Eight coins are thrown simultancously. Show that the probability of obtaining atleast 6 heads is 37/256.
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- Calculate the probability of obtaining more heads than tails, if a coin is tossed 4 times.Kelly realized that 4% of his students' exams have academic integrity issues. He plans to go through the exams at random to find one with academic integrity issues. Let X be the number of exams Kelly selects until he finds one with academic integrity issues. a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.A six-sided die is rolled 5 times, what is the probability of rolling 4 less than 3
- A survey in a Ruga community indicates, 15% of the inhabitants are herders. 10 people areinterviewed at random if they herders or not, find the probability that exactly 3 persons chosenat are herders. Use combination method to solve questionAssume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 7 adult smartphone users are randomly selected, find the probability that at least 3 of them use their smartphones in meetings or classes. The probability is 0.108 (Round to four decimal places as needed.)Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
- According to the statistics, 22% of cars in the city were at least 12 years old in 2004. Assume that this result holds true for the current population of all cars in the city. Random sample of 500 cars are selected at random. Approximate the probability that 90 to 95 cars are at least 12 years old?The probability that a newly hatched sea turtle will make it alive to the water is 54%. Suppose 3 newly hatched sea turtle are randomly selected . What is the probability that all of them will make it to the water alive? What is the probability that at least 1 newly hatched turtle will make it to the water alive?The mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?
- If (the average number of mice / dunums) in a corn field consisting of 50 dunums is 1O, Calculate the probability of a given dunam containing more than 15 miceA box contains 10 red and 9 blue balls. If 3 draws are randomly made one by one without replacement from the box, find the probability of getting red in the third draw given that the first draw and the second draw were' red: Round answer to 4 decimal places Answer:10% are born as left handed. Calculate the probability that in a batch of 150 students, there are most 10 of them are left handed