A student goes to the library. Let events B=B= the student checks out a book and D=D= the student check out a DVD. Suppose that P(B)=0.59PB=0.59, P(D)=0.45PD=0.45 and P(D|B)=0.50PD|B=0.50. Round each answer to four decimal places.  Find P(B′) Find P ( D and B) Find P (B\D) Find P (D and B') Find P (D\B')

Q: Evaluate S dx. Vx(1+vx)³

A:

Q: Given, P(A or B) = 0.80, P(A') = 0.48 and P(A and B) = 0.20 Find P(B)?

A: P(A∪B) = 0.80P(A') = 0.48P(A∩B) = 0.20P(B) = ?

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: (c) Use geometry (ONLY) to find the exact value of (2x + 1) dx. Illustrate your method with a new…

A: By sketching graph

Q: T=s-3/7 for s  s=

A: Multiply both sides by 7

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: Let X be the number of times a fair die is rolled until one appears twice in a row. Find E(X).

A:

Q: Find N, A, and b.  k(x) =  11 2 + 7.5(1.06−x) ;    [0, 100] N  =    A  =    b  =

A:

Q: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

A: We will find the answers of all 3 parts as following.

Q: Find P(t <2.40) nu=26 Make sure to show your work.

A: Based on the information provided, we can assume that t follows a Student's t-distribution with…

Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33