32. The probability of a man hitting the target is 4 (i) If he fires 7 times, what is the probability of his hitting the target at least once : (ii) How many times must he fire so that the probability of his hitting the target at least once is greater than 2/3.
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- If a number is randomly chosen from the interval (-3,3). What is the probability that the number is less than −8/3? Suppose that a number is randomly chosen from the interval (-6,2). What is the probability that the number chosen within 2 units away from 1? NOTE: ROUND OFF your answer to FOUR DECIMAL places.Results from trials for a new pill for sleeping are given in this table. slept better (B) no improvement (N) sleeping pill (S) 144 21 sugar tablet (T) 55 89 What is the probability that the subjects slept better if they took the sleeping pill = P(B|S) ? What is the probability that the subjects took the tablet if they slept better = P(T|B)? Give your answer as a fraction.(a) The probability that a student passes the P&S exam is 0.7. (i)Find the probability that a given student will pass the P&S exam after the third try. (ii)Find the probability that the third student who fails the P&S exam is found after the fifth student in a class of 9 students? (iii)Find the probability that at most 3 students will pass the P&S exam in a class of 7 students.
- You're on our way to earn a degree. In one of your courses, you need to pass an exam once to pass the class. The probability that it’d take you at most 6 attempts to pass the exam for once is 728⁄729. Calculate the probability that it would take you more than 3 attempts to pass the exam for once given that you can taake as many attempts as you need.For every attempt, the probability of passing the exam is constant.2 If the probability of an event E is (Simplify your answer.) then the probability that E will not occur is 3'A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
- A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer isWhat is the probability you will roll a double (two 1 ’s, two 2 ’s, two 3 ’s, and so on)? Your answer may be short but you must show what numbers you multiplied/divided/added/subtracted by to get your final answer. It would be written in ” P(E) = ” form.Q. 2 The probability that a smoker who consumes over 20 cigarettes a day will suffer from chronic respiratory illness is 4 The 10 probability that he will suffer from heart disease is The 10 probability that he will suffer from at least one of these ailments is 6.5 10 (i) Find the probability that the smoker will suffer from both ailments. (ii) Find the probability that he will suffer from heart disease given that he suffers from chronic respiratory illness. (iii) Find the probability that he will suffer from chronic respiratory illness given that he suffers from heart disease. (iv) Are events "chronic respiratory illness" and "heart disease independent"?