122. Exponential Probability Between 5:00 PM and 6:00 PM, carsarrive at Jiffy Lube at the rate of 9 cars per hour (0.15 car perminute). The following formula from statistics can be used todetermine the probability that a car will arrive within tminutes of 5:00 PM.F(t) = 1 - ea15t (a) Determine how many minutes are needed for theprobability to reach 50%.(b) Determine how many minutes are needed for theprobability to reach 80%.

Given: The cdf of t (minutes for the car to arrive) is Ft=1-e-0.15t

Answered: 122. Exponential Probability Between…

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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17 Select the correct answer. The average time to get your order at a restaurant is 15 minutes. What is probability that you will receive your order in the first 10 minutes? -X Note: P(asX sb) = -e15 dx where u is the average value. OA. 0. 294 OB. 0.473 OC. 0.487 OD. 0. 872
In 1938, a physicist named Frank Benford discovered that the number 1 appears in the first digit of random data more often than the number 2, the number 2 more often than the number 3 and so on. In general, the probability of occurrence of the first digit of a number can be written in the form of a probability function x + 1 P(X = x) = log. X a. Prove it P(X = x) = log ) untuk x = 1,2,3,4...,9 x+1 X x = 1,2,3,4..., 9 is a probability mass function 2 b. Find the cumulative distribution function of X!
Please solve (b) and (c) only!
Use the numbers given in step 8 to find the probability in step 9.
T15 Suppose that 90% of drivers are "careful" and 10% are "reckless." Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver the probability is 0.4. What is the probability that a randomly selected driver will have an accident within a year? (Enter your answer to two decimal places.)
When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 20 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction? Round your answer to 4 decimal places. i
. The probability that a newborn life (age 0) survives x years is given by: 110 - x xPo 0
4 a. )Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes, what is the probability that X is less than 32 minutes? (Do not round until the final step. Round your answer to 3 decimal places.) Provide your answer below: FEEDBACK
Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 1.97 days (note that times are measured continuously, not just in number of days). A random sample of 52 shipments are selected and their shipping times are observed. Approximate the probability that the average shipping time is less than 1.67 days. Enter your answer as a number accurate to 4 decimal places. Submit Question Chp -> % 7 8. 60 口 5 %24 %23 3m
The 2010 U.S. Census found the chance of a household being a certain size. The data is in the pmf below ("Households by age," 2013). Let X be the number (size) in a household. E(X) = k·P(X = k) 7 (or more) P(X=k) 0.267 0.336 0.158 0.137 0.063 0.024 0.015 k 1 2 3 5 6 a) The probability of a household size being more than 5, P(X > 5) = % b) In the long run, we are expected to see a household size of, E(X)= on average. Round answer to three decimal places. c) The probability that the size of a household is equal to two is %. d) The probability of a household size being three OR six is %.
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