Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4. Explain why P(A and B) cannot be 0.5.
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4.104 Conditional
Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2.
Suppose that P(A) = 0.4.
Explain why P(A and B) cannot be 0.5.
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- Assume that a researcher randomly Probabilities of Girls O selects 14 newborn babies and counts the number of girls selected x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. x(girls) P(x) x(girls) P(x) x(girls) P(x) 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 20.006 70.209 12 0.006 Find the probability of selecting 9 or more girls. 3 0.022 80.183 13 0.001 4 0.061 90.122 14 0.000 ОА. 0.122 О В. 0.061 ОС. 0.212 O D. 0.001 Click to select your answer.U and V are mutually exclusive events. P(U) = 0.18; P(V) = 0.52. Find: a. P(U and V) = b. P(U|V) = c. P(U or V) =..... aded.) 1place a Table of numbers of girls and probabilities Number of Girls x P(x) 0.005 0.029 0.114 3 0.211 4 0.281 5 0.221 0.101 0.035 6 7 8 0.003 Print Done
- Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Probabilities of Girls x(girls) P(x) x(girls)| P(x) |x(girls)| P(x) 0.000 0.122 10 0.061 1 0.001 0.183 11 0.022 2 0.006 7 0.210 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000 Find the probability of selecting 12 or more girls. 0.001 O 0.022 0.006 O 0.007U and V are mutually exclusive events. P(U) = 0.21; P(V) = 0.43. Find: a. P(U and V) = b. P(U|V) = c. P(U or V) =Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let X = the number of children married people have. P(x) ХP(x) 0.15 1 0.25 0.35 4 0.10 0.05 6 (or more) 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) (b) In words, what does the expected value in this example represent? O the average number of children married adults in the country have the average number of children adults in the country have O the number of children married adults in the country have O the number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? O it is more likely to have two to three children, with p = 0.35 O it is more likely to have four…
- For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3DLet P(E) 0.45, P(F) = 0.6, and P(Fn E) 0.3. Draw a Venn diagram and find the conditional probabilities. P(E | FC (a) P(F | EC) (b)We are interested in the probabilities of finding r illiterate people, when r = 0, 1, 2, 3, 4, 5 and 6. Use this table to create a table of r values and the corresponding P(r) values when n = 6 and p = 0.2. (Round your answers to three decimal places.) P(r) 0.262 0.246 3 4 0.015 0.000