Question Four: For some independent events P(B) = 0.3, we have P(AUB) = A, B A) 0.96 with P(A) = 0.1 and B) 0.97 C) 0.98 D) 0.99 E) None

Q: given events Q and T, compute P (Q) if P(T and Q) =0.3 and P (T/Q) =0.6

A: provided that, P(T and Q) =0.3 and P (T/Q) =0.6 we use the formula, P (T/Q) = P( T and Q)/P(Q)

Q: PROBLEM 28: A sample space S contains two independent events, A and B, with Pr[A] = 0.6, Pr[B' ] =…

A:

Q: Event A and event B are mutually exclusive, P(A) = 0.6 and P(B) = 0.2 Calculate the following,…

A: Answer: From the given data, P(A) = 0.6  P(B) = 0.2 Event A and event B are mutually exclusive,

Q: let A ,B be two disjoint events such that P(B) = 0.1 then P(A° \ B ) = 1 0.5 Other

A:

Q: Let Y be the total number (outcomes) of rolling a pair of dice, where Pr(Y=2) = Pr(Y= 12) = 1/36, e…

A: Let Y be the total number of rolling a pair of dice.

Q: 1. Given x1 = 3, x2 = 4, x3 = 5, x4 = 6, X5 = 7, X6= 8 %3D %3D Find: a) ex b) ex c) exy d) e4x 2.…

A: Since you have posted a question with multiple subparts, we will solve first three parts for you. To…

Q: A golf club manufacturer claims that golfers can lower their scores by using the manufacturer's…

A: As per the question we have Claim: - Golfers can lower their score by using the manufacturer’s newly…

Q: if P(A)= 0.70 , P(B)= 0.60 P(ANB)=0.50 Then P(A/BC) =

A: Given that PA=0.70PB=0.60PA∩B=0.50

Q: For numbers 1 to 4: Tay-Sachs (TS) disease is a rare genetic disorder passed from parents to…

A: GivenNo.of children(n)=4p=0.05Let "x" be the no.of children with the…

Q: 12.) Let X be a random variable that tells us the total value of rolled dice (dice means two). Then…

A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2) (3,3)…

Q: Questions 15. Please write mean as M and ST.DV as 6. Please write clearly so I can understand hand…

A: 15)Given data is x 2 3 4 5 6 7 8 P(x) 0.15 0.32 0.24 0.13 0.08 0.06 0.02

Q: an unfair coin with Pr[H]=0.85 is flipped. If the flip results in head, one student is selected at…

A:

Q: Question 13: Events A and B are defined as follows: P(A) = 0.46 P(B) = 0.62 P(A U B) = 0.94 Part A:…

A: As per the guidelines, we are supposed to solve the first question only. Please repost other…

Q: ION Empirical Probabilities (use of relative frequencies) [will be addd soon] blood type and Rh…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: For any two events A and B it is known that P(A) = 2/3, P(AUB) = 7/12 and P(A∩B) = 5/12, find P(B

A:

Q: Which of the following is NOT true:

A: Here given different sentences for probability .

Q: For any two events A and B and P(B)÷ 1 and A N B = Ø, find weather the following statement is true…

A: GivenTw events A and B P(B) ≠1A∩B = ϕ So A and B are mutually exclusive events, So P(A∩B)=0. The…

Q: Q15: Let A and B be two events such that Let A and B be two events such that P (A) > 0 and P (B) >…

A: When two events are independent PA∩B=PA×PB And PA∩B=0 can only be possible when either PA=0 or PB=0

Q: According to Jane, two particular events happened at the same time. T/F: According to Penny, these…

A: 3. To check whether the information is true or not.

Q: Example 5.3. An experiment on rabbits is designed by taking N = 20 identical rabbits. But rabbits…

A: Introduction :-  Here we have to find an appropriate probability law means distribution for the…

Q: Two hundred adults age 18 to 29 were polled regarding their use of various social media websites,…

A:

Q: Question 3. Suppose we have a four-sided dice that takes value from {0, 1,2,3) with equal…

A: It is required to find the PMF p (x) or probability mass function, E (X) or expectation, and Var (X)…

Q: Write the capital letter to the correct answer. For example, if the answer is σ write J Which of…

A: The study is about the population variance.

Q: QUESTION 1 The probability distribution of random variable X is a) b) c) Show that k = 6. Find P(X <…

A: As per our guidelines we are supposed to answer only 3 subparts of any questions so i am solving…

Q: Let E and F be two events in S with P(E) = 0.54, P(F) = 0.57, and P(E ∩ F) = 0.21. Find P(EC ∩ F).…

A: P(E) =0.54P(F) =0.57=0.21

Q: Suppose an event E and its complement E then P(E) +P(E) = 1 P(E) +P(E) =0 P(E) - P(E) =1 P(E) P(E)…

A:

Q: 16. If P(A/B)=0.3 and P(B) = 0.2, determine the probability of P(BIA). 0.16 0.20 1.0 None of the…

A:

Q: 16. If P(A/B)=0.3 and P(B) = 0.2, determine the probability of P(BIA). 0.16 0.20 01.0 None of the…

A: From the provided information, P (A|B) = 0.3 And P (B) = 0.2

Q: 4. Suppose two events E and F satisfy P(E)= 0.3, P(F) = 0.5 and P(E' F) = 0.3. (a) Compute P(En F).…

A: The question is about is probability Given : P ( E ) = 0.3  P ( F ) = 0.5 P ( E' ∩  F' ) = 0.3   To…

Q: Part d, e, and f

A: The normal distribution:A continuous random variable x is said to follow normal distribution if the…

Q: A fair coin is tossed three times. Let R, S and T be three events R: maximum one coin shows tail, S:…

A: Solution: A fair coin is tossed three times. The sample space Ω is  Ω= { HHH, HHT,…

Q: Let X be a random sample from the following list:  0, 0, 0, 0, 1, 2, 2, 7

A: Given that X is a random sample of value 0, 0, 0, 0, 1, 2, 2, 7. Formula: Ex=sum of x valuesnumber…

Q: Let A and B be two events in some probability space such that P(AUB)) = 0.4 and P(An B) = 0.1. Let E…

A:

Q: 1. Let the random variable X denote a natural number selected at random from 1 to 25 inclusive. Find…

A: According to the provided information, X denotes a natural number selected at random from 1 to 25…

Q: If random variable X is such that E[(X-1)]=10, E[(X-2)] = 6, what is σ'

A:

Q: and 4p-1. Find the value of (a) -3√TI (b)-3-√II (c) -3+√II (d) 3-√II Use the following to answer…

A: Given that  p(x)=c/3x  x=1,2,3... 35.. We have to find value of c  36.. P(2≤X&lt;5 )    37.. We have…

Q: 3. Consider tw o evénts A and B such that Pr(A)= 1/3 and Pr(B)= 1,2. Determine the value of Pr(B 0A)…

A: Given PrA=13 and PrB=12 and A and B are disjoint, that means PrA∩B=PrA×PrB…

Q: Consider the following random experiment: we toss a two-sided coin (H on one side and on the other…

A: Given that a two side coin tossed with P(head)=0.3 &amp; n=3616

Q: Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d).…

A: