Consider the given probabilities: P(A) = 0.75, P(B) = 0.67, and P(A|B) = 0.67.
A) What is P(A ∩ B)? Please use 4 decimal places. Show Your Work.
B) Are A and B independent? Please explain your answer.
Consider the given probabilities: P(A) = 0.75, P(B) = 0.67, and P(A|B) = 0.67. A) What...
Given the following probabilities for some random process, P(A) = .42 P(B) = .22 P(A and B) = .05 Determine the following. (Show your work and highlight your final answers either with a highlighter or by placing a box around it. Use 4 decimal places if necessary.) P(A or B) P(A│B) P(B│A) P(AC and B) P(BC│AC)
Consider the following probabilities: P(AC) 0.57, PB = 0.36, and P(A n B) 0.03 a. Find P(A | BC). (Do not round intermediate calculations. Round your answer to 2 decimal places.) P(A | BC) b. Find P(BC | A). (Do not round intermediate calculations. Round your answer to 3 decimal places.) P(BC A) c. Are A and B independent events? Yes because PAI B = PA) Yes because PAN B)0 No because P(A I B)PA). No because PAN B)0
Consider the following hypothesis test: H: p > 0.75 Ha: p<0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use Q=.05. Round your answers to four decimal places. a. p = 0.68 p-value Conclusion: p-value - Select your answer H b. p = 0.72 HO P-value Conclusion: p-value Select your answer - C: 7 = 0.7 p-value Conclusion: p-value Select your answer d. P = 0.79 Но...
Consider the following hypothesis test Ho: p 2 0.75 a' p < 0.75 A sample of 400 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = .05 Round your answers to four decimal places a. p=0.69 p-value Conclusion: p-value less than or equal to 0.05, reject b. p0.72 p-value Conclusion: p-value greater than 0.05, do not reject c. p=0.71 p-value Conclusion: p-value less than or equal to 0.05, reject...
2.) In the Venn diagram shown is given the probabilities for An Bº, An B, and An BC Construct a completed contingency table for these events and determine the following: А B a.) Table: 33% 17% @ 15% b.) P(AUB) = c.) P(AB) = d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer.
Given two independent random samples with the following results: n1pˆ1=685=0.5 n2pˆ2=510=0.67 Can it be concluded that the proportion found in Population 2 exceeds the proportion found in Population 1? Use a significance level of α=0.05 for the test. Step 1 of 5 : State the null and alternative hypotheses for the test. Step 2 of 5: Compute the weighted estimate of p, ‾‾p. Round your answer to three decimal places. Step 3 of 5: Compute the value of the test...
1.) Given P(B) = 0.27, P(A and B) = 0.15, P(A or B) = 0.47, what is P(A)? Answer in decimal form. Round to 2 decimal places as needed. 2.)Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B independent?
Consider the following hypothesis test: 38. O 39. 40. O Ho: p 2 0.75 Ha:p<0.75 A sample of 400 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use a- 0s Round your answers to four decimal places. . P-0.68 p-value p-value Select b. p-0.73 p-value Conclusion: p-value Select p-value Conclusion: p-value (Select Ho d, p=0.77 p-value Conclusion: p-value (Select Ho
show work please !!
Calculate the required probabilities for the normal distributions with the p a. u 3, o 3; calculate P(0 <x< 10). b. H 3, o 4; calculate P(0 < x< 10). c. H 7, o 3; calculate P(0 <x< 10). d. H 6, o 5; calculate P(x > 4). e. u 0, o 5; calculate P(x > 4) a. P(0 <x < 10) (Round to four decimal places as needed.) Enter your answer in the answer box...
2. Given that z is a standard normal random variable, compute the following probabilities. P(-1 ≤ z ≤ 0) (Round to four decimal places) Answer P(-1.5 ≤ z ≤ 0) (Round to four decimal places) Answer P(-2 < z < 0) (Round to four decimal places) Answer P(-2.5 < z < 0) (Round to four decimal places) Answer P(-3 ≤ z ≤ 0) (Round to four decimal places) 3. Given that z is a standard normal random variable, compute the...