Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A. 0.975 O B. 0.025 O C. 0.84
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Q: The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally…
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- Heights of boys in a high school are approximately normally distributed with a mean of 175 cm and a standard deviation of 5 cm. What is the first quartile (25%) of heights? (Hint. you need to find the Z-score associated with 25th percentile from the table on page 410) a. 165.8 cm b. 169.6 cm c. 171.7 cm d. 173.5 cm e. 181.0 cmThe mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible a. What is the distribution of X? X N b.What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.7 feet tall? e. What is the probability that a randomly selected giraffe will be between 16 and 16.9 feet tall? f. The 90th percentile for the height of giraffes is ft.Suppose that the middle 95% of score on a statistics final fall between 60.67 and 90.75. Give an approximate estimate of the standard deviation of scores. Assume the scores have a normal distribution. Question 7 options: 1) 15.04 2) 75.71 3) 3.76 4) -7.52 5) 7.52
- An IQ score has a Normal distribution with mean 50 and standard deviation 5. Assume we want a sample of size 9. What proportion of sample means (of size 9) are less than 45? (Select nearest answer if your exact answer is not provided below). Group of answer choices 0.16 0.05 0.01 0.0013Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P( – b < Z < b) = 0.7062, find b. Round your answer to 2 decimals. b =A normal distribution has a mean of 19 and a standard deviation of 5. Use the 68-95-99.7 rule to find the percentage of values in the distribution below 9. F What is the percentage of values in the distribution below 9? % (Type an integer or a decimal.)
- The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with. standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 20.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.8 feet tall? e. What is te probability that a randomly selected giraffe will be between 18.8 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.9 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 17 b. What is the median giraffe height? 17 0.9 ft. c. What is the Z-score for a giraffe that is 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.1 feet tall? f. The 85th percentile for the height of giraffes is e. What is the probability that a randomly selected giraffe will be between 17.9 and 18.8 feet tall? ft.D, e, f and h
- Given a normal distribution with mean of 14 & standard deviation of 2. What is the P (13 ≤ x ≤ 15)? Write every rule you are going to use6.2 The Standard Normal Distribution Table: Z-score and Probability In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.7 inches, and standard deviation of 5.1 inches. What is the probability that the height of a randomly chosen child is between 40.95 and 43.35 inches? Probability = (Use 4 decimal places.)There are 100,000 particles m-3, and the particle diameters follow a normal distribution. The mean diameter is 0.1 µm, and the standard deviation is 0.02 µm. a. How many particles m-3 have diameters larger than 0.15 µm? b. How many particles m-3 have diameters between 0.14 µm and 0.15 µm?
