If you flip a coin 27 times. the flips are independent, and the probability of heads in each flip is p=0.851, X = total amount of heads. Find E[ X]

Q: Suppose tat the life length of a certain kind of light bulb, after it is installed is exponentially…

A: Given that the lifetime of a certain kind of light bulb, X follows Exponential distribition with…

Q: For the continuous probability function f(x) = 2kx? e-* when x 2 0. Find a. value of k %3D b. mean

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Q: A coin which has probability 0.88 of coming up Heads is tossed three times. Let Y be the number of…

A: It is given that probability of getting head is 0.88 and coin is tossed three times.

Q: If X has the exponential distribution given by f(x) =0.5 e−0.5x, x > 0, find the probability that…

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Q: A coin which has probability 0.4 of coming up Heads is tossed three times. Let Y be the number of…

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Q: The value of 34 log, V3 is 68.0 O 136.0 O 17.0 O 0.0 O 34

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Q: Ex7: Suppose that X has an exponential distribution with λ = 2. Determine the following: a/ P(X ≤0)…

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Q: e. If log„(1944) = log, (486v2), find the values of n³.

A: log2n(1944) = logn(486√2) log1944/log2n = log(486√2)/logn (log1944)*log(n) = (log2 +…

Q: A coin which has probability 0.82 of coming up Heads is tossed three times. Let Y be the number of…

A: Y be the number of tails given  Given  probability of head =q=0.8

Q: Rewrite the statement e = 0.0498 in the form a = ln b. Give the values of a and b. b =|

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Q: A die is rolled 7 times. Let S be the sum of the numbers observed. What is the value of E(S)?

A: Lets Assume we have a 6 faced unbiased dice :

Q: Find each probability. (a) X ∼ Gaussian (0, 3). Find P[X > 4.5]. (b) Y ∼ Gaussian (50, 10). Find P[X…

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Q: The unemployment rate in a city is 12%. If 6 people from the city are sampled at random, find the…

A: p(unemployed) = p = 0.12n = 6p(x≤2) = ?

Q: "Determine the cdf of an exponential distribution with pdf shown below. Find the probability when…

A: # here Given thatf(x) = 2λe-xλ      :    x>0    0          :    otherhere λ = 3

Q: The probability that you will receive a wrong number call this week is 0.1. The probability that you…

A: From the provided information, Let A represent the event that he will receive a wrong number call…

Q: A coin which has probability 0.49 of coming up Heads is tossed three times. Let Y be the number of…

A: Binomial probability distribution has utilized.

Q: If X has the exponential distribution given by: f(x) = 4*(1 - x/2); 1 ≤ x ≤ 2.   Find the…

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Q: A coin which has probability 0.56 of coming up Heads is tossed three times. Let ?Y be the number of…

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Q: GM = VX, x X2 x · . · x Xn GM = Antilog log X; i=1

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Q: A coin which has probability 0.17 of coming up Heads is tossed three times. Let Y be the number of…

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Q: Find the probability P(E©) if P(E) =0.35. The probability P(E) is. (Simplify your answer.)

A: Ans - Given P(E) = 0.35           Find  P(Ec)  = ?

Q: F(x) is cdf of X. Cumulative probability X is 2,4,7 and 9 is 0.1,0.4,0.8 and 1. calculate the…

A: We can right this cdf in tubular form as X 2 4 7 9 F(X) 0.1 0.4 0.8 1 Hence we have…

Q: If X-N(H , 5), Find u if P(X>12) = 0.02118 a. 1.85 b. 22.15 C. 2.03 d. 11.89

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Q: contra is req by a cou planning department to e, four, (depending nature of the project) in applying…

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Q: 1. 12 P(X = x) 0.25 0.50 0.05 0.20 3.

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Q: Events X and Y are such that P(X) = 0.35 and P(X U Y) = 0.80. Given that X and Y are independent and…

A: Obtain the probability of P(Y). The probability of P(Y) is obtained below:   Non-Mutually exclusive…

Q: Given the function Ax) = logx, determine the value of ff (23)). a. 1023 b. 2.3 с. 23 d. 230

A: Inverse function: Let f:X→Y is a function from the set X to the set Y such that fx=y where x∈X and y…

Q: The average time to get your order at a restaurant is 15 minutes. What is probability that you will…

A: here given ,  p(a ≤ X ≤ b) = ∫ab1μ e-x15 dx

Q: Use the given information to find the indicated probability. P(A) = 0.70. Find P(A'). P(A') =

A: Given P(A)=0.70

Q: eg Show thaf Full likely hod ven by W - M

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Q: n 1938, a physicist named Frank Benford discovered that the number 1 appears in the first digit of…

A: Given the probability of occurrence of the first digit of a number can be written in the form of a…

Q: fiow = {o froa) x+3 X = 3 find en fraw eー23 lr frm) = 2 ベ→3

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Q: 2.4.10 Show that det(e4) = etr(A) for all A E Mn(C). D %3D

A: The given problem is to show the given identity. To show: det(eA)=etr(A) for all A belongs to Mn(C).

Q: Therefore, the probability that two or three plants emerged from treated seeds is

A: The formula for hypergeometric distribution is given below.Given that,The formula for Hypergeometric…

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

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Q: Let the time until the breakdown of a circuit element be exponentially distributed. If the…

A: