Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(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: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: 4) A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one…

A: The number of red flowers in the box are 10. The number of white flowers in the box is 12.

Q: Suppose that you have 6 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given n(G)=6 n(Y)=5 N=11

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given, Green cards=9 Yellow cards=5   Let,  G1= the first card drawn is green G2= the second card…

Q: uppose Var(X) = 93, Var(Y) = 98, and X and Y are independent. What is Var(.6X + .4Y)?

A: Answer: - Given,  Var(X) = 93, Var(Y) = 98, and X and Y are independent.                 What is…

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: I found this question on the internet. Can this be calculated P(A|B) and P(Ac|Bc)? I am used to…

A: The objective of this question is to calculate the conditional probabilities P(A|B) and P(Ac|Bc)…

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: Let B = [b1, b2, b3] = -1 -1

A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

A:

Q: woudlnt P(P|S) be .41 instead of .14 because S represents when the cat is asleep and S' represents…

A: Probability explains chance how much an event can happen. It is calculated by number of favorable…

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 q(r) = ? - 9, evaluate. q(-3)

A:

Q: 7 is greater than or equal to w, and -6 is less than w

A: Given,           7 is greater than or equal to w, and -6 is less than w.

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.5, what is P(A or B)? O 0.8 O…

A: When events A and B are mutually exclusive, the probability that A or B will occur is given by the…

Q: Given  H(p) =  7p p + 6,  evaluate. H(1)

A: Given: H(p)=7pp+6   To find: H(1)=??

Q: Suppose Var(X) = 52, Var(Y) = 41, and X and Y are independent. What is Var(.89X + .11Y)?

A: Given: Var(X) = 52 Var(Y) = 41 X and Y are independent. Formula Used: VaraX+bY = a2Var(X) + b2Var(Y)…

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Consider two variables: one denotes whether a person truly has a disease (D) or not (D) and the oth…

A: Given data:   D Dc Row Total Pos 53 4 57 Neg 2 455 457 Column Total 55 459 514

Q: If a * b denotes a² – ab + 2, find the value of 2* (3 * 2). What is the value of x if x * 3 = 0? %3D

A: Given a * b = a2 - ab + 2

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

A:

Q: Suppose Var(X) = 4, Var(Y) = 78, and X and Y are independent. What is Var(.58X + .42Y)?

A: Answer: - Given, Var(X) = 4, Var(Y) = 78, and X and Y are independent.                What is…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: SupposeP(A) =.55,P(B) =.3,P(C) =.35, andP(A∩B) =.20. Find thevalue of each variable. Write your…

A: Given, PA=.55, P(B)=.3, P(C)=.35, and PA∩B=.20 From the given Venn diagram, PA∩B=x+0.15 ⇒x=PA∩B-0.15…