A small ferry runs every half hour from one side of a large river to the other. The probability distribution for the random variable Y = money collected (in dollars) on a randomly selected ferry trip is shown here. Money collected Probability P(Y ≤ 0) = 1 0 Incorrect 0.02 5 0.05 10 Calculate the cumulative probabilities. Do not round. 0.08 15 0.16 20 0.27 25 0.42 P(Y ≤ 5) = Incorrect

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In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X. Hx = marriages (Type an integer or a decimal. Do not round.) X 0 1 2 3 4 5 P(x) 0.264 0.567 0.136 0.029 0.003 0.001

The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. Number of Violations (v) Probability P(v) 3 0.3200 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8 0.1000 9 0.0400 What is the mean of the probability distribution? (Input answer in 4 decimal places)

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The number of calls coming in to order roses from a flower shop averages 3 per minute a. Define random variable in this situation and list it’s values b. Stating its parameter(s) what is the probability distribution of this variable? c. Compute the probability that 5 calls will arrive per minute. d. Compute the probability that 3 or more calls will arrive in 3- minute interval?

Calculate xpectation and variance of X, if the probability distribution of the random variable X is given by X 1 0.3 f - 0 0.1 1 0.1 2 3 0.3 0.2 shodm

Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.

enmath.com SCore: 27T S75 answered Question 4 Assume that 12 jurors are randomly selected from a population in which 81% of the people are Mexican- Americans. Refer to the probability distribution table below and find the indicated probabilities. P(x) 0+ 0+ 2. 0+ 3. 0+ 0.0004 0.0025 0.0123 0.0449 8 0.1195 0.2265 0.2897 11 0.2245 12 0.0798 Find the probability of exactly 6 Mexican-Americans among 12 jurors. P(x = 6) = Find the probability of 6 or fewer Mexican-Americans among 12 jurors. P(x < 6) = Does 6 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans? O no O yes Check Answer 12 étv MacBook Air 14567090

After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).