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Please I need help in solving this questions: (1) A researcher randomly selects 4 fish from among 7 fish in a tank and puts each

Please I need help in solving this questions:

(1) A researcher randomly selects 4 fish from among 7 fish in a tank and puts each of the 4 selected fish into different containers. How many ways can this be done?

(2) An experimenter is randomly sampling 5 objects in order from among 46 objects. What is the total number of samples in the sample space?

(3) A person eating at a cafeteria must choose 4 of the 19 vegetables on offer. Calculate the number of elements in the sample space for this experiment.

(4) How many license plates can be made using 2 digits then 4 letters if repeated digits and letters are allowed?

(5) In a shipment of71 vials, only 13 do not have hairline cracks. If you randomly select one vial from the shipment, what is the probability that it has a hairline crack?

(6) Suppose a card is drawn from a deck of 52 playing cards. What is the probability of drawing a 2 or a jack?

(7) The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.2. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person either has high blood pressure or is a runner or both.

(8) In a shipment of68 vials, only 15 do not have hairline cracks. If you randomly select 2 vials from the shipment, what is the probability that none of the 2 vials have hairline cracks?

(9) The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.4 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person has high blood pressure and is not a runner.

(10) Hospital records show that 12% of all patients are admitted for heart disease, 20% are admitted for cancer (oncology) treatment, and 8% receive both coronary and oncology care. What is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (Note that heart disease is a coronary care issue.)

(11) Among 9 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the probability that all selected components function properly.

(12) Among 9 electrical components exactly one is known not to function properly. If 4 components are selected randomly, find the probability that exactly one does not function properly.

(13)Among 9 electrical components exactly one is known not to function properly. If 4 components are randomly selected, find the probability that at least one does not function properly.

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