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- Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40. What is the meanSuppose people immigrate into a territory at a Poisson rate of 2 per day. Assume that 40% of immigrants are adults and 60% are kids. a. What is the probability that 4 adult immigrants arrive in the next 3 days? b. What is the probability that the time elapsed between the arrival of 24th and the 25th kids is more than 2 days? c. Find mean and the variance of the time needed to have 50 adult immigrants in the territory.Let a be a random variable representing the percentage of protein content for early bloom alfalfa hay. The average percentage protein content of such early bloom alfalfa should be u = 17.2%. A farmer's co-op is thinking of buying a large amount of baled hay but suspects that the hay is from a later summer cutting with lower protein content. A small amount of hay was removed from each bale of a random sample of 50 bales. The average protein content from the samples was determined by a local agricultural college to be -15.8% with a sample standard deviation of S = 5.3%- At a = .05, does this hay have lower average protein content than the early bloom alfalfa?
- 5Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 107 homicides. After finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the Poisson probabilities:Question 15 You want to measure traffic on the Lake Lewisville Toll bridge during the late evening. Select all the discrete random variables (there may be more than one). The number of cars that use the bridge in one hour. The time between each car crossing the bridge. The time each car crosses the bridge. The total number of cars that cross the bridge. Submit Question Search €0 W
- A certain type of tree has seedlings randomly dispersed in a large area, with the mean density of seedlings being approximately three per square yard. If the seedlings are randomly dispersed, the number of seedlings per region, Y can be modelled as a Poisson random variable. If a 1 forester randomly locates ten 1-square-yard sampling regions in the area, the probability that none of the regions will contain seedlings is 0.0498. 2.3.1 If the seedlings really are randomly dispersed, the number of seedlings per region, Y, can be modelled as a Poisson random variable with 2 = 3. Interpret 1 =3. 2.3.2 State the moment generating function_of the random variable Y.Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?A certain model of an automobile is having a fault in the braking mechanism after sale. This is a very serious failure with catastrophic results at high speed. The distribution of the number of cars per year that will experience the fault is found to be a random variable with x=5. a) What is the probability that at most 3 cars per year will experience a catastrophe ? b) What is the probability that more than 1 car per year will experience a catastrophe ?