Give the marginal probability of (d) * Y = response time (Nearest second) X = number of Bars of Signal Strength P(Y) 1 2 3 4 0.15 0.1 0.05 -- 3 0.02 0.1 0.05 -- 0.02 0.03 0.2 -- 1 0.01 0.02 0.25 d P(X) 0.3 O 0.28
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- According to the report about the survey performed by Company XYZ that 60% of the people think that violence has increased in the oast 4 years. In a future random sample of 250 people in a certain age of more 20 years old group, if we let X be the number of such people in that sample who think that the proposal is correct. a) What is the approximate distribution of X with parameters?If the expected return on the market is 8% and the risk for your rate is 4%. What is the expected return for a stock with a beta equal to 2.00? Let X be a continuous random variable with mean μ and standard deviation σ. If X is transformed to Y = 2X + 3, what are the mean and standard deviation of Y?
- If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson distribution with parameter equal to 4 and that the probability that any emitted is recorded is p=0.9 find the probability distribution of the number Y of the particles recorded in a 1-hour and hence the probability that no particle is recordedDetermine the expected value and standard deviation of a random variable Y=2X+100 when X has a pmf given by: f(x)= 0.3 if x=2 f(x)= 0.3 if x=3 f(x)= 0.1 if x=4 f(x)= 0.3 if x=5Suppose X is a random variable taking values in the interval [0,2] with probability density function f(x) = 1-x/2. What is the variance of X?
- The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500 of young adults ages 20–39 in the United States. Apply the cnormal to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. ?(?>122)= Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 103. Express the result as a decimal precise to three places. ?(?<103)=A marriage counselor has traditionally seen that the proportion p of all married couples for whom her communication program can prevent divorce is 79%. After making some recent changes, the marriage counselor now claims that her program can prevent divorce in mot e than 79% of married couples. In a random sample of 225 married couples who completed her program, 194 of them stayed together. is there enougn evidence to suppore che marriage counselor's claim at the 0.10 level of sionificance:The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500 of young adults ages 20–39 in the United States. Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals, ?, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. ?(?>122)= Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 103. Express the result as a decimal precise to three places. ?(?<103)=
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