MTH410 Quiz 4 Top Solution score A+

On average, Colton has noticed that 14 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that at most 5 trains will pass his house in a 7-hour time period? (Round your answer to three decimal places.) The time interval of interest is 7 hours. There is an average of 14 trains per 24 hours or 14/(24/7)=49/12 trains per 7 hours. The probability can be found using the Poisson distribution with parameter λ=49/12. Let X be the number of trains that pass in the 7-hour time period. According to the formula, we find: ≈0.771 A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball pitcher throws 30 curve balls, what is the probability that no more than 16 of them are strikes? This probability can be found using the binomial distribution with success probability p=0.626 and 30 trials. To find the probability that no more than 16 of the pitches are strikes, use a calculator or computer: P(X≤16)=binomcdf(30,0.626,16)=0.194.