Suppose that x ∼ N(0, 1). Use Excel to calculate the P r(x <= .3333) to...
Suppose that x ∼ N(0, 1). Use Excel to calculate the P r(x <= .3333) to 4 digits?
Homework Answers
To calculate the probability Pr(x <= 0.3333) for a standard normal distribution, we can use the cumulative distribution function (CDF) of the normal distribution.
In Excel, you can use the NORM.DIST function to calculate the probability.
Follow these steps to calculate Pr(x <= 0.3333) in Excel:
Open Microsoft Excel.
In a cell, enter the following formula: =NORM.DIST(0.3333, 0, 1, TRUE) The NORM.DIST function takes four arguments: the value for which you want to calculate the probability, the mean of the distribution (0 for the standard normal distribution), the standard deviation of the distribution (1 for the standard normal distribution), and TRUE to indicate that you want the cumulative probability.
Press Enter to get the result.
The result will be the probability Pr(x <= 0.3333) for the standard normal distribution, rounded to 4 decimal places.
Add Answer to:
Suppose that x ∼ N(0, 1). Use Excel to calculate the P r(x <=
.3333) to...
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1....
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1. (1) Explain that the conditional distribution [Y|X = x] ~N(px, 1 - p2) (2) Calculate the joint density f(x, y) (3) Calculate E(Y) and Var(Y) (4) Calculate Cov(X, Y) N(0, 1), and Y = pX + €, where
2. Suppose that X Binom(n,p) such that n>1 and 0 <p<1. Show that E[(x + 1)-1...
2. Suppose that X Binom(n,p) such that n>1 and 0 <p<1. Show that E[(x + 1)-1 = _(1 – p)p+1 – 1 p(n + 1)
Consider a hypergeometric probability distribution with n=7, R=9, and N=18. a) Calculate P(x=5). b) Calculate P(x=4)....
Consider a hypergeometric probability distribution with n=7, R=9, and N=18. a) Calculate P(x=5). b) Calculate P(x=4). c) Calculate P(x less than or equals1). d) Calculate the mean and standard deviation of this distribution. a) P(x=5)= nothing (Round to four decimal places as needed.)
k=0 Q3 Suppose X has Poisson(1) distrubution. Calculate the following (a) Determine P(X = k) for...
k=0 Q3 Suppose X has Poisson(1) distrubution. Calculate the following (a) Determine P(X = k) for k E No = {0, 1, 2, ..., n, ...}. [1] (b) Evaluate Ź P(X = k). [1] (c) Determine E(X). [1] (d) Determine E(X(X – 1)). [2] (e) Use the result in (d) to calculate E(X). [1] (f) Calculate Var(X). [1] (g) Calculate Eſax). [3] (h) Calculate Var(a*). [3] (i) Determine E (1+x). [2]
In R software 1. If X is a binomial random variable with n=10 and p=0.6, use...
In R software 1. If X is a binomial random variable with n=10 and p=0.6, use R to find P{X>4} and P{X=4 or X=6}. (6 points)
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unk...
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
< 0) = 1/3, and Exercise 9.8. Suppose X has an N(u,02) distribution, P(X P(X <...
< 0) = 1/3, and Exercise 9.8. Suppose X has an N(u,02) distribution, P(X P(X < 1) = 2/3. What are the values of u and o?!
Calculate the expectation value <r> of an electron in the state of n=1 and 1-0 of the hydrogen atom. r is the pos...
Calculate the expectation value <r> of an electron in the state of n=1 and 1-0 of the hydrogen atom. r is the position from the nucleus. Use the wave functions appropriately in Table 6-1 of the textbook. You can use the integration of x" exp(-ax) dx= a (n>-1, a>0). an+1
Calculate the expectation value of an electron in the state of n=1 and 1-0 of the hydrogen atom. r is the position from the nucleus. Use the wave functions appropriately...
Problem 1. The relative probability of r is given by: x < 0 1 cos( n(r) 0 <x< 10 10 x. a) Sketch n(x) on t...
Problem 1. The relative probability of r is given by: x < 0 1 cos( n(r) 0 <x< 10 10 x. a) Sketch n(x) on the domain 0 <I<10. b) Find a probability density function for r (p(r)) by normalizing n(x). c) What is the average value of r?
Problem 1. The relative probability of r is given by: x
a. P(X=3)= b. P(X=3)= c. P(X=0)= d. P(X=3)= Please include Excel formula. Determine the following probabilities....
a. P(X=3)=
b. P(X=3)=
c. P(X=0)=
d. P(X=3)=
Please include Excel formula.
Determine the following probabilities. a. If n 4, N 12, and A 5, find P(X 3). b. If n 4, N 6, and A 3, find P(X 3) c. If n 6, N 11, and A 5, find P(X 0) d. If n 3, N10, and A 3, find P(X 3)
is independent of X, and e Problem 3 Suppose X N(0, 1 -2) -1 <p< 1. (1) Explain that the conditional distribution [Y|X = x] ~N(px, 1 - p2) (2) Calculate the joint density f(x, y) (3) Calculate E(Y) and Var(Y) (4) Calculate Cov(X, Y) N(0, 1), and Y = pX + €, where
2. Suppose that X Binom(n,p) such that n>1 and 0 <p<1. Show that E[(x + 1)-1 = _(1 – p)p+1 – 1 p(n + 1)
k=0 Q3 Suppose X has Poisson(1) distrubution. Calculate the following (a) Determine P(X = k) for k E No = {0, 1, 2, ..., n, ...}. [1] (b) Evaluate Ź P(X = k). [1] (c) Determine E(X). [1] (d) Determine E(X(X – 1)). [2] (e) Use the result in (d) to calculate E(X). [1] (f) Calculate Var(X). [1] (g) Calculate Eſax). [3] (h) Calculate Var(a*). [3] (i) Determine E (1+x). [2]
Please explain very carefully!
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 > 0 are unknown. (a) (5 marks) Let μ+σ~p denote the p-th quantile of the N(μ, σ*) distribution. What does this mean? (b) (10 marks) Determine a UMVU estimate of,1+ ơZp and justify your answer.
4. Suppose that x = (x1, r.) is a sample from a N(μ, σ2) distribution where μ E R, σ2 >...
< 0) = 1/3, and Exercise 9.8. Suppose X has an N(u,02) distribution, P(X P(X < 1) = 2/3. What are the values of u and o?!
Calculate the expectation value <r> of an electron in the state of n=1 and 1-0 of the hydrogen atom. r is the position from the nucleus. Use the wave functions appropriately in Table 6-1 of the textbook. You can use the integration of x" exp(-ax) dx= a (n>-1, a>0). an+1
Calculate the expectation value of an electron in the state of n=1 and 1-0 of the hydrogen atom. r is the position from the nucleus. Use the wave functions appropriately...
Problem 1. The relative probability of r is given by: x < 0 1 cos( n(r) 0 <x< 10 10 x. a) Sketch n(x) on the domain 0 <I<10. b) Find a probability density function for r (p(r)) by normalizing n(x). c) What is the average value of r?
Problem 1. The relative probability of r is given by: x
a. P(X=3)=
b. P(X=3)=
c. P(X=0)=
d. P(X=3)=
Please include Excel formula.
Determine the following probabilities. a. If n 4, N 12, and A 5, find P(X 3). b. If n 4, N 6, and A 3, find P(X 3) c. If n 6, N 11, and A 5, find P(X 0) d. If n 3, N10, and A 3, find P(X 3)
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