Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11. Let E = {a, c, d} and F = {a, b, c, f}. Find P(a), P(E), and P(F). P(a) =  P(E) =  P(F) =

Q: A coin is tossed three times. Let X be the number of heads that turn up. Find V (X).

A: Given:A coin is tossed three times.X be the number of heads that turn up.

Q: Let X and Y be independent, and let X be N(10, 1) and Y be N(11, 1). PIX >Y),

A: From the given information, X and Y are independent random variables. Let X be a N(10, 1) variable…

Q: Suppose P(A and B) = x, P(BlA) = y, and P(B) = z. What is P(A or B)?

A: According to the given information in this question We need to find the following probability

Q: If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

A: Bayes' theorem can be used to compute conditional probabilities and isexpressed as P(A|B)…

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find d. A-D e. A x B f. BxB g.…

A:

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

Q: Let D = {-2, -1, 0, 1}. Let E = {0, 1, 2, 3}.

A: Answer

Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 2 -3 5 -3 D= 10 1 2 0

A:

Q: 2. Let A = and B = al. Show that det(A + B) = det A + det B if and only if a + d = 0.

A:

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: Let P(C|D) = 0.2, P(D) = 0.3 and P(C|D) = 0.4, then C and D are Select one: a. disjoint b. not…

A:

Q: If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

A: GivenP(A)=0.29P(B)=0.32PB/A=0.42

Q: If P(E∩F)=0.042, P(E|F)=0.12, and P(F|E)=0.6, then (a)   P(E)= (b)   P(F)= (c)   ?(?∪?)=

A: It is given that P(E∩F)=0.042, P(E/F)=0.12 and P(F/E)=0.6.