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Magazine Problem 57
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) What is the probability density function?
Problem 58
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) What is the cumulative distribution function?
Problem 59
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) Draw the distribution.
Problem 60
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) Find \(P(x < 4)\)
Problem 61
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) Find the \(30^{\text { th }}\) percentile.
Problem 62
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) Find the median.
Problem 63
Use the following information to answer the next seven exercises. A distribution is given as \(X \sim \operatorname{Exp}(0.75).\) Which is larger, the mean or the median?
Problem 64
Use the following information to answer the next 16 exercises. Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. What is being measured here?
Problem 65
Use the following information to answer the next 16 exercises. Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. Are the data discrete or continuous?
Problem 66
Use the following information to answer the next 16 exercises. Carbon-14 is a radioactive element with a half-life of about 5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14. We are interested in the time (years) it takes to decay carbon-14. In words, define the random variable \(X .\)
