If two events A and B area such that P(A)=0.3, P(B) = 0.4 and P(AB)=0.5 then P(B|AUB))=
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A: Given , C - A man develop s cancer P(c) = 0.4956 F = A man has atleast one false…
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Q: does not match the specifications?
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A: Answer: From the given data, Suppose that events E and F are independent P(E) = 0.5 P(F) = 0.7
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A: P(A)=15P(A and B) = 110P(A or B) = 12
Q: 1. Declare all variables and provide a sketch of the following problems.
A: The sketch of the P(z > 0.97 ) using the statistical tool is, Thus, P(z> 0.97) =0.1660
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- ) If the probability of a person getting a job is x / 3 The probability of not getting a job is 2/3 . So what is the value of xSuppose that a point is randomly chosen from a segment with a length of 12 units. What is the probability that no of two smaller segments is smaller than 2/3 units? ROUND OFF your answer in DECIMAL FORM (4 decimal places)Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "=", "not =" and express any values as a fraction e.g. p = 1/3) Ho p= 1/6 = Ha= p > 1/6 (b) Now suppose Matt makes n = 34 rolls, and a 2 comes up 7 times out of the 34 rolls. Determine the P-value of the test: P-value = | (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No) no
- A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer isSuppose that a point is randomly chosen from a segment with a length of 12 units. What is the probability that no of two smaller segments is more than twice as long as the other? ROUND OFF your answer in DECIMAL FORM (4 decimal places)which expressions correctly describes the experimental probability, P(B), where n(B) is the number of times event B occurred and n(T) is the total number of trials, T, in the experiment? a) P(B) = n(B) x n(T) b) P(B) = n(N) + n(T) c) P(B) = n(T)/n(B) d) P(B) = n(B)/n(T)
- Prove that the events Es, E2... En are independent iff their corresponding indicator variates I,, I₂.. In are independent.ON QUESTION F HOW WOULD I SHOW THE EVENT IN EXCEL FORMULA?ANSWERS ALL PARTS A,B,C A) Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance. B) Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y). C) Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.
- a. How many total outcomes are possible? Event E b. Р(Е) 3D Event F с. Р(F) %3D 3 3 2 d. P(ENF) = e. P(E|F) = 2)action=edit&resid=C08701F6876D7727!330&ithint=file%2cdocx&action=edit&wdNewAndOpenCt=1654742848849&wd Previous Ses 1. The following table shows the probability distribution for X = the number of traffic accidents reported in a day in a small city in the Rockies. X P(X) 0 0.25 1 0.30 0.20 0.10 0.10 5 0.05 a. What is the mear or expected number of accidents? b. What is the standard deviation of the number of accidents? an alarm in the presence of 2 3 4Find P(A | B) when P(A) = 0.8, P(A M B) = 0.1, and the two events A and B are exhaustive.
