Q4/ The number of messages sent to a computer bulletin board is a Poisson random variable with a mean of 5 messages per hour. (a) What is the probability that 5 messages are received in 1 hour? (b) What is the probability that 10 messages are received in 1.5 hour?
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- Fifty random shoppers at an electronics store have been interviewed and 35 of them intend to purchase a newly released smart phone. What probability distribution describes this situation and what are its mean and standard deviation of phone sales if we are concerned about 1071 shoppers that day? Compute to the nearest whole number.A study conducted at a college shows that 52% of the school's graduates find a job in their chosen field within a year of graduation. Find the probability that among 10 randomly selected graduates at most 5 find a job in his/her chosen field within a year of graduating. (Binomial Distribution)5 out of 100 items manufactured by a machine are defective. If a random sample of 60 items are taken, find the probability of getting 6 defective items by using the binomial distribution,
- A G's production of 950 manufactured parts contains 70 parts that do not meet the customer requirements . Two parts are selected randomly without replacement from the batch. What is the probability that the second part is defective given that the first part is defective?Suppose an online shop is selling 10 scientific calculators but the seller is unaware that 2 of these calculators are defective. Suppose you buy 3 scientific calculators from this shop, determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the scientific calculators that are defective. and what is the probability that all calculators bought from the shop are functioning properly and what if only 1 calculator is functioning properlyOne hundred draws will be made at random with replacement from a box with four tickets: 3, 5, 7, 9. The SD of the box is 2.24. What is the probability that the sum of the draws will be more than 630? Enter a value between 0 and 100 with two decimal points representing the percent chance that this occurs.
- he table summarizes results from 977 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 49 71 No 222 635 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Sociologist say that 90% of married women dislike their husband's mother . Suppose 6 married women are having coffee together one morning. What is the probability thatData from 14 cities were combined for a 20-year-period, and the total 280 city-years included a total of 168 homicides. After finding the mean number of homicides, find the probability that a randomly selected city has the followng number of homicides. Homicides each city-year: 0, 1, 2, 3, 4 Actual results: 155, 90, 28, 6, 1 P(0)=
- In a 24-hour call center, complaints arrive at a mean rate of 1 complaint every 3 hours. (a) Find the probability that there are at most 3 complaints in the past 10 hours. (b) A day is “doomed” if there are at least 6 complaints. Each day, an inspector counts the number of complaints at the end of the day and determines whether the day was doomed. Find the probability that the inspector has worked for 7 days when he records the 3rd doomed day. (c) Find the probability that there are at least 2 complaints in the past 12 hours given that there are at most 5 complaints in the past 12 hoursTwo hundred draws will be made at random with replacement from a box with four tickets: 1, 3, 5, 7. The SD of the box is 2.24. What is the probability that the sum of the draws will be between 800 and 835? Enter a value between 0 and 100 with two decimal points representing the percent chance that this occurs.