Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 5, what is the probability that:
a) X>60
b) X<40
c) X<45 or X>65
d) Between what two values (symmetrically distributed around the mean) are ninety percent of the values?
Given a normal distribution with (mean) μ= 50 and (standard deviation) σ = 5, what is...
Given a normal distribution with μ=55 and σ=3.0, a) What is the probability that X greater than>51? B) What is the probability that X less than<49? c) For this distribution,99%of the values are less than what X-value? d) Between what two X-values (symmetrically distributed around the mean) are 80% of the values?
Given a normal distribution with μ=100 and σ=10, complete parts (a) through (d). Show ALL Work. a. What is the probability that X>80? (Round to four decimal places as needed.) b. What is the probability that X<95? (Round to four decimal places as needed.) c. What is the probability that X<90 or X>130? (Round to four decimal places as needed.) d. 99% of the values are between what two X-values (symmetrically distributed around the mean)? 99%of the values are greater...
Let X be normal with mean μ and standard deviation σ. a) The cumulative distribution satisfies F(σ) = 50% b) X is bimodal with modes as μ- σ and μ+σ c) F(μ-σ) = 1-F(μ+σ) d) Z = (X-μ)/σ is the standard unit normal. e) If a<c<b, the (F(b)-F(a))>(F(c)-F(a))
Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below. 23. What is the z-score for an individual with a value of 38? 24. What is the probability that a randomly chosen individual from this population will be greater than 40? 25. What is the probability that a randomly chosen individual from this population will be between 44 and 60? 26....
Given that x is a normal variable with mean μ = 51 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.) (a) P(x ≤ 60) (b) P(x ≥ 50) (c) P(50 ≤ x ≤ 60)?
Given that x is a normal variable with mean μ = 49 and standard deviation σ = 6.2, find the following probabilities. (Round your answers to four decimal places.) P(50 ≤ x ≤ 60)
Suppose x has a normal distribution with mean μ =45 and standard deviation σ 12 Describe the distribution of x values for sample size n-4. (Round ơ to two decimal places.) 阪- 吸- Describe the distribution of x values for sample size n-16. (Round σ5 to two decimal places.) Describe the distribution of x values for sample size n = 100. (Round 恢ー ox- to two decimal places.)
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...
If X has a normal distribution with mean μ and standard deviation σ, and Z is the standard normal random variable whose cumulative distribution function is P(Z s Z)-0(Z), then which of the following statements is NOT correct? O E. All of the given statements are not correct