If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: , b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? . f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not?

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

A:

Q: Given that SST = 270, R2 = 0.75 and n = 40, then the value of SSR is O A. 102.50 O B. 202.50 O C.…

A:

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: iven P(E or F) = 0.58, P(F) = 0.30, and P(E and F) = 0.13, what is P(E)?

A:

Q: For the given values of n and d, find integers q and r such that n = dq + r and 0 sr < d. n = 6, d =…

A:

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Topic:- permutation and combinations

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: If n(A) = 45, n(B) = 16, and n(A n B) = 2, find n(A U B).

A: Given :nA=45nB=16nA∩B=2

Q: Given M1 = −5, s1 = 4.6, n1 = 72, M2 = − 1, s2 = 3.3, and n2 = 60, calculate t.

A:

Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?

A:

Q: If n(A) = 62, n(B) = 21, and n(An B) = 3, find n(A U B).

A:

Q: iven P(E or F) = 0.86, P(F) = 0.15, and P(E and F) = 0.02, what is P(E)?

A:

Q: Given P(E or F) = 0.66, P(E) = 0.26, and P(E and F) = 0.07, what is P(F)?

A:

Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: If = 72, which equation is true? %3D O n = 72 ÷ 9 O n= 72 x 9 O n=9÷72 O n= 72 + 9

A: Our objective is to find the true equation.

Q: Given P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10, what is P(E)?

A: Given : P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10

Q: Suppose there are two routes from North Point to Boulder Creek, three routes from Boulder Creek to…

A: We roughly draw the situation Given that two routes from North Point to Boulder Creek, three routes…

Q: If n(C) = 34, n(C∩D) = 17, and n(C∪D) = 93, find n(D). n(D) =

A: The set A∪B contains all the elements that are present either in set A or in set B. It is known that…

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: Solve the following problems using a Venn Diagram. 1. In a group of 50 students, 18 are taking…

A: We will draw venn diagram of given data set and then find required values .

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: Suppose that S = { x | x ∈ N , and 3 ≤ x ≤ 260 }  What is | S |

A:

Q: n(A) = 64, n(B) = 23, and n(A ∩ B) = 5, find n(A ∪ B

A: We will solve the set question.

Q: Suppose that Pr[A|B]=4/7, Pr[B|A]=8/13, and Pr[A′]=8/21. Find Pr[A∩B′].

A: To calculate the required probability (using the data on conditional probability)

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: Given P(E or F) = 0.79, P(F) = 0.40, and P(E and F) = 0.07, what is P(E)?

A: Let E and F are two events The known probabilities are,        P(F)   = 0.40, P(E or F)  = 0.79, P(E…

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: If n(A) = 46, n(B) = 19, and n(A ∩ B) = 5, find n(A ∪ B).

A: Using , n(A u B) = n(A) + n(B) - n(A intersection B),

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: If n(A) 108, n(A U B) = 155, and n(A n B) = 43, find n(B).

A: Given: n(A)=108, nA∪B=155 and nA∩B=43.

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: Given that a,b,c,d,ea,b,c,d,e are distinct whole numbers from 11 to 99 inclusive, along with the…

A: Given that a,b,c,d,e are distinct whole numbers from 11 to 99 inclusive, along with the equality…

Q: if n(A u B) = 97 and n(A) = n(B) = 67, find n(A n B).

A:

Q: If n(A) = 102, n(A U B) = 159, and n(A n B) = 45, find n(B).

A: Hi there! Since there are two different questions we will solve one question for you. As the first…

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: If n(A) = 44, n(B) = 15, and n(A n B) = 4, find n(A u B). %3D

A: Using the union formula we get:n(A∪B)=n(A)+n(B)-n(A∩B)=44+15-4=55

Q: If = 72, which equation is true? O n = 72 ÷ 9 %3D O n= 72 x 9 O n= 9÷ 72 O n= 72 +9

A: Given that n/9=72

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: If P(A) = 0.22, P(B) = 0.55, and A and B are mutually exclusive, find P(A or B).

A: Two event A and B are said to be mutually exclusive if their intersection is a null event i.e. A∩B=ϕ…

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: If n(A) = 46, n(B) = 21, and n(A ∩ B) = 6, find n(A ∪ B).

A:

Q: If n(A) = 40, n(B) = 24, and n(A ∩ B) = 1, find n(A ∪ B).

A:

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 47, find n(B)

A:

Q: The phone numbers on the Georgia Tech campus have the form SSS-CVA-TECH, where S can be the digits 1…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…