The number of calories consumed by customers at the Chinese buffet is normally distributed with mean2925 and standard deviation 594. One randomly selected customer is observed to see how many calories Xthat customer consumes. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X-N 2925#b. Find the probability that the customer consumes fewer than 2583 calories.c. What proportion of the customers consumed more than 3117 calories?*EQuestion Help: Written Example Message instructor-Submit Question Jump to Answer$40RDEFC%5‒‒ Q Search^T6JLGB5944-&74+*N8o oH JYO(KMTioOhLA

Normal distribution is known as symmetrical distribution, Symmetrical means ( no skewness ) It…

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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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A group of high school students was asked how many hours per week they thought would be reasonable for teachers to expect them to spend on homework and assignments. The responses are recorded in the table below. Calculate the mean number of hours that students thought was reasonable for teachers toexpect them to spend on homework and assignments. Calculate the standard deviation for the number of hours that students thought wasreasonable for teachers to expect them to spend on homework and assignments. Hours Number of Students 0-4 5 5-9 8 10-14 21 15-19 17 20-24 3 25-29 2
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P61, the 61-percentile. This is the temperature reading separating the bottom 61% from the top 39%.P61 =
The average number of words in a romance novel is 64,387 and the standard deviation is 17,436. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( b. Find the proportion of all novels that are between 48,695 and 66,131 words. c. The 95th percentile for novels is words. (Round to the nearest word) d. The middle 80% of romance novels have from words to words. (Round to the nearest word)
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
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual.b. Find the probability that a randomly selected person's IQ is over 108. Round your answer to 4 decimal places.c. A school offers special services for all children in the bottom 6% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1: Q3: IQR:
The daily electric consumption of two houses were recorded. House A has consumes 375W (mean) the standard deviation is 15W. While House B uses 250W (mean), the standard deviation is 22W. 1. Find the probability for each house that the electric usage will not exceed 400W.2. Find the probability that both houses will exceed 400W in usage.3.Given the probability of 0.02, how much electricity must House B consume to avoid exceeding?
The average score of all golfers for a particular course has a mean of 61 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 62. Round to four decimal places. O A. 0.1293 B. 0.3707 O C. 0.4772 O D. 0.0228
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find Pg9, the 69-percentile. This is the temperature reading separating the bottom 69% from the top 31%. P69 = °C
Find the standard deviation of the following numbers (Round your answer to 4 decimal places.): 1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P70, the 70-percentile. This is the temperature reading separating the bottom 70% from the top 30%.P70 = °C
The average score of all golfers for a particular course has a mean of 66 and a standard deviation of 4. Suppose 64 golfers played the course today. Find the probability that the average score of the 64 golfers exceeded 67. Round to four decimal places. O A. 0.0228 O B. 0.4772 O C. 0.1293 O D. 0.3707
The average score of all golfers for a particular course has a mean of 74 and a standard deviation of 5. Suppose 100 golfers played the course today. Find the probability that the average score of the 100 golfers exceeded 75. Round to four decimal places. O A. 0.3707 B. 0.1293 O C. 0.0228 O D. 0.4772

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