P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

Q: b) Evaluate UTM L{t*e=# 6(t – 2)}. UTM

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Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: Assume P(Z>b)=0.22 for some number b. Without finding the value of b, what is P(Z<-b)?

A: From the provided information,P (Z&gt;b) = 0.22

Q: (c) (2,-2) (1.0) (r. 8) - y (0 <1) (r< 0) 2 3 -1.5 -1.0

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  the radius is…

Q: What is P( -1.03 < Z < 0.57 )?

A: The question is about standard normal distribution Introduction : Standard normal distribution. Z is…

Q: If P(A) = 4/5 and P(B/A) = 2/5, then P(An B) is

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Q: 9/State the Sufficient condition for the best apfraximation ant Prove t

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Q: q22- We know P(M) = 0.52, P(N) =0.67, and P(M ∩ N) =0.57, then P(M ∪ N) is: a. 0.62 b. 0.41 c.…

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Q: find P(-1.2<Z<1.9)

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Q: What is P(X>6)?

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Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

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Q: Let X-x²(18). Given P(7.015 < X <)-029th - then: a) 14.44 b) 10.865 c) 6.265

A: Let X~χα2( 18). GivenP(7,015 &lt;X&lt;χα2)=0.29To find the χ2(α) using the Excel software…

Q: If X:N(60,42), find Peo, find pa30

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Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: Q21 If that p(An B) = 0.4 , P(A) = 0.5 and p( B) = 0.8 Then P( A u B) = 0.9 * True

A: Given information: PA∩B=0.4PA=0.5PB=0.8

Q: Find L-

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Q: X- N(5,2). P(X>2) = ?. [Draw a figure]

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Q: p(a)= 0.40 and p(b) = 0.20 and p(b|a)= 0.30 find p(a|b) A) 0.15 B) 0.36 C) 0.69 D) 0.00 E) 0.18

A: We have given that p(a)= 0.40  p(b) = 0.20  p(b|a)= 0.30 p(a|b) = ?

Q: What is the answer to this?

A: Concept of General Addition Rule:For any two events A and B the General Addition Rule state that:

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality

Q: B Given that p(A| B)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?

A: Ans#- Given, P(A | B) = 0, and P(A) = 0.15.            Are A and B        (a) Independent?…

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: Given that P(A UB) = 0.76 P(AnB) = 0.36 P(ANB) 0.26 Find P(B|A) O 0.24 O 0.28 O 0.35 O 0.86

A: