Wednesday, March 18, 2020

JAWS THE BOOK essays

JAWS THE BOOK essays In Jaws terror strikes. This terror is what fuels the story. When the first attack is learned by the worn everyone is gripped with fear. As more die this grip tightens and slowly chokes the town. The terror starts because the killer is unseen and unknown, impossible to see and impossible to escape. There is also the evident amount of death involved with the shark attack. The town is soon to fail with the attack of a shark on a local water front. The first wave of terror would have to be that there is a creature living right near you but totally hidden. Less then a mile between the shark and people, the shark sees you but you will never see the shark. Not only is it unseen but also heartless and mindless. It has a need to feast and anything in the water is fair game for it, no matter how inaccessible. People realize they kill and feel some amount of remorse or pain for what they do. A shark does not, what he eats, what he kills does not matter to it. The next wave of terror is the death. Christine Watkins went for a swim after a night of fun and out of no where the shark speeds over and takes a chunk out of her left leg. No one sees her die but they sure do find her body, parts. Ever your mother cant protect you. When the young boy Alex Kinter begs for a little floating on his raft he never sees the monstrous beast slide up and swallow him down. When is it safe to swim when there is a large heartless beast that seems to never leave in the water. A quick dip could be your last, a breath of fresh air could be your last word. Terror continues out of water, a community based on vacationers and the water is stopped cold when all of the water is unsafe. Business depends on custimers and with no customers business fails. The pyramid effect takes place first the vacationers do not come in fear of dying. Then local business begin to go down. After the citizens of the town dont make money. People must...

Monday, March 2, 2020

Use Conditional Probability to Calculate Intersections

Use Conditional Probability to Calculate Intersections The conditional probability of an event is the probability that an event A occurs given that another event B has already occurred. This type of probability is calculated by restricting the sample space that we’re working with to only the set B. The formula for conditional probability can be rewritten using some basic algebra. Instead of the formula: P(A | B) P(A ∠© B) /P( B ), we multiply both sides by P( B ) and obtain the equivalent formula: P(A | B) x P( B) P(A ∠© B). We can then use this formula to find the probability that two events occur by using the conditional probability. Use of Formula This version of the formula is most useful when we know the conditional probability of A given B as well as the probability of the event B. If this is the case, then we can calculate the probability of the intersection of A given B by simply multiplying two other probabilities. The probability of the intersection of two events is an important number because it is the probability that both events occur. Examples For our first example, suppose that we know the following values for probabilities: P(A | B) 0.8 and P( B ) 0.5. The probability P(A ∠© B) 0.8 x 0.5 0.4. While the above example shows how the formula works, it may not be the most illuminating as to how useful the above formula is. So we will consider another example. There is a high school with 400 students, of which 120 are male and 280 are female. Of the males, 60% are currently enrolled in a mathematics course. Of the females, 80% are currently enrolled in a mathematics course. What is the probability that a randomly selected student is a female who is enrolled in a mathematics course? Here we let F denote the event â€Å"Selected student is a female† and M the event â€Å"Selected student is enrolled in a mathematics course.† We need to determine the probability of the intersection of these two events, or P(M ∠© F). The above formula shows us that P(M ∠© F) P( M|F ) x P( F ). The probability that a female is selected is P( F ) 280/400 70%. The conditional probability that the student selected is enrolled in a mathematics course, given that a female has been selected is P( M|F ) 80%. We multiply these probabilities together and see that we have an 80% x 70% 56% probability of selecting a female student who is enrolled in a mathematics course. Test for Independence The above formula relating conditional probability and the probability of intersection gives us an easy way to tell if we are dealing with two independent events. Since events A and B are independent if P(A | B) P( A ), it follows from the above formula that events A and B are independent if and only if: P( A ) x P( B ) P(A ∠© B) So if we know that P( A ) 0.5, P( B ) 0.6 and P(A ∠© B) 0.2, without knowing anything else we can determine that these events are not independent. We know this because P( A ) x P( B ) 0.5 x 0.6 0.3.   This is not the probability of the intersection of A and B.