Moment generating function for a random variable
The moment generating function for a random variable X is given by Mx(t) = (1/4)+ (3/4)*(1/(1-t)), t>1. Determine formulas for the density function and distribution function. Sketch graphs for fx and Fx.
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Cynthia has ordered 3 identical computers for the office. The probability this make and model of computer crashes before it is 2 years old is 0.08 and independent of each other. What is the probability that at the end of the two years, at least 2
A survey is to be made of the prevalence of the common disease in a large population. For any disease that affects atleast 1% of the individuals of the population, it is desired to estimate the total number of cases, with a coefficient of variatio
Cookie sales at a bakery follow a normal distribution with expected value of 10000 cookies. On 90 percent of days, the bakery sells less than 150000 cookies. The likelihood that sales drop below 5000 cookies is closest to?
Let x be the number of trials required to obtain a success where p is the probability of success on each trial. The hypothesis Ho: p=.1 is to be tested against the alternative Ha: p=.3. The hypothesis Ho is rejected is X<=4. What is the power o
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A box contains 18 working transistor and 7 defective transistors. You select 5 transistors from this box and solder them onto a circuit board. If you solder any defective transistors onto the circuit board, the circuit will not function. What is t
The two largest cable providers are Concast cable Connections, with 21.5 million subscribers, and Time Warner Cable with 11.0 million subscribers. Suppose the management of Time Warner Cable subjectively assesses a probability distribution for the
Calculate and interpret a confidence interval at the 99% confidence level for the proportion of all adult americans who have watched streamed programming.
A quality control experiment is to be done on a machine that fills tubes with toothpaste. It's specifications require that it till tubes with 4.7oz. A random sample of 40 tubes filled by the machine is taken and each tube is weighed. The resulting
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