What is the expectation of X?
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Q: What is the expectation of X?
A: Here 3 marbles are selected without replacement, using hyper geometric distribution.An urn holds 4…
An urn holds 4 red, 3 blue, and 2 green marbles.
Three marbles are selected, altogether, without replacement.
Let X be the number of different colors obtained.
(For example, if you get 3 blues, then X = 1, but if you get 2 reds and a green, then X = 2.)
What is the expectation of X?
Here without replacement model so use hypergeometric distribution. 
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- You purchase a brand new car for $17,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. X P(X)Answers must be in 4 decimals 1. Bulsu plans to enforce speed limits using radar traps at 4 different locations within the campus. The radar traps at each of the locations L1, L2, L3, and L4 are operated 40%, 30%, 30%, and 20% of the time, and a person who is speeding on his way to work has probabilities of 0.2, 0.1, 0.5, and 0.2, respectively, of passing through these locations. If the person received a speeding ticket on his way to work, what is the probability that he passed through the radar trap located at L2? 2. A drug for the relief of asthma can be purchased from 5 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. How many different ways can a doctor prescribe the drug for a patient suffering from asthma?d12-28. A Chartered Accountant applies for a job in two firms X and Y. He estimates that the probaunity of his being selected in firm X is 0-7, and being rejected at Y is 0-5 and the probability of at least one of his applications being rejected is 0-6. What is the probability that he will be selected in one of the two firms ? lee an
- If events A and B are independent, then P(A U B) = 0. True or false?Hw 4 The following information relates to the probability of two different managers selecting a salesperson for a job: Probability of Manager Sam choosing a Salesperson is 0.5 Probability of Manager Alex choosing a Salesperson is 0.3 Over the last 10 working days, Manager Sam has worked for 6 days and Manager Alex worked 4 days. Only one manager works in a day. Required: Build a Tree diagram to show the probabilities of a Salesperson being selected. Show the different branches of the Tree diagram with all the calculations. Include in the Tree diagram the overall probabilities.1. A class of 18 pupils consist of 11 girls, 4 of whom are left-handed, and 7 boys, only one of whom is left-handed. The two pupils are to be chosen at random from the class to act as monitors. Calculate the probabilities that the chosen pupils will consist ofa. One girl and One boyb. One girl who is left-handed and one boy who is left-handedc. Two left-handed pupils
- Please help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.A3. Suppose that Ahmed selects a ball by first picking one of the two boxes at random and selecting a ball from this box at random. The first box contains 3 white balls and 2 blue balls, and the second box contains 1 white balls and 4 blue balls. What is the probability that Ahmed picked a ball from the second box if he has selected a white ball?
