Suppose that jumps by Olympic men high jumpers have a normal distribution with a mean 2.12...

Suppose that jumps by Olympic men high jumpers have a normal distribution with a mean 2.12 meters and standard deviation 0.12 meters; women's jumps have a normal distribution with a mean 1.80 meters and standard deviation 0.09 meters. A man and woman Olympic high jumper are picked at random.

(a) What is the probability the sum of their jumps is over 4 meters? (

b) What is the probability that the man jumped higher than the woman?

Expert Solution

orchestra answered 2 years ago

Weights (X) of men in a certain age group have a normal distribution with mean μ...

Weights (X) of men in a certain age group have a normal distribution with mean μ = 160 pounds and standard deviation σ = 24 pounds. Find each of the following probabilities. (Round all answers to four decimal places.) (a) P(X ≤ 190) = probability the weight of a randomly selected man is less than or equal to 190 pounds. (b) P(X ≤ 148) = probability the weight of a randomly selected man is less than or equal to 148...

Suppose that the heights of male students at a university have a normal distribution with mean...

Suppose that the heights of male students at a university have a normal distribution with mean = 65 inches and standard deviation = 2.0 inches. A randomly sample of 10 students are selected to make up an intramural basket ball team. i) What is the mean (mathematical expectation) of xbar? ii) What is the standard deviation of x bar? iii) What is the probability that the average height (x bar) of the team will exceed 69 inches? iv) What is...

The distribution of heights of adult men in the U.S. is approximately normal with mean 69...

The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about the EMPIRICAL RULE to answer the following. a)Approximately what percent of men are taller than 69 inches? b)Approximately what percent of men are between 64 and 66.5 inches?

The distribution of heights of adult American men is approximately normal with mean of 69 inches...

The distribution of heights of adult American men is approximately normal with mean of 69 inches in standard deviation of 2.5 inches. a. what is the probability that a selected male is either less than 68 or greater than 70 inches b. find the probability that a selected male is between 69 and 73 inches

The distribution of heights of adult men is approximately normal with mean 175 centimeters and standard...

The distribution of heights of adult men is approximately normal with mean 175 centimeters and standard deviation 6.5 centimeters. About what percent of men are shorter than 162 centimeters? Why? Explain. a. 95% b. 68% c. 16% d. 5% e. 2.5%

The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3...

The distribution of total body protein in healthy adult men is approximately Normal with mean 12.3 kg and standard deviation 0.1 kg. Reference: Ref 13-9 If you take a random sample of 25 healthy adult men, what is the probability that their average total body protein is between 12.25 and 12.35 kg? Select one: a. 0.9876 b. 0.3829 c. 0.0796 d. 0.0062

8) Scores on an exam have a normal distribution with a mean of 80 and a...

8) Scores on an exam have a normal distribution with a mean of 80 and a standard deviation of 12. a) Find the probability that a person would score above 90. b) Find the probability that a person would score between 75 and 85. c) Find the probability that a group of 7 people would have a mean score above 84. d) Find the score needed to be in the top 10% of the class.

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00....

Suppose x has a normal distribution with a mean of 78 and a variance of 484.00. If a sample of 19 were randomly drawn from the population, find the probability of for each of the following situations. a) less than 79: probability = b) greater than 85: probability = c) in between 68 and 84: probability = d) in between 77 and 91: probability = Note: Do NOT input probability responses as percentages; e.g., do NOT input 0.9194 as...

Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a...

Suppose that male adult weights follow a normal distribution with a mean of 182.9lb and a standard deviation of 40.8lb. 1.Find the probability that 1 randomly selected male has a weight greater than 156.25 lb. 2.Find the probability that a sample of 16 males have a mean weight greater than 156.25 lb.

Suppose the height of individuals in a population follow a normal distribution with a mean (μ)...

Suppose the height of individuals in a population follow a normal distribution with a mean (μ) of 66 inches and a standard deviation (σ) of 4 inches. a) Using the statistical software R, sample n individuals from the distribution described above. For N=10,000 iterations, compute the average height for n=5, n=15, n=50, n=100 individuals and plot a histogram of the sampling distribution of the Z score (?̅−??/√? ) b) Using the statistical software R, sample n individuals from the distribution...

Question