A local television station sells 15-second, 30-second, and 60 second advertising spots. Let x denote the length of a randomly selected commercial appearing on this station, and suppose that the probability distribution of x is given by the table below.
What is the probability that x exceeds 50? |
A local television station sells 15-second, 30-second, and 60 second advertising spots. Let x denote the length...
17% of the households in a community donate to the local public television station. Among households that donate to the public television station, 30% donate to the local public radio station. Among households that do not donate to the public television station, only 5% donate to the public radio station. Answer the following for a randomly selected household in the community” What is the probability a household donates to the public television station if the household donates to the public...
2- (15%) Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with the mean of 72.15. (McCarthy, 1997) a. What is the probability that the distance is at most 150 m² b. What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
A lab has six computers. Let X denote the number of those computers that are in use at a particular time of day. Suppose that the probability distribution of X is given in the following table 0 f(x) = P(X=x) 0.05 F(x) = P(XSX) 1 0.1 2 0.15 3 0.25 14 10.2 0.2 S6 5 K 0.1 1. Find k. 2. Find the probability that at least 3 computers are in use. 3. Find the probability that between 2 and...
Two different companies have applied to provide cable television service in a certain region. Let p denote the proportion of all potential subscribers who favor the first company over the second. Consider testing Ho: p=0.5 versus Ha: p?0.5 based on a random sample of 25 individuals. Let the test statistic X be the number in the sample who favor the first company and x represent the observed value of X. a) Describe type I and type II errors in the...
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. x 1 P(x) 0.2 2 0.4 3 4 0.3 0.1 (a) Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1.5 35 (b) Refer to part (a) and calculate PX $ 2.5). (c) Again...
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 195 minutes and a standard deviation of 24 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 187 minutes? Round your answer to four decimal places. Attach File Browse My Computer Browse Dropbox Browse Content Collection QUESTION 5 The GPAs of all students enrolled...
(a) An insurance company sells several types of insurance policies, including auto policies and home- owner policies. Let Aj be those people with an auto policy only, A2 those people with a homeowner policy only, and A3 those people with both an auto and homeowner policy (but no other policies). For a person randomly selected from the company's policy holders, suppose that P(A) 0.3, P(A2)-0.2, and P(A3)-0.2. Further, let B be the event that the person will renew at least...
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. 1 0.3 2 0.4 3 0.1 4 0.2 p(x) (a) Consider a random sample of size n = 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1 1.5 2 2.5 3 3.5 4 POCO (b) Refer to part (a) and calculate...
Suppose that a local second hand store is selling grab bags for $20 each in order to get rid of excess stock. They have created a total of 300 grab bags, most of which contain various items worth $15 in total. However, there are 40 grab bags which contain items worth $40 in total, 20 grab bags worth $60 in total, and a single grab bath worth $120 in total. Suppose you purchase one grab bag. Let X be the...
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. * 1 p(x) 0.2 2 0.4 3 4 0.3 0.1 (a) Consider a random sample of size n 2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X 1 1. 5 2 3.5 PC) 04 125 x 16 X (b) Refer to part...