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Answers:If you want the probability of A and B, P(A B) it may or may not equal P(A)*P(B) it will never be larger than the smaller of the two P(A) or P(B) and it might be as small as 0 if A and B are mutually exclusive. So how do you find the P(A B) if it is not given. If A and B are independent, which means if A happens it will neither help or hinder the chance that B will happen then P(A B) = P(A)*P(B) If they are not independent and you know the conditional probability of P(A|B) then P(A B) = P(A|B)*P(B). (With a little Algebra that formula can be used to find P(A|B).) If you need to find the probability of A or B you will need to add probabilities, but unless P(A B) is zero the P(A) + P(B) will not work since the P(A B) will be counted twice. (Make a Venn diagram to confirm this fact.) The Probability of A or B: P(A B) = P(A) + P(B) - P(A B)
Answers:Let P be the proportion of no-show rate for passengers booked on its flights. Ho: P =0.06 Ha: P < 0.06 Estimated p = 18 / 380 = 0.0474 Variance of proportion = p*(1-p)/n = 0.06(0.94)/380 =0.0001484 S.D. of p is sqrt[0.000148] = 0.0122 Z = ( 0.0474 - 0.06 ) / 0.0122 = -1.0368 From Normal probability table , P( z < -1.0368) = 0.1492 p-value = 0.1492
Answers:Dip the bromothymol blue indicator into the NaOH. Look at which color the bromothymol blue indicator changed to. If it's yellow, or nearest to yellow, the pH would be around 6.0, but if it's blue, or closest to blue, then the pH would be around 7.6. Then, look at the pH scale and find the number. You will see if it is an acid or base. Acid: -1.0 to 6.9 Base: 7.1 to 14
Answers:This is a question best put before the answers under the Mathematics forum. That said, since this is homework, what are your solutions so we can assist in helping you learn the process of solving and whether or not you've computed the answers correctly?