If on the average rain falls on 12 days in every 30 days, find the probability (1) that the first four days of a given week will be fine, and the remainder wet (ii) that rain will fall on just three days of a given week.
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- If the probability of one event occurring is 1/4 and the probability of another event occurring is 1/10, what is the probability that both events will occur?In the sport of basketball, a player will sometimes get the opportunity to shoot two free throws without being affected by any other players in the game. Assume that, for one player, these two free throws are independent of each other. If this player makes free throws 80% of the time, what is the probability that this player will make neither free throw in the opportunity?Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
- A place kicker in pro foot ball has a 77% probability of making a field goal over 40 yd and each attempted field goal is independent if the kicker made his 1st two but missed his 3rd attempt and is now trying for his 4th field goal of the game to win in overtime what is the probability that his team will win the gameOn average a certain intersection results in 3 traffic accidents per month. What is the probability that for any given month at this intersection: 5 or 6 accidents in half of a year?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 mice
- Last semester, a certain professor gave 21 As out of 330 grades. If one of the professor's students from last semester were selected randomly, what is the probability that student received an A? (Assume that each student receives one grade.)Suppose that the probability that a light bulb works is 0.95. If there are 4 light bulbs in a straight of light bulbs and each of these light bulbs work independently what is the probability that all of them work? 0.90 0.97 0.95 0.81Find the probability that when a couple has two children, atleast one of them is a girl (assume boys and girls are equally likely) simplify answer