statistics

The Ace AirLines has a policy of overbooking flights. The random variable x represents the number of passengers who cannot be boarded because there were more passengers that seats.
x P(x)
0 0.061
1 0.132
2 0.255
3 0.345
4 0.207

a)Is this a probability distribution? How do you know?
b)What is the mean number of passengers left at the gate?
c)What is the variance of the number of passengers left at the gate?
d) What is the standard deviation of the number of passengers left at the gate?

  1. 👍 0
  2. 👎 0
  3. 👁 176

Respond to this Question

First Name

Your Response

Similar Questions

  1. math, probability

    13. Exercise: Convergence in probability: a) Suppose that Xn is an exponential random variable with parameter lambda = n. Does the sequence {Xn} converge in probability? b) Suppose that Xn is an exponential random variable with

  2. Mathematics

    Let Z be a nonnegative random variable that satisfies E[Z4]=4 . Apply the Markov inequality to the random variable Z4 to find the tightest possible (given the available information) upper bound on P(Z≥2) . P(Z≥2)≤

  3. Probability

    Question:A fair coin is flipped independently until the first Heads is observed. Let the random variable K be the number of tosses until the first Heads is observed plus 1. For example, if we see TTTHTH, then K=5. For K=1,2,3...K,

  4. STATISTICS

    Consider a binomial random variable where the number of trials is 12 and the probability of success on each trial is 0.25. Find the mean and standard deviation of this random variable. I have a mean of 4 and a standard deviation

  1. stats

    If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that it was and Upstate Airlines flight. _____________On Time Flights _________________ Late Flights Podunk

  2. Probability

    Let Z be a nonnegative random variable that satisfies E[Z^4]=4. Apply the Markov inequality to the random variable Z^4 to find the tightest possible (given the available information) upper bound on P(Z≥2). P(Z>=2)

  3. probability

    A fair coin is flipped independently until the first Heads is observed. Let K be the number of Tails observed before the first Heads (note that K is a random variable). For k=0,1,2,…,K, let Xk be a continuous random variable

  4. Probability-Cards

    As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13

  1. math

    During the first year at a university that uses a four-point grading system, a freshman took ten three-credit courses and received two As, three Bs, four Cs, and one D. a) Compute this student's g.p.a. What I did : 2+3+4+1/4=2.5

  2. Statistics Question

    Consumer Reports rated airlines and found that 80% of flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time rate is representive of the entire commercial

  3. Math

    Suppose a baseball player had 211 hits in a season. In the given probability distribution, the random variable X represents the number of hits the player obtained in the game. x P(x) 0 0.1879 1 0.4106 2 0.2157 3 0.1174 4 0.0624 5

  4. statistic

    The random variable x represents the number of boys in a family with three children. Assuming that births of boys and girls are equally likely, find the mean and standard deviation for the random variable x.

You can view more similar questions or ask a new question.