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 47.900Kindly solve the following problems by showing the complete solution. 1. A geologist has collected 10 specimens of basaltic rock and 10 specimens of granite. The geologist instructs a laboratory assistant to randomly select 15 of the specimens for analysis. What is the probability that all specimens of one of the two types of rock are selected for analysis?
- Q1: Many drivers of cars that can run on regular gas actually buy premium in the belief that they will get better gas mileage. To test that belief, we use 10 cars in a company fleet in which all the cars run on regular gas. Each car is filled first with either regular or premium gasoline, decided by a coin toss, and the mileage for that tank-full is recorded. Then the mileage is recorded again for the same cars for a tank-full of the other kind of gasoline. We don’t let the drivers know about this experiment. Here are the results in miles per gallon: Regular Premium 16 19 20 22 21 24 22 24 23 25 22 25 27 26 25 26 27 28 28 32 Is there evidence that cars get significantly better fuel economy with premium gasoline? Use 0.05 level of significance and a test. Write an appropriate hypothesis test for this situation and…In the linear model, R< is: OA. a regular random variable. OB. an observable fixed number. Oc. an unobservable fixed number. .OD. none of the above. Click Save and Submit to save and submit. Click Save All Answers to save all answers. esc 20 F3 000 O00 F4 F1 F2 $ 4 W 5 # 3Mark 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.(ii) At a Harford university, the probability that a student takes calculus and agriculture in the same semester is 0.09. The probability that a student takes agriculture is 0.15. The probability that a student takes calculus is 0.6. a. State, giving a reason in each case whether probability of calculus and probability of agriculture are independent b. Find the probability that a student is taking calculus, given that he or she is taking agriculture.Given P(A|B) = 5 P(A|B), P(A) = 0.09 and P(B) = 0.2 %3D a) Find P(ANB) b) Find P(B|A) c) Are A and B independent? Why?
- Pedro has just entered university and has been informed that there is a 30% chance of receiving a scholarship. In the case of obtaining it, the probability of obtaining a degree is 0.85, while in the case of not obtaining it, the probability of obtaining a degree is only 0.45. Tell Peter what the probability is that he will graduate.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.Find the indicated probability. Show solution А. Р(А) — 0.65, P(В) — 0.30, Р(AU B) — 0.75, Р(А N B) 3? %3D В. Р (А) — 0.55, P(B) — 0.35, Р(An B) — 0.15, Р(AU B) —?
