SpeedWay airline flies from city A to city B. The flight time is normally distributed with a mean of 260 minutes and a standard deviation of 15 minutes.

SpeedWay airline flies from city A to city B. The flight time is normally distributed with a mean of 260 minutes and a standard deviation of 15 minutes. A flight is late if it takes longer than 275 minutes. (a) [2 marks] Calculate the probability that a flight is not late. (b) [3 marks] The flight is considered on time if it takes between m and 275 minutes. The probability that a flight is on time is 0.830. Find the value of m. (c) [3 marks] During a week, SpeedWay has 12 flights from city A to city B. The time taken for any flight is independent of the time taken by any other flight. Calculate the probability that at least 7 of these flights are on time. (d) [4 marks] Given that at least 7 of these flights are on time, find the probability that exactly 10 flights are…

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Suppose that you are at a casino playing roulette. The strategy you are using is to, before each bet, flip a coin to determine whether to place your bet on red or on black (which, according to the rules of the game, should each have almost a 50% chance of occurring).

Suppose that you are at a casino playing roulette. The strategy you are using is to, before each bet, flip a coin to determine whether to place your bet on red or on black (which, according to the rules of the game, should each have almost a 50% chance of occurring). After you’ve placed each bet, the roulette wheel is then spun.

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Crawling Babies: A study conducted at the University of Denver investigated whether babies take longer to learn to crawl in cold months, when they are often bundled in clothes that restrict their movement, than in warmer months.

18 Infants born during the study year were split into twelve groups, one for each birth month. We consider the average crawling age of babies in each group against the average temperature when the babies are six months old (that’s when babies often begin trying to crawl).

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A city council consists of ten members. Four are Democrats and six are Republicans. A committee of five to study transportation issues will be randomly selected.

A city council consists of ten members. Four are Democrats and six are Republicans. A committee of five to study transportation issues will be randomly selected. a. If one person on the city council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat?b. How many ways can the committee be formed if there are no restrictions on composition?c. How many ways can 3 Republicans be chosen?d. How many ways can 2 Democrats be chosen?e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrat. Your Question has been Solved | Hire me for complete Exam   Solved by verified study co-pilot   All Study Co-Pilots are evaluated by Gotit Pro as an expert in their subject area. Add to Solution Cart Contact Us Student review: (43…

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