Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.P(X >42)Click the icon to view a table of areas under the normal curve.Which of the following normal curves corresponds to P(X> 42)?○ A.О в.42 50P(X>42)=(Round to four decimal places as needed.)42 50✓ос.42 50

Answered: Assume the random variable X is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5 ounces. 8 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ☎? ~ N c. What is the probability that one randomly selected person drinks between 15.5 and 18.5 ounces of coffee per day? d. For the 8 people, find the probability that the average coffee consumption is between 15.5 and 18.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? Yes No
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 70 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 70 70 b. Find the probability that a randomly selected person at the hot springs stays longer then 69 minutes. c. The park service is considering offering a discount for the 8% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? 46.115 X minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: 58.542 X minutes Q3: 81.458 X minutes IQR: 23.006 X minutes
What is the probability
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is between - 2.18 and 3.86 and draw a sketch of the region. Sketch the region. Choose the correct graph below. O A. В. OC. O D. -2.18 3.86 2.18 3.86 -2.18 3.86 -2.18 3.86 The probability is (Round to four decimal places as needed.) Click to select your answer(s). 山T00④ NOV 2. 1377 14 X P W MacBook Air esc 80 888 F3 F4 F7 FB F9 F10 $4 & 4 80 Q E Y A F G H. K /2x cv C V B D. 林 wwww wwwww
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is greater than 176.2-cm.P(M > 176.2-cm) = ________Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that a randomly selected person with a kidney stone will take longer than 11 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
he mean height of an adult giraffe is 18 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.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 17.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 17.3 and 17.9 feet tall? f. The 90th percentile for the height of giraffes is ft.
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 67 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that the person is between 63.6 and 65.5 inches. c. The middle 20% of Martian heights lie between what two numbers?Low: inchesHigh: inches

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