What is the probability that at least 10 orders arrive in 30 seconds? What is the probability that the next order arrives in exactly 30 seconds?
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A: Given mean, λ=0.21 The probability distribution of Poisson distribution isPX=x=e-λλxx!
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A: The probability describes how likely an event occurs.
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You have just started a new online greeting card company, “Cool Cards by College Students.” Orders arrive at your web server as a Poisson process at a rate of 25 per minute.
- What is the probability that at least 10 orders arrive in 30 seconds?
- What is the probability that the next order arrives in exactly 30 seconds?
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- A large bus company experience bus breakdowns at the rate of 2.5 per day. Find the probability that more than two breakdowns occur on two of the next 5 days.A school newspaper reporter decides to randomly survey 18 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 15% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. find the probability that at most 3 students will attend. (round your answer to four decimal places.) find the probability that more than 2 students will attend. (round your answer to four decimal places.)It is estimated that 20% of luxury cars manufactured in 2012 were silver. A car dealership typically sells 20 luxury cars per month. What is the probability that 8 of the luxury cars sold per month are silver?
- Suppose that a telemarketer has a 12% chance of making a sale on any given call. If the telemarketer makes 5 calls in a shift, calculate: The probability that the telemarketer will make exactly 2 sales during the shift.The average interval between calls on a phone is 10 minutes. What is the probability that there will be 8 calls in a given one hour interval?A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)
- A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free-throws attempts are independent, what is the probability that he makes at least 90 of these attempts?The airline knows that about 7 percent of those who buy a plane ticket do not arrive for the flight. The plane has seats for 250 passengers, but the airline has sold 265 tickets. Approximate the probability that there will be enough seats for everyone arriving on the flight.
