4. Suppose the number of accidents per year in a large factory follows a Poisson distribution with A = 5 per year. For a)-d), make sure to 1) define a random variable, 2) state its distribution, and 3) rephrase the question as a probability expression, as we have done in class. a) What is the probability that there are exactly 4 accidents in a given year? b) What is the probability that there are exactly 6 accidents in a given 6-month period? c) What is the probability that there is at least 1 accident in a given month? d) What is the probability that there are more than 12 and less than 16 accidents in a given 3-year period?

Q: 20) In one town, 45% of all voters are Democrats. If four voters are randomly selected for a survey,…

A: This is the case of binomial because there are only two possible outcomes, i.e., Democrats or not…

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: 5. Trains arrive at the yard every 10 minutes and the service time is 20 minutes. If the line…

A: Here I have answered question number (a) and (c). Please repost the question(b) separately to get…

Q: Of a group of undergraduates, 5 are studying chemistry, 3 physics and 2 statistics. If 3 students…

A:

Q: Assume that when adults with smartphones are randomly selected, 56% use them in meetings or classes.…

A: Let X be the number of adults use their smartphones in meeting or classes which follows binomial…

Q: American Airtines' flights from Denver to Atlanta are on time 90 % of the time. Suppose 14 flights…

A: Givenp=0.9n=14Let "x" be no.of on-timex~Binomial(n=14,p=0.9)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1...,n

Q: 4- The table below describes the smoking habits of a group of 1157 asthma sufferers. Regular Smoker…

A: The question is about probability Given :   To find : a ) Prob. that the person is an occasional…

Q: Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes.…

A: It is given that the random variable X follows Binomial distribution with parameter p = 47% = 0.47…

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 10 flights are…

A: For a defined random variable, X~B(n,p), the pmf is P(X=x)=nCxpxq(n-x) ; x=0,1,2,..n…

Q: 13.) Seventy three percent of drivers carry jumper cables in their vehicles. For a random sample of…

A: The probability that a driver carry jumper cables in the vehicle (p) is 0.73.Sample size (n) =…

Q: 1) The mean number of births per day is........? 2)  The probability​ that, in a​ day, there are 15…

A: Since , the number of atoms decayed during 365 days is 29522/365=80.8822 Let , X be the number of…

Q: Delta Airlines' flights from Boston to Seattle are on time 60 % of the time. Suppose 9 flights are…

A: Given : Delta Airlines flights from Boston to Seattle are on time 60% Let p : Proportion of flights…

Q: ) Suppose the percentage of those completing a master's degree is 42%. In a random sample of 9…

A: n=sample size=9, p=42%

Q: uppose that in a certain community, 80% of drivers fasten their seat belt. Determine the probability…

A: Solution: Let X be the random variable that the number of drivers fasten their seat belt in certain…

Q: A math class consists of 25 students, 14 female and 11 male. Three students are selected at random…

A: There are 25 students,14 female and 11 male.Probability that first student being maleWe have to…

Q: Assume that when adults with smartphones are randomly selected, 41% use them in meetings or classes.…

A:

Q: 12. In a certain town, males and females form 50 percent of the population. It is known that 20…

A: Let, M be the event denoting a male is selected. F be the event denoting a female is selected. Let E…

Q: Assume that when adults smartphones are randomly selected, 38% use them in meetings or classes. if…

A: Answer:- According to the given information,  Probability of success, p = 38% = 0.38  Sample size, n…

Q: Assume that when adults with smartphones are randomly selected, 41% use them in meetings or classes.…

A: We have given that,  X be the random variable from binomial distribution with trails (n) = 11 and…

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: Given data Probability that adult with smartphones will use them in meetings  = 0.47 Number of…

Q: assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes.…

A:

Q: Q1. In a company, it is reported that 62% of employees are concerned about their health con- dition…

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Q: The probability that a randomly selected individual in a certain community has made an online…

A: We have to find out given probability...

Q: American Airlines' flights from Boston to Atlanta are on time 70 % of the time. Suppose 13 flights…

A:

Q: Delta Airlines' flights from Denver to Atlanta are on time 50 % of the time. Suppose 14 flights are…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 57​% use them in meetings or…

A:

Q: Assume that when adults with smart phones are randomly selected 53% use them in meetings or classes.…

A: Let X is a random variable that represents adults those use smartphone. In this case, binomial…