Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places.   P(X | Y) = 0.6, P(Y' ) = 0.5, P(X | Y' ) = 0.7. Find P(Y | X).

Q: Let x have an exponential distribution with λ = 1. Find the probability. (Round your answer to four…

A: It is given that X have an Exponential distribution with λ = 1.

Q: Consider events A and B with P(A) = 0.6. P(B) = 0.7 and P(An B) = 0.4 -Calculate P(A U B). Answer as…

A: Given  P(A)=0.6,P(B)=0.7 and P(A∩B)=0.4 We want to find  (a) P(A∪B)= ?  (b) P(A')= ?  (c) P(A/B)= ?

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

A: Given,P(E)=0.35

Q: 168. Correlation Let X and Y be jointly distributed with p(X,Y) = 1/2, o x = 2, and oy = 3. Find…

A: Given See the hand written solution

Q: The velocity of a particle in a gas is a random variable X with probability distribution fx(x) =…

A:

Q: P(Z<c)=0.1294 Find c rounded to 2 decimal places.

A: It is given that the area to the left of c is 0.1294.

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

A:

Q: Peter and Mary take turns throwing one dart at the dartboard. Peter hits the bullseye with…

A: To find the expected number of darts thrown (E[Y]), we can use the concept of geometric…

Q: Suppose that you have 9 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given  :  There are 9 green cards and 5 yellow cards Total cards = 9+5 = 14 2 cards are drawn at…

Q: -2 3. Using Simpson's Rule, find the value of £2₂, 3x dx using 4 intervals. Find the true value…

A:

Q: Interpret the relationship of lprod to lprice in short run and long run

A: Given information: Regression output is given.

Q: Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to…

A: From the given information, P(X|Y)=0.8P(Y')=0.1P(X|Y')=0.9P(Y)=1-P(Y')=1-0.1=0.9

Q: Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to…

A: Given: P(X|Y)=0.2, P(Y')=0.1 and P(X|Y')=0.7.

Q: (E,-0,) Estimate 0 by minimizing the function where E, is the expected number of j=1 losses in the…

A:

Q: T=s-3/7 for s  s=

A: Multiply both sides by 7

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

A:

Q: The profits of a mobile company are normally distributed with Mean of R.O (D x 10) and standard…

A:

Q: If T is the event that a convict committed theft and B is the event that the convict committed…

A: Given, T = Event that a convict committed theft B = Event that a convict committed Burglary TI =…

Q: X is a discrete variable with the probability distribution B(18, 0.35) Determine the value of Fx(4).

A: given data : binomial distribution  X~B(18,0.35) n = 18 p = 0.35 FX(4) = ?

Q: Find the values of t that bound the middle 0.8 of the distribution for df = 29. (Give your answers…

A: The degrees of freedom is 29. The confidence level(middle value) is 0.80 then the significance level…

Q: Example 2: Consider the following function shown below. Use it to answer the following questions.…

A: Solution

Q: Suppose Y ~ Uniform(01, O2) where the parameters 01 and 02 take the values -4 and 6 respectively.…

A:

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

A:

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

A:

Q: Suppose that the duration of a particular type of criminal trial is known to be normally distributed…

A: Given : Suppose that the duration of a particular type of criminal trial is known to be normally…

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: EXP(1), X1:EXP(1), X1 and X2 are indeper

A: The expressions given are : fx1=e-x1  , x1&gt;0. fx2=e-x2  , x2&gt;0. The distribution of Y=minX1,…

Q: O 2.89 O 1.89 O 0.94 O 5.78

A: Given query is to find average value of the function.

Q: # 14 Find the indicated probability. P(x> 2); µ = 3; o = 0.25

A: Solution

Q: 7. A study tracked a large group of people for 10 years. At the start of the study, 20% were hea…

A: Given that,

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

A:

Q: nd the probability of rolling a sum less th m greater than 9 when a pair of dice is rol

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Let X have a gamma distribution (a, ß)and Let Y = e*. Find G(y)and g(y) by D F method

A: From the given information, X be a gamma distribution (α,β).

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…