This is a question for my statistics class, please help me solve it. Thanks! 6. Which of

This is a question for my statistics class, please help me solve it. Thanks!

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6. Which of the following about the random variables and probability distributions is a true statement? Explain why other statements are not correct. O Let X be a discrete random variable. Then F(5) =1- P(X 2 5). When the probability of success is 0.5, the shape of the binomial distribution is sym- metric. So, the normal probability distribution can be used as an approximation to the binomial distribution without any condition. 3 A toll bridge charges $4 for passenger cars and free for the other vehicles. It is known that during daytime hours 10% of all vehicles are passenger cars. Suppose 25 vehicles cross the bridge during a particular daytime period and let random variable X be the number of passenger cars among the 25 vehicles. The resulting expected toll revenue is E(X) = 25 x 0.1 = $2.5. @ On average, a spider web catches 1.5 insects per night. Let X be the number of insects that the web can catch per night, then X is a Poisson random variable with A = 1.5. The probability that tomorrow night the web catches 2 or more insects is P(X > 2) = 1- P(X = 1) = 1 – 1.5e-1.5. %3D 6 For a normal distribution, nearly all of the data will fall within three standard deviations from the mean. 6. Which of the following about the random variables and probability distributions is a true statement? Explain why other statements are not correct. O Let X be a discrete random variable. Then F(5) =1- P(X 2 5). When the probability of success is 0.5, the shape of the binomial distribution is sym- metric. So, the normal probability distribution can be used as an approximation to the binomial distribution without any condition. 3 A toll bridge charges $4 for passenger cars and free for the other vehicles. It is known that during daytime hours 10% of all vehicles are passenger cars. Suppose 25 vehicles cross the bridge during a particular daytime period and let random variable X be the number of passenger cars among the 25 vehicles. The resulting expected toll revenue is E(X) = 25 x 0.1 = $2.5. @ On average, a spider web catches 1.5 insects per night. Let X be the number of insects that the web can catch per night, then X is a Poisson random variable with A = 1.5. The probability that tomorrow night the web catches 2 or more insects is P(X > 2) = 1- P(X = 1) = 1 – 1.5e-1.5. %3D 6 For a normal distribution, nearly all of the data will fall within three standard deviations from the mean.

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AG 1 F5 and 18 of fn da 1 fn dn But this is valid for continuous random variable So fabe i B... View the full answer