3. (4 pts) Using a normal distribution having mean of 200 and standard deviation of 15.0, calculate the following probabilities:
a. P(X <= 180)
b. P(X<=220)
c. P(X >= 220)
d. P(180 <= X <= 220)
3
mean = 200
standard deviation
= 15
a)
b)
c)
d)
please upvote
3. (4 pts) Using a normal distribution having mean of 200 and standard deviation of 15.0,...
5. Suppose X follows a normal distribution with mean u = 200 and standard deviation o = 40. Find each of the following probabilities. (8 points) a. P(160 < x < 232) b. P(X > 160) C. P(X < 100) d. P(230 < x < 284) 6. Sup Suppose we know that SAT scores have a population average u = 1080 and a standard deviation o = 200. A university wants to give merit scholarships to all students with an...
In a normal distribution with a mean of 25 and a standard deviation of 3, find P(X < 20) a) 0.6523 b) 0.1611 c) 0.9902 d) 0.8434 e) 0.0478
Question 3: Consider the Standard Normal Distribution with mean 0 and standard deviation 1. Find the following. a) P (z>0.5) b) P(z 1.5) c) P (-0.49 < z1.5) Question 4: If you have a normal distribution with mean 14 and standard deviation of 2. What is P(x >16)? Question 5 Professor Hardy assumes the exam scores are normally distributed and wants to grade "on a curve." The mean score was 68, with a standard deviation of 9, If he wants...
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
= X- 4) A normal distribution has mean u = 65 and a population standard deviation o= 20. Find and interpret the z - Score for x = 64. u a) The z - score for x = 64 is 64-65 b) Interpret these results. (Explain): 5) A sample size 28 will be drawn from a population with mean 120 and standard deviation 21. a) Is it appropriate to use the normal distribution to find probabilities for x? yes or...
Given a standardized normal distribution (with a mean of 0 and a standard deviation of 1), determine the following probabilities. a. P(Zgreater than1.02) b. P(Zless thannegative 0.23) c. P(minus1.96less thanZless thannegative 0.23) d. What is the value of Z if only 9.68% of all possible Z-values are larger?
2. Find the mean and standard deviation of the hypergeometric distribution with the parameters n=3, a=4, and N=8 (a) By first calculating the necessary probabilities to get the hypergeometric distribution (20 points) (b) Use the general formulas and calculate the mean and standard deviation using the original equations; (10points) (c) By using the special formulas for the mean and the variance of a hypergeometric distribution (10points)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 15.0; σ = 3.9 P(10 ≤ x ≤ 26) =
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 15.0; σ = 4.5 P(10 ≤ x ≤ 26)
Assume that x has a normal distribution, with the specified mean and standard deviation. Find the indicated probabilities. P(x ≥ 6); μ = 17; σ = 5 0.486 0.243 0.986 0.493 0.014