Assume that the coin is weighted so that Pr[H]=1/4, and that it is flipped 15 times. The random variable X is defined as the number of heads in the 15 flips. What is E[X]?

Q: K In finance, one example of a derivative is a financial asset whose value is determined (derived)…

A: We have given that P(default) = 0.07

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A: event  A : well dressed            B : moderately  dressed            C : poorly dressed…

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Q: The numbers 1, 2, 3, and 4 are written on slips of paper, and 2 slips are drawn at random one at a…

A: S : { 1,2,3,4 } select two without replacement total outcomes = 4*3 = 12

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A:

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A: Given that  Total cards = 52 King cards = 4 Queen cards = 4 Ace cards = 4

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A:

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Q: QUESTION 6 In the hypotheses H:л=0.40, Hл>0.40, at 5 % level of testing significance. if the sample…

A: GivenH0:π=0.40H0:π>0.40α=0.05sample proportion(p^)=0.45sample size(n)=49

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A: f) Solution: First we will understand what is hypothesis.

Q: ||| O PROBABILITY Intersection and conditional probability Suppose that a certain college class…

A:

Q: Prove that P[A BOC]≥1-P[ A ] − P[Bº] - P[Cº].

A: For any two events A and B, intersection of A and B is the occurrence of A and B both. The…

Q: 9. Compute the mean and variance for each of the following distribution, whichever way you find to…

A: Method: Using discrete probability distribution

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A: Given: The data set is as below x y 2 65 3 70 3 75 4 70 5 85 6 85 7 90 Assumed…

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A: Given Information: Sample mean x¯=160 Population standard deviation σ=45 Confidence level is 95%…

Q: If a stock market index goes up 70% of the time, what percent of the time does it go down?

A:

Q: An article reported the following frequencies with which ethnic characters appeared in recorded…

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Q: Suppose P, Q and R are statements. Write down a truth table for the statement P or ((Q= ⇒P) and R).…

A: Here We have three statements, P,Q,R P Q R Q⇒P (Q⇒P)and R P or ((Q⇒P)and R) T T T T T T T T F…

Q: If P is a probability function and A1, A2, A3,...,An A, A₂KA, e, then PUA = EP[A].

A: Given that

Q: tautology, contradiction or contingency. [(~pvq) (~qvr)] → (pr)

A: Using given statement , [ ( ~ p V q ) . ( ~ q V r ) ] →( p → r ) In this statement negation ,…

Q: 13. Prove that 11 D A. sitian AA P(EF) = P(E) – P(EF).

A:

Q: so is 80% z-score 1.

A: The mean and standard deviation of standard normal distribution are 0 and 1, respectively.

Q: 6. Suppose you draw two cards from a standard deck of cards. a. If you replace the first card, what…

A: select two cards at random from standard deck of 52 cards.

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A: Given information:   Mode 1 Mode 2 Mode 3 Mode 4 Total Configuration 1 20 44 17 9 90…

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A: The probability distribution for severity due to trucking accidents is given.

Q: Let A, B, and C be three events, such that each event has a probability of 1/2, each P[A BOC] of two…

A:

Q: Let P(A U B) = .8, and P(A) = .6. Find P(B) assuming A and B are independent! Then determine whether…

A: Given that  P(A U B) = 0.8 , P(Ac) = 0.6

Q: At a certain college, 45% of the students are female, and 19% of the students major in civil…

A: Solution-: Given that: 45% of the students are female i.e. P(F)=0.45 19% of the students  major in…

Q: PROBLEM 10: There are 5 males and 3 females waiting in line at the Fivebucks Coffee Shop,. Two of…

A: Given information- We have given that there are 8 persons waiting in the line of coffee shop. No. of…

Q: An experiment consists of determining the speed of automobiles on a highway by the use of radar…

A: Given that, An experiment consists of determining the speed of automobiles on a highway by the use…

Q: If one card is drawn from a deck, find the probability of getting A king and a heart?

A: standard deck of 52 cards. select one at random p( A king and a heart ) = ?

Q: A researcher believes that about 72% of the seeds planted with the aid of a new chemical fertilizer…

A: p(germinate)=p=0.72sample size, n=125x=No. of seed germinatep(x≥89)=?

Q: find the probability distribution for the number of phones with technical issues.

A: Here given , I am an iphone supplier here in the Philippines. I am able to ship 20 iphones to  small…

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A: given dataμ=14σ=2p(x=20.69) = ?

Q: BJ-P Bhoj.

A: If A and B are any two events.  P(A U B)= P(A) + P(B) - P(A ∩ B)

Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

A: here given,   Ω={1,2,3,4,5,6,} Ai={i} , i=1,2,3,4,5,6 B={1,4} C={2,3,4} D={1,2,3}…

Q: The number of minutes that train is early or late can be modeled by a random variable whose density…

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Q: The likelihood of not rejecting the null hypothesis when the null hypothesis is false is ß, the…

A: Given that  p1 = 0.50 , p2 = 0.25 , m = n = 100

Q: Compute σ2, the variance of x. Compute σ, the standard deviation of x.

A: Given that  Probability mass function of X is  X 0 1 2 3 P(X=x) 0.1 0.2 0.4 0.3

Q: Question 6 The variable yearly income is examined in a regression setting where the predictor…

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