The number of people entering a security checkin lineup in a 15minute interval at a medium sized airport can be modeled by the following probability model: 713.1 2 P(X:$): m:07132,\". I! Part (a) What does 18.7 represent in the probability model? Select the most appropriate explanation below' 0 A. 18.7 is the rate at which people enter the security checkin lineup every 15 minutes. 0 3.18.7 represents a weightedaverage of the number of people who enter the a security checkin lineup every 15minutes' O C' 18.7 is the standard deviation of the distribution of people entering the security check-in lineup every 15minutes. @ D. 18.7 represents the average number of people who enter the a security checkin lineup every 15minutes' O E. 18.7 represents how much skewed the distribution of values is. Part (b) Compute the probability that 15 people enter the security checkin lineup in a 15minute interval. Use four decimals in your answer. Part (1:) Compute the probability that at least 4 people will enter the security check-in lineup in a 5-minute interval. Enter answer to four decimals. Part (d) In the past 15minutes, you have been told that somewhere between 15 and 20 people, inclusive, have entered the security lineup. Compute the probability that this uncertain number is 17. (use four decimals in your answer) Not sure how to perform some of the tasks? Click to see similar problem A biologist captures 2'l grizzly bears during the spring, and fits each with a radio collar. At the end of summer, the biologist is to observe 15 grizzly bears from a helicopter, and count the number that are radio collared. This count is represented by the random variable X. Suppose there are 110 grizzly bears in the population. (a) What is the probability that of the '15 grizzly bears observed, 3 had radio collars? Use four decimals in your answer. P(X : 3) : E) (b) Find the probability that between 4 and 8 (inclusive) of the 15 grizzly bears observed were radio collared? P(4 S X g 8) : ':' (use four decimals) (c) How many of the 15 grizzly bears observe from the helicopter does the biologist expect to be radiocollared? Provide the standard deviation as well. E(X) : (fl (use two decimals) SD(X) ' |(use two decimals) (d) The biologist gets back from the helicopter observation expedition, and was asked the question: How many radio collared grizzly bears did you see? The biologist cannot remember exactly, so responds " somewhere between 5 and 9 (inclusive) \". Gen this information, what is the probability that the biologist saw 7 radiocollared grizzly bears? ' ' (use four decimals in your answer)