the mean and variance of random variable. Let X be a random…

A: Given, X P(X=x) 0 1/4 1 2/5 2 1/8 3 9/40

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: We have to find c.

Q: f Z is a standard normal random variable, What is E[|z|]? Answer using four decimal places.

A: Z is a standard normal variable Z~N(0,1)   E(Z)=∫-∞∞z·12π e-z22dz=∫-∞0-z·12π e-z22dz+∫0∞z·12π…

Q: Z is a standard normal random variable. The P (Z=1.41) equals   Question 9 options:   0.0000…

A: Given that:Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 By…

Q: If z is a standard normal variable, find the probability that z is between -2.07 and 3.28

A: Z is between -2.07 and 3.28

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: A normal distribution is a continuous type probability distribution.It is also known as a…

Q: Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it…

A: Given observation x y x2 y2 xy 21 87.8 441 7708.84 1843.8 15.1 71.4 228.01 5097.96 1078.14…

Q: Give the percent of scores between the mean and the z-value of normally distributed random variable.…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ  are the mean…

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: We need to find c such that P(Z&lt; c)= 0.1685

Q: You may need to use the appropriate appendix table to answer this question. Given that z is a…

A: We have given a standard normal distribution, we have to determine the z score for the given area.…

Q: Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: (a) P(z < zo) = 0.834 Zo (b) P(-zo < z < zo) = 0.25 Zo = (c) P(-zo < z < z0) = 0.2936 Zo =

A: To find the standard normal variable: Z-score is a measure which tells how many standard deviations…

Q: You may need to use the appropriate appendix table or technology to answer this question. z is a…

A: Here, z-score is 2.12. Look into the left tailed z-table column of z scores for 2.1 and then look…

Q: Let X be a random variable with X -3 and oz = 5. Find the mean and the variance of Y = -2X -3

A: