SOLUTION:
(1) Find the mean and standard deviation of the following probability distribution,
x 1 2 3 4 5
P(x) 0.6 0.1 0.1 0.1 0.1
What is the probability that x is between ᠊
Algebra ->
Probability-and-statistics
-> SOLUTION:
(1) Find the mean and standard deviation of the following probability distribution,
x 1 2 3 4 5
P(x) 0.6 0.1 0.1 0.1 0.1
What is the probability that x is between ᠊
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Question 846018:
(1) Find the mean and standard deviation of the following probability distribution,
x 1 2 3 4 5
P(x) 0.6 0.1 0.1 0.1 0.1
What is the probability that x is between – and + ?
(2) Three fair quarters are tossed in a probability experiment. Calculate the theoretical probability that the three coins will land all heads up.
(3) If the probability of producing a defect is p = 0.02, what is the probability that a lot of 150 screws will contain less than 4 defectives?
(4) A large shipment of radios is accepted upon delivery if an inspection of ten randomly selected radios yields no more than one defective radio.
(a) Find the probability that this shipment is accepted if 5% of the total shipment is defective.
(b) Find the probability that this shipment is not accepted if 20% of the total shipment is
defective.
(5) Bill has completed a ten-question multiple-choice test on which answered seven questions correctly. Each question had one correct answer to be chosen from five alternatives. Bill says that he answered the test by randomly guessing the answers without reading the questions or answers.
(a) Define the random variable x to be the number of correct answers on this test, and construct the probability distribution if the answers were obtained by random guessing.
(b) What is the probability that Bill guessed seven of the ten answers correctly?
(c) What is the probability that anybody can guess six or more answers correctly?
(d) Do you believe that Bill actually randomly guessed as he claims? Explain?
