Use the following probabilities to answer the question. Round to
4 decimal places.
P(A)=0.3P(A)=0.3, P(B)=0.65P(B)=0.65,
P(AandB)=0.05P(AandB)=0.05.
P(B∣A)=
Solution :
Using definition of conditional probability
P(B | A) = P(A and B) / P(A)
= 0.05 / 0.3
= 0.1667
Use the following probabilities to answer the question. Round to 4 decimal places. P(A)=0.3P(A)=0.3, P(B)=0.65P(B)=0.65, P(AandB)=0.05P(AandB)=0.05....
Question 9 Determine the following probabilities. Round your answers to 3 decimal places (e.g. 98.765). b) P(2 s X <5)- c) P(5 < X)- d) P(8 < X <12) e) Determine x such that P(X <x) 0.68 Round your answer to 3 decimal places (e.g. 98.765).
Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. P(A)=0.48, P(B)=0.27 and P(AandB)=0.25 . P(B ∣notA)=
Find the following probabilities. Use drawings to assist when necessary. Round all probabilities to 4 decimal places. P(z > 1.94) P(z < -2.16) P(-0.75 < z < 1.86)
Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. P(A)=0.41P(A)=0.41, P(B)=0.49P(B)=0.49 and P(AandB)=0.10 P(notB∣notA)=
Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(3; 8, 0.3) (b) b(5; 8, 0.6) (c) P(3 ≤ X ≤ 5) when n = 7 and p = 0.65 (d) P(1 ≤ X) when n = 9 and p = 0.15
Use the Standard Normal table to find the following probabilities. (Keep probabilities at 4 decimal places.) P(-1.49< z < 2.04) =
Find the given probabilities for the following. Round to TWO decimal places. P( Z< 2.02) P(Z> -2.02) P(-2.02< Z < 2.02) P( Z> -21) P(Z< 56) P(Z>56) P( -56< Z < 56)
Question 5 Use Appendix Table Ш to determine to 5 decimal places the following probabilities for the standard normal random variable Z: (a) P(Z< 1.29) = (b) P(Z < 2.8) = (c) PlZ > 1.45) = (a) PIZ> 2.15) (e) P(-2.34 < Z < 1.76) =
Question 18 Suppose that P(AlB) 0.3, P(A|B')-0.4, and P(B)-0.8. What is the P(A)? Round your answer to two decimal places (e.g. 98.76) exact number, no tolerance
You wish to test the following claim at a significance level of α=0.05 H0:p=0.65 H1:p≠0.65 You obtain a sample of size n=684 in which there are 436 successful observations. What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)