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) = 0.37, 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) = 0.02, 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: Suzie plays with her legos 2/3 of the time. Regardless of what she is playing with, she plays in the…

A: Given information- Suzie plays with Legos 2/3 of the time, P(Lego) = 2/3 Regardless of what she is…

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

A:

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: Scott has a bag of candies. 2/5 of the candies are red. 3/10 of the candies are green. If there are…

A: Given , In a bag Total Red Candies=12 2/5 of candies are red. And 3/10 of candies are green. We have…

Q: Television Set Ownership According to Nielsen Media Research, of all the U.S. households that owned…

A: Identify the claim.   The claim is stated below as follows:   From the information, given the…

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: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: P(c) = 0.28, P(d) = 0.39, P( c and d) = 0.19 Find P(c or d)

A: Answer  Given  P[c] =0.28 P[d] =0.39 P [c and d] =0.19

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: What is 1)" for the following values? 3n (a) n = 1 (b) n = 2 (c) n = 3

A: Given that, The function is, (-1)n3n we have to find the value of given function at n = 1, n = 2, n…

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) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: Given P(A or B)=0.21, P(A)=0.43, P(B)=.005 What is B

A: The general formula of probability is given by, (P(A or B)=P(A)+P(B)-P(A and B) For this case,…

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: How is math connected to people and surroundings?

A: You go to the market and buy something. Now you have to pay for that. So you have to calculate how…

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

A:

Q: Given P(A and B) = 0.07, P(B) = 0.56, P(B|A) = 0.62, what is P(A)?

A: We will use the conditional probability formula

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: 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

Q: buttons

A:

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.