Please answer all parts, questions 1-5. Thank you! To represent normal variable (distribution) with mean() and...
Suppose that the weight of Florida navel oranges is normally distributed with mean µ = 8 ounces, and standard deviation σ = 1.5 ounces. (a) (1 point) State the model in notation form. (b) (2 points) What proportion of oranges weigh more than 11.5 ounces? (c) (2 points) What proportion of oranges weigh less than 8.7 ounces? (d) (2 points) What proportion of oranges weigh between 6.2 and 7 ounces? Page 3 (e) (5 points) What are the median, mode,...
please write clearly thank you very much 6. (20 pts) A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent duathlon deviation of 0.25 hours. Suppose a random sample of 30 participants finishing ti was 1.67 hours with a standard was taken and the mean me was found to be 1.59 hours with a standard deviation of 0.30 hours. (a)...
Please answer all parts of the question. Thank you! For the following problems, do all of the follow ing steps: a.) Using proper notation, identify the probability distribution and its associated parameter values that you will use to solve the problem. Also, please include the SUPPORT of the distribution. b.) Solve the probability with proper notation. Please show work or write the calculator function that you used complete with all input values. c.) Calculate the mean and variance using proper...
A random variable follows the normal probability distribution with a mean of 80 and a standard deviation of 20. Determine the probability for a randomly selected value from this population in parts a through d below. a. is less than 90 b. is less than 65 c. is more than 110 d. is more than 40.
Supposed that the mean body temperature for adults has a normal distribution with mean = 98.2F and standard deviation = 0.8F. a. What is the probability that a randomly selected adult has a body temperature less than or equal to 98.6F? b. What is the probability that a randomly selected adult has a body temperature greater than 99.2F? c. What is the probability that a randomly selected adult has a body temperature between 97 and 98 degrees?
1) We know that z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that z is less than 1.15 is . Use your z-table and report your answer to four decimal places. 2)A sample of 15 grades from a recent Stats exam has a mean of 69.3 points (out of a possible 100 points) and a standard deviation of 16.5 points. Calculate the z-score for the student who scored 74.1 points on...
A random variable follows the normal probability distribution with a mean of 100 and a standard deviation of 10. Determine the probability for a randomly selected value from this population in parts a through d below. Click here to view.pa a. What is the probability that the value is less than 80? The probability that the value is less than 80 is (Round to four decimal places as needed.) b. What is the probability that the value is less than...
Let us assume that the variable Total_Rooms follows the normal distribution with mean 87 and standard deviation 95.1. Then: 4.1 Compute the probability that a randomly selected hotel has more than 100 rooms. 4.2 Compute the probability that a randomly selected hotel has between 60 and 80 rooms. 4.3 Find what is the minimum number of rooms a hotel should have in order to be considered in the 20% of the largest in size?
Let us assume that the variable Total_Rooms follows the normal distribution with mean 87 and standard deviation 95.1. Then: 4.1 Compute the probability that a randomly selected hotel has more than 100 rooms. 4.2 Compute the probability that a randomly selected hotel has between 60 and 80 rooms. 4.3 Find what is the minimum number of rooms a hotel should have in order to be considered in the 20% of the largest in size?
. In probability theory, the Normal Distribution (sometimes called a Gaussian Distribution or Bell Curve) is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Describing the normal distribution using a mathematical function is called a probability distribution function (PDF) which is given here: H The mean of the distribution ơ-The standard deviation f(x)--e 2σ We can...