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MATH 1280-01 Introduction to Statistics - AY2025-T5
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The probability of getting exactly 3 successes in 10 trials when p=0.2 is:
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A factory produces widgets, and the weight of each widget is uniformly distributed between 50 and 70 grams. What is the probability that a randomly selected widget weighs more than 60 grams?
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If the exponential distribution has a rate of 2 events per hour, what is the probability that no events occur in the first 30 minutes?
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The number of miles driven by a truck driver falls between 300 and 700 and follows a uniform distribution. At least how many miles does the truck driver travel on the furthest 10% of days?
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The length of a phone call, in minutes, is an exponential random variable with a decay parameter λ = 1/12. If another person arrives at a public telephone just before you, what is the probability that you will have to wait more than 5 minutes?
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A distribution is given as X ∼ Exp(λ). Which is the relation between the mean and the median?
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The cumulative distribution function (CDF) of a continuous random variable is the ______ of the probability density function.
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A continuous probability distribution is defined between x = 5 and x = 12. What is P(x = 15)?
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Which of the following statements about the Poisson and Exponential distributions is true?
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For a Poisson distribution with rate λ = 5, what is the expected value of the random variable X?
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