Suppose that the amount of time that students spendstudying in the library in one sitting is normally distributedwith mean 42 minutes and standard deviation 21 minutes. Aresearcher observed 45 students who entered the library tostudy. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - N( 4221b. What is the distribution of x? x N 42~3.1305c. What is the distribution of Σæ? Σx - Nx? Xxd. If one randomly selected student is timed, find theprobability that this student's time will be between 38and 42 minutes.e. For the 45 students, find the probability that theiraverage time studying is between 38 and 42 minutes.f. Find the probability that the randomly selected 45students will have a total study time more than 1665minutes.g. For part e) and f), is the assumption of normalnecessary? No Yesh. The top 15% of the total study time for groups of 45students will be given a sticker that says "Greatdedication". What is the least total time that a groupcan study and still receive a sticker?minutes

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The data of the number of ‘centuries’ i.e. a scores of 100 runs or more, scored by players at a cricket club during a season are given in the following table. Number of centuries Number of players0 41 k2 33 24 38 1 Given that the mean number of centuries scored per player is 1.95, find the value of k.A. 7B. 3C. 4D. 1
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 63 0 miles hour miles tickets for cars with speeds exceeding 80 . The records show that exactly 5% of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place. hour miles hour The highway patrol's policy is to issue
1. The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 76 minutes and a standard deviation of 16 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. Find the(IQR) for time spent at the hot springs.Q1, Q3 IRQ: minutes 2. The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.B. The middle 20% of American men consume between what two weights of sodium? Low___High____
The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ____, ________,_______ ~ . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find P3, the 13th percentile. This is the bone density score separating the bottom 13% from the top 87%. 13- * ..* Which graph represents P3? Choose the correct graph below. OA. B. C. OD. се urces P13 P. 13 P13 ns The bone density score corresponding to P,3 is (Round to two decimal places as needed.) on Tool Vi (1,0) More Next Policy | Statcrunch Activate V vate WE 104 梦 @ ^ E O A 4) 11/10 e here to search hp 「曲需

Suppose that a distribution of 500 items has mean 115 and standard deviation 4. Find the z-score of the item xequals=125. z=enter your response here (Type an integer or decimal rounded to the nearest tenth as needed.)
Suppose that the number of Facebook friends users have is normally distributed with a mean of 149 and a standard deviation of about 41. Assume fifteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x̄? x̄ - N -----------, ---------- b. For the group of 15, find the probability that the average number of friends is less than 156. ------------- c. Find the first quartile for the average number of Facebook friends. Round to 2 decimals places. --------------- d. For part b), is the assumption that the distribution is normal necessary? ------------No, --------- yes
V3qZFDvprW. Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 21 minutes. A researcher observed 48 students who entered the library to study. 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( С. c. What is the distribution of x? x - N( Gin... d. If one randomly selected student is timed, find the probability that this student's time will be between 35 and 37 minutes. e. For the 48 students, find the probability that their average time studying is between 35 and 37 minutes. f. Find the probability that the randomly selected 48 students will have a total study time more than 2064 minutes. g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of the total study time for groups of 48 students will be given a sticker that says "Great dedication". What is the least total…
Suppose that a distribution of 300 items has mean 120 and standard deviation 4. Find the z-score of the item x = 126. Z= (Type an integer or decimal rounded to the nearest tenth as needed.)

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