Directions: During a certain part of the day, the timebetween arrivals of automobiles at the tollgate on a turnpikeis an exponential random variable with expected value 30seconds.1. Find the probability that the time between successivearrivals is more than 70 seconds.Probability =2. Find the probability that the time between successivearrivals is greater than 10 seconds and less than 50seconds.Probability =

Expected value E(x)=30Let "x" be the time between successive arrivalsA random variable…

Answered: Directions: During a certain part of…

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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Probability of raining during the month of April in nyc is 0.33. What is the probability that it will rain 2 of the next 3 days ?
A group of people were asked if some psychics can help solve murder cases. 197 responded "yes", and 233 responded "no". Find the probability that if a person is chosen at random, the person does NOT believes some psychics can help solve murder cases. Probability = (Round to 4 decimal places)
A production line stops operating once a defective item is produced. The probability of producing a defective item is 0.001. What is the probability that the line stops production on the 1000 item produced.
The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.
You are appearing at 6 consecutive exams. Probability for you to pass each of the exam, p = 4/5. Once you pass an exam, there is no need to sit for the rest. What is the probability that you pass having sat for all 6 exams?
Two dice are rolled at the same time. Find the probability of each event listed when the probability is given as P(die 1, die 2). For example, if you want to know the probability that you roll a 3 on the first die and and a 5 on the second die, it would be written as P(3, 5). Give your answer as a decimal rounded to the thousandth place (three numbers after the decimal). P(1, 1) = P(both odd) P(even, odd): P(2 anywhere) = P(sum of 8) = P(sum of 1) =
1 point The following table shows 120 patients classified according to their blood sugar levels and gender. A patient is selected at random from the 120 patients. The probability that the patient selected is a female and has a high blood sugar level is: Gender Male (M) Female (F ) Blood sugar level Low (L) Normal (N) High ( H) 40 20 30 10 15 0.208 0.375 0.125 0.6
Exhibit 5-10The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week. Refer to Exhibit 5-10. The expected number of days Pete will catch fish is?
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a Merit scholarship (M) and an Athletic scholarship (A) . The probability that you recieve an Athletic scholarship is 0.28. The probability of receiving both scholarship is 0.19. The probability of getting at least one of the scholarship is 0.42 What is the probability that you will receive a Merit scholarship?

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