Question

Given X ~ N(300, 15). Answer the following. Round probabilities to 4 decimals. a. Find P(X...

Given X ~ N(300, 15). Answer the following. Round probabilities to 4 decimals.

a. Find P(X > 323)

b. Find P(X < 287)

c. Find P(289 < X < 314)

d. The middle 70% of the area under the normal curve is between and Round answers to 2 decimals.

Homework Answers

Answer #1

a)

=0.5-0.4370 =0.0630

Answer: 0.0630

b)

=0.5-0.3078 =0.1922

Answer: 0.1922

c)

Answer: 0.5911

d) For the middle 70% the critical values of Z are -1.036 and1.036

The Upper limit is

The lower limit is

Answer: The middle 70% of the area under the normal curve is between 284.46 and 315.54

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a binomial distribution, n=7 and π=.15. Find the probabilities of the following events. (Round your...
In a binomial distribution, n=7 and π=.15. Find the probabilities of the following events. (Round your answers to 4 decimal places.) (a) x=1 Probability= (b) x≤2 Probability = (c) x≥3 Probability=
1- Find the area under the standard normal curve between z=0.76 and z=1.90. Round your answer...
1- Find the area under the standard normal curve between z=0.76 and z=1.90. Round your answer to four decimal places. 2- Find the area under the standard normal curve between z=-2.49 and z=-0.44. Round your answer to four decimal places. 3- Find the area under the standard normal curve between z=-2.26 and z=1.88. Round your answer to four decimal places. 4- Find the area under the standard normal curve to the right of z=2.37. Round your answer to four decimal...
4. Find each of the following probabilities (P) for a normal distribution.           A. P (z...
4. Find each of the following probabilities (P) for a normal distribution.           A. P (z > -1.00) B. P (z > -0.80)           C. P (z < 0.25) 5. For a normal distribution, identify the z-score value(s) that separate the area of the distribution into sections so that there is…           A. 80% on the right, and 20% on the left           B. 90% in the middle, and 5% on each side           C. 95% in the middle, and...
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals)....
Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). P(-1.98 ≤ z ≤ 0.48) P(0.55 ≤ z ≤ 1.29) P(-1.73 ≤ z ≤ -1.08)
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 < 24 | μ = 27 and σ = 4) P(x ≥ 51 | μ = 40 and σ = 8) P(x > 33 | μ = 40 and σ = 6 P(20 < x < 26 | μ = 25 and σ = 4) P(x ≥ 83 | μ = 70 and σ...
Let X represent a binomial random variable with n = 360 and p = 0.82. Find...
Let X represent a binomial random variable with n = 360 and p = 0.82. Find the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places. Probability a. P(X ≤ 290) b. P(X > 300) c. P(295 ≤ X ≤ 305) d. P(X = 280)
Assume that X is a binomial random variable with n = 15 and p = 0.78....
Assume that X is a binomial random variable with n = 15 and p = 0.78. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) Assume that X is a binomial random variable with n = 15 and p = 0.78. Calculate the following probabilities. (Do not round intermediate calculations. Round your final answers to 4 decimal places.) a. P(X = 14) b. P(X = 13) c. P(X ≥ 13)
Suppose that x has a binomial distribution with n = 202 and p = 0.47. (Round...
Suppose that x has a binomial distribution with n = 202 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x np n(1 – p) Both np and n(1 – p) (Click to select)≥≤ 5 (b)...
Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round...
Suppose that x has a binomial distribution with n = 199 and p = 0.47. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) (Click to select) 5 (b)...
For a given binomial distribution with  n = 11, p = 0.35, find the following probabilities P(...
For a given binomial distribution with  n = 11, p = 0.35, find the following probabilities P( x is less than or equal to 6, x≤ 6)