For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Are A and B independent?
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A: P(A) +P(Ac) = 1
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A: Given: n1 = 55 r1 = 44 n2 = 63 r2 = 39 Level of significance = 0.05
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Q: Given P(A) = 0.28, P(B) = 0.20, and P(B|A) = 0.28, are A and B independent or dependent?
A: Conditions: If A and B are independent events then Otherwise, A and B are dependent.
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Q: P(1)=.25 P(2) & P(3) =.2 P(4)=.05 P(5)= .1 P(6)= .2
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Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0
A: It is given that P(A) = 0.3 and P(B) =0.6.
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Q: How do you show that two events are independent?
A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)
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Q: To compute P(A and B) means that we wish to find the probability that both A happened and B…
A: Given that A and B are independent events. P(A and B ) = P(A) P(B)
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Q: Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A andB independent or dependent?
A: Conditions: Events A and B are independent, then Otherwise, A and B are considered dependent
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Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D
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- P (3)= 1/5 5. Mr. Henry has a basket full of fruit. He does not know how many pieces of fruit are in the basket. or the types of fruit. Each of the 20 students in his class selects one piece of fruit from the basket without looking, notes its fruit type, and then puts it back in the basket. Based on the results shown in the table, what can the students conclude about the probability of selecting an apple? Fruit Apple Orange Pear Number of 13 Pieces of Frruit Answer here: 6 The probability model based on experimental ETA 2.A biology professor claims that, on the average, 15% of her students get a grade of A, 30% get a B, and 30% get a C, 10% get a D, and 15% get an F. The grades of a random sample of 117 students were recorded. The following table presents the results. Grade 1- 12 Grade 2- 51 Grade 3- 23 Grade 4- 28 Grade 5- 3 What is the value of x2 (x squared) 11.143 9.488 49.038 47.900Mark is deciding which route to take to work. His choices are I = the Interstate and F = Fifth Street. P(I) = 0.44 and P(F) = 0.56 P(I AND F) = 0 because Mark will take only one route to work. What is the probability of P(I OR F)?
- The Addition Rule says that P(A or B) = P(A) + P(B). What must be TRUE about events A and B for this rule to apply? The events must be complements. The events must be disjoint. There must be a positive probability that the events can occur simultaneously. The events must be dependent. The events must be independent.The probability that divon cannot solve a question is 5/9 and the problem that Suzy solves same question is 3/7. What can the probability be such that both them solve the same problem. Note:- Suzy and Divon are independent of each other.In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northem pike over 20 pounds. Suppose that last summer 60 out of a random sample of 87 guests did, In fact, catch northern pike welghing over 20 pounds. Does this Indicate that the population proportion of quests who catch pike over 20 pounds Is different from 75% (elther higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P- 0.75; HP= 0.75 O Hoi P= 0.75; H: p 0.75 (b) what sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np 5 and ng > 5. O The Student's t. since np Ce esc & backspace @ #3 $ 8 4.
- why the correct answer is letter C?For two events A and B, P(A) = 0.55, P(B) = 0.40, and P(A & B) = 0.22. Find P(A|B). Express your answer as a decimal rounded to 2 digits, eg. 0.96.What is the p value for the following scenario: Out of 300 male inpatients, there are 195 that have a MCC and out of 450 female inpatients 205 have a MCC.
- José plays basketball. He makes free throw shots 43% of the time. José must now attempt two free throws. The probability that José makes the second free throw given that he made the first is 0.49. Is José's first free throw shot independent of his second free throw shot? There is not enough information to determine whether or not the two free throws are independent of each other. The two free throws are dependent on each other. O The two free throws are independent of each other. What is the probability that José makes both free throws? Round your answer to three decimal places.Suppose P(A) = .5 and P(B) = .3 and A andB are independent. What is P(A and B)? %D %3DQuit smoking: A recent study reported that in a sample of 234 European-American HIV-positive smokers, 105 of them had used a nicotine patch to try to quit smoking, and in a sample of 81 Hispanic-American HIV-positive smokers, 25 had used a nicotine patch. Can you conclude that the proportion of patch users is greater among European-Americans? Let p₁ denote the proportion of European-Americans who used the patch. Use the a=0.01 level of significance. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. Ho: P₁ (Choose one) ▼ P₂ H₁: P₁ (Choose one) P2 This is a (Choose one) test. Part 2 of 4 (b) Find the P-value. Round the answer to four decimal places. P-value= X S Ś
