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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The cost of all maintenance for a car during its first year is approximately exponentially distributed with a mean of $131. The lambda of this distribution is The probability that the cost is larger than $157 is P(x ≥ $157) = The probability that the cost is less than $97 is P(x ≤ $97) = The probability that the cost is between $121 and $143 is P($121 ≤ x ≤ $143) = The 20th percentile is cost of maintenance $
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A sewage treatment plant is located at a high ground in the town. The probability that it will be inundated during a flood is 0.02. What is the probability that the plant will not be inundated for a period of 5 years? [Note the mean rate of flood that would cause inundation = 0.6 x 0.02=0.012]
An agency collects demographics concerning the number of people in families per household in a certain country. Assume the distribution of the number of people per household is as shown in the table to the right. P(x) D 0.27 0.25 a. Calculate the expected number of people in families per household in the country. b. Compute the standard deviation of the number of people in families per household. 0.27 0.14 0.04 0.03 7 a. The expected number of people in families per household is (Type an integer or a decimal.) 345 6
An agency collects demographics concerning the number of people in families per household in a certain country. ASsume the distribution of the number of people per household is as shown in the table to the right. P(x) D 0.25 0.25 a. Calculate the expected number of people in families per household in the country. b. Compute the standard deviation of the number of people in families per household. 0.30 0.13 0.05 0.02 a. The expected number of people in families per household is (Type an integer or a decimal.) b. The standard deviation of the number of people in families per household is (Type an integer or decimal rounded to four decimal places as needed.) Enter your answer in each of the answer boxes. MacBook Pro 80 888 A> 000 esc @ 2$ 1 2 3 4 5 7 8 9 Q W E T. Y U P X234 567
A Lumix Panasonic camera has a rechargeable battery. The battery life before recharging is needed can be modeled as an exponential distribution with λ = 0.05. a. Calculate the standard deviation of the battery’s life before recharging. b. Calculate the probability that the battery will last more than 20 hours.
Admission test scores for a big university's freshmen course are regularly distributed, with the mean being 72.5 and the standard deviation being 13.0. 1. Calculate the probability that a randomly chosen exam paper would provide a score between 70 and 80 on a scale from 1 to 10. 2. Figure out what percentage of 40 randomly chosen test papers have an average score X that falls between 70 and 80 points.
A reference states that average daily high temperature in June in a particular city is 86°F with a standard deviation of 7, and it can be assumed that they to follow a normal distribution. We use the following equation to convert "F (Fahrenheit) to "C(Celsius) C-(F-32)=² (a) Write the probability model for the distribution of temperature in C in June in this city. (Round your standard deviation to four decimal places) ~~-[ (b) What is the probability of observing a 31°C (which roughly corresponds to 87.) temperature or higher a a randemily selected day in June in this city? Calculate using the "C model from part (a). (Round your answer to four decimal places.) (c) The probability of observing a 67.8°F temperature or higher on a randomly selected day in June this city is approximately 0.3983, Did you get the same answer or a different answer in part (b)? Are you surprised? Explain. Both sets of calculations produced approximately the same answer which isn't surprising since once we…
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
Assume that the lifetime of a certain component has an exponential distribution with mean 5 (and that time is measured in years). a. What is the standard deviation of lifetimes? b. What is the probability that a component lasts longer than 10 years? c. What is the probability that a component will function for at least 10 years, given that it has already function for 3 years?
In the following probability distribution, X represents the number of calls a telemarketer makes in a day, and the probability they make that many calls. П. 75 0.05 X 100 50 0.01 125 150 175 P(X) 0.15 0.20 0.30 a) Find P(X=175) b) Find E[X] ( c) Find the Variance and Standard Deviation ofX
The lifetime (Y) of a semiconductor laser has a lognormal distribution with a mean of 10 and a standard deviation of 5. a. Calculate the parameters of the lognormal distribution. b. Determine the probability that a lifetime exceeds 10,000 hours. c. Determine the lifetime that is exceeded by 90% of lasers.

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