It has been found that the waiting time to obtain a table in a cafe during rush hour has a normal distribution with a mean of 130.7 min. and a standard deviation of 12.5 min. How long do people have to wait to be given a table with the following probability? a) P (X ≥ Xo) = 0.83. b) P (X ≥ Xo) = 0.12 c) P (X ≤ Xo) = 0.92 d) P (X ≤ Xo) = 0.07

It has been found that the waiting time to obtain a table in a cafe during rush hour has a normal distribution with a mean of 130.7 min. and a standard deviation of 12.5 min. How long do people have to wait to be given a table with the following probability? a) P (X ≥ Xo) = 0.83. b) P (X ≥ Xo) = 0.12 c) P (X ≤ Xo) = 0.92 d) P (X ≤ Xo) = 0.07

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...

See similar textbooks

Similar questions

On average, indoor cats live to 15 years old with a standard deviation of 2.4 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 11.5 and 12.7 years old. c. The middle 30% of indoor cats' age of death lies between what two numbers?     Low:  years     High:  years
On average, indoor cats live to 13 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that an indoor cat dies when it is between 9.3 and 10.5 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers?     Low: years      High: years
On average, indoor cats live to 12 years old with a standard deviation of 2.6 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N( , )b. Find the probability that an indoor cat dies when it is between 11 and 12.1 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers?     Low: years     High: years
On average, indoor cats live to 13 years old with a standard deviation of 2.4 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that an indoor cat dies when it is between 11.2 and 12.3 years old. c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: years High: years
6.- Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a standard deviation of 0.11 oz. a). Find the probability that a sample of 36 cans will have a mean amount of at least 12.19 oz. P( > 12.19) = b) Find x0 such that P(11.95 < X < x0 ) = 0.99
Suppose X is a non-standard normal variable, with a mean of 145, and std deviation of 10 (i.e. X~N(145,10)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = 0.72, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).
Suppose X is a non-standard normal variable, with a mean of 122, and std deviation of 15 (i.e. X~N(122,15)). You have an observation (z) on a standard normal scale (i.e. Z~N(0,1)). If z = -1.39, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).
On average, indoor cats live to 16 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 14.1 and 17.4 years old. c. The middle 20% of indoor cats' age of death lies between what two numbers? Low: years? High: years?
On average, indoor cats live to 16 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 17 and 19.6 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: years
On average, indoor cats live to 16 years old with a standard deviation of 2.6 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. Find the probability that an indoor cat dies when it is between 15.4 and 17.5 years old. c. The middle 30% of indoor cats' age of death lies between what two numbers? Low: years High: years
Suppose that average age at first marriage is 23.33 years old, with a standard deviation of 6.13. If one got married at 26 years old (X=26), how far (in standard deviations) is that person from the average age at first marriage? (Hint: convert X into a Z-score). Show work.
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median recovery time? daysc. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 3.9 days in recovery? e. What is the probability of spending between 2.4 and 3.3 days in recovery? f. The 85th percentile for recovery times is days. PLEASE ANSWERR ALLL QUESTIONS!! PLEASE STOP JUST ANSWERING 3 !!!