I have given the solution, but i don't know how to get the number In the rectangular area. Please elaborate me how to get that. Thank you! Here is the problem : Student answers choosing randomly YES or NO. To pass the exam he must answer correctly for at least 2/3 of all questions. What is his chance if there are: (a) 6 , (b) 9 , (c) 12 questions in the test?

Q: Given P(A and B) = 0.22, P(B) = 0.75, P(B|A) = 0.84, what is P(A)?

A: Given information- P(B) = 0.75 P(A∩B) = 0.22 P(B|A) = 0.84 P(B/A) is given by-

Q: If P(B) = 1/4 and P(A|B) = 1/2, what is P(A^ B)?

A: P(B¯) = 1/4P(A|B) = 1/2We have to determine P(A∩B).

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: iven P(A) = 0.40, P(B) = 0.25, and P(B|A) = 0.11, what is P(A or B)?

A: Given,P(A)=0.40P(B)=0.25P(B/A)=0.11

Q: Given P(A and B) = 0.02, P(A) = 0.82, what is P(B|A)? Answer in decimal form. Round to 3 decimal…

A: The conditional probability of B given A, denoted P(B|A), is

Q: Given P(A and B) = 0.37, P(B) = 0.57, P(B|A) = 0.91, what is P(A)?

A: We have to find given probability.

Q: Given P(A and B) = 0.16, P(A) = 0.87, what is P(B|A)? Answer in decimal form.  Round to 3 decimal…

A:

Q: The AM and GM for two observations are 5 and 4 respectively. Find the two observations.

A:

Q: Given P(A and B) = 0.02, P(B) = 0.88, P(B|A) = 0.68, what is P(A)?

A: P(A and B) = 0.02  P(B) = 0.88  P(B|A) = 0.68  P(A)=?

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

A:

Q: How many ways can 5 horses come in first, second, and third place in a horse racing competition?

A: How many ways can 5 horses come in first, second, and third place in a horse racing competition:…

Q: Given P(E or F) = 0.59, P(E) = 0.14, and P(E and F) = 0.03, what is P(F)?   Your Answer:

A:

Q: Given P(A and B) = 0.02, P(B) = 0.80, P(B|A) = 0.73, what is P(A)?

A: Conditional probability formula P(B|A) = P(A and B) /P(A)

Q: (a) Jace has 4 less than 7 times as many shoes as Jayden. Together, Jace and Jayden have 140 shoes.…

A:

Q: Given P(A and B) = 0.23, P(A) = 0.84, what is P(B|A)?

A:

Q: Given P(A and B) = 0.30, P(A) = 0.75, what is P(B|A)? Answer in decimal form. Round to 3 decimal…

A: Solution

Q: (c) What percentage of students play video games for less than 64 hr per week? of the students play…

A: The following frequency distribution table is provided. Number of hours  Frequency (f) 1.0-7.9…

Q: Given P(A and B) = 0.14, P(B) = 0.67, P(B|A) = 0.70, what is P(A)? Answer in decimal form. Round…

A:

Q: Suppose P(A) = 0.18, P(B)= 0.38, P(A | B) = 0.51 What is P(A and B)?

A: Answer: From the given data, P(A) = 0.18 P(B) = 0.38 P(A|B) = 0.51

Q: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: what is the name of a test that is used to find the power of n=2?

A: Student's t-test is used to determine the mean difference between two treatments that have different…

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: p(a) = 0.65, P9b) = 0.56, P(a and b) = 0.4, find p( a or b

A:

Q: P(-3 < Z < 3) (Round to the thousandths)

A: According to the given information, we have P(-3≤Z≤3)

Q: Ben had some red, blue and yellow cards. He had 156 more blue cards than red cards and 2/3 as many…

A: Let the number of blue, red and yellow cards Ben had at first be b, r and y.Number of blue cards, b…

Q: Jimmy had no luck at all in the last two times around the game board. First, he had to pay ½ of his…

A: Let us suppose that Jimmy have x dollars in his pocket. now the Jimmy have to give 12 of his money…

Q: he home team won 3 out of 4 games. Test   Ho: p = 0.5. There is no home field advantage. Versus…

A: The hypotheses are given below: Null hypothesis: H0: p=0.5. Alternative hypothesis: Ha:p&gt;0.5.…

Q: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: Given P(B) = 0.28, P(A and B) = 0.29, P(A or B) = 0.45, what is P(A)? Answer in decimal form.…

A: Given :  P(B) = 0.28 P(A and B) = 0.29 P(A or B) = 0.45

Q: If P(A)= 0.2, P(B)= 0.32 Calculate P(A and B)?

A: Answer:- Given, P(A) = 0.2  And P(B) = 0.32  Using formula,  According to the given information we…

Q: Nina is making 5 pans of fudge to serve after a music recital. For each pan, she needs 2/3 cup of…

A: Given, Nina is making 5 pans of fudge For each pan, Nina needs 2/3 cup of condensed milk. We have to…

Q: proot p(B)

A:

Q: Given, P(A) = 0.40, P( A and B) = 0.10 and P(A|B) = 0.30 Find P(B)? Round to 2 decimals

A: Answer: From the given data, P(A) = 0.40 P(A and B) = 0.10 P(A|B) = 0.30

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.