The following table lists the probability distribution of car sales per day in a used cardealer based on past data. P(X) is the probability of the corresponding value of X = x.Calculate the expected number of sales per day and followed by its standard deviation.P(X)0.110.250.320.35Total1.00

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Answered: The following table lists the…

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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On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .06 .40 .28 .18 .05 .03 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.885 grams and a standard deviation of 0.319 grams. Find the probability of randomly selecting a cigarette with 0.407 grams of nicotine or less. Round your answer to four decimals. P(X < 0.407) =
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.974 grams and a standard deviation of 0.308 grams. Find the probability of randomly selecting a cigarette with 0.697 grams of nicotine or less. Round your answer to four decimals. P(X<0.697)=
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 1.7 seconds after the person arrives is P(x = 1.7) = d. The probability that the wave will crash onto the beach between 1.5 and 3.9 seconds after the person arrives is P(1.5 1) = f. Find the maximum for the lower quartile. seconds.
Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.6 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is c. The probability that wave will crash onto the beach exactly 0.7 seconds after the person arrives is P(x = 0.7) = d. The probability that the wave will crash the beach between 1.6 and 5.1 seconds after the person arrives is P(1.6 3.72) = f. Suppose that the person has already been standing at the shoreline for 0.8 seconds without a wave crashing in. Find the probability that it will take between 1.4 and 3.3 seconds for the wave to crash onto the shoreline. g. 65% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the minimum for the upper quartile. seconds.
Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is: a. 0.59 b. 0.27 c. 0.93 d. 0.75
Today, the waves are crashing onto the beach every 4.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.1 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is b. The standard deviation is C. The probability that wave will crash onto the beach exactly 2.8 seconds after the person arrives is P(x = 2.8) = d. The probability that the wave will crash onto the beach between 0.4 and 1.9 seconds after the person arrives is P(0.4 0.82) = f. Suppose that the person has already been standing at the shoreline for 0.5 seconds without a wave crashing in. Find the probability that it will take between 1 and 4 seconds for the wave to crash onto the shoreline. g. 26% of the time a person will wait at least how long before the wave crashes in? seconds. h. Find the maximum for the lower quartile. seconds.
Today, the waves are crashing onto the beach every 5.4 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.4 seconds. Round to 4 decimal places where possible. a. The mean of this distribution is 2.7 b. The standard deviation is c. The probability that wave will crash onto the beach exactly 4.1 seconds after the person arrives is P(x = 4.1) =| d. The probability that the wave will crash onto the beach between 1.8 and 4.8 seconds after the person arrives is P(1.8 2.28) = f. Find the maximum for the lower quartile. seconds.
Empirical research on stock market data indicates that over the course of a year, 60% of stocks go up. A random sample of 600 stocks is going to be chosen at the beginning of next year. Let p be the proportion of the stocks in the sample that go up over the course of a year. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(p>0.64), which is the probability that more than 64% of the stocks in the sample go up over the course of the year. Round your answer to four decimal places. X 5
The mean is μ = 15 and the standard deviation is σ = 0.9.Find the probability that X is between 14.3 and 16.1.
On average, indoor cats live to 12 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. %3D a. What is the distribution of X? X N( b. Find the probability that an indoor cat dies when it is between 12.7 and 15.6 years old. c. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years Hint:

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