1 Given that A and B are two events where P(A) = , P(B') = 3 Find P(AUB) =: 4 (a) P(AOB) (b) P(A|B) (d)

Q: A certain drug manufactured by a company is tested chemically for its toxic nature. Let the event…

A:

Q: For two events, M and N, P(M)=0.4, P(N|M) = 0.7, and P(N|M')=0.2. Find P(MIN'). P(MIN') = (Simplify…

A: For two events M  and N, the given probabilities are as follows, P(M)=0.4P(N|M)=0.7P(N|M')=0.2 Since…

Q: Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin…

A: (a) If G1(A,B,C)A = 1 if exactly one of the coins is heads, then either A is heads and the others…

Q: If x is a random variable (3,x-bn), find the smallest value for n so that it achieves 0.8 <(1 2 p(x)…

A: If a random variable X follows binomial distribution. X~Bx, n, p=13 and PX≥1&gt;0.8 We need to find…

Q: P(AOB), P(B), P(A).

A: We know that P(A | B) is defined as P(A | B) = P(A and B)/P(B) And P(A' and B) = P(B) - P(A and B)…

Q: 22. Suppose {An} are independent events such that Ỹ (P(An) / (1 - P(An))) = n=1 Show P is…

A: Given::- Suppose {An} are independent events such that (PCA) (1-P(A)) = 0. n=1

Q: Let X be a random variable with p.d.f. 4k 1< x<10 f (x) =< find k. O.W

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Q: -, P(T|R) P(RT) 9 Consider two events R and T. Find- 1)P(R' UT) = ? = 3 2/7,P( ,P(ROT) = 116 8

A: From the provided information,

Q: If E and F are two independent events, such that P (E ∩ F ) = 1/6 , P (E' ∩ F' ) = 1/3 and (P (E) −…

A:

Q: ) Let X be a random variable with p.d.f.

A: It is an important part of statistics. It is widely used.

Q: Compute the probability of X  success (a)n=, 3,p=, 0.4 X=2 P(X)= (b)n=, 5,p=, 0.7 X=4 P(X)=…

A:

Q: When a man observed a sobriety checkpoint conducted by a police department, he saw 671 drivers were…

A: According to the given information, we have Total number of drivers = 671 Number of drivers that…

Q: Lord Vile drinks his whisky randomly, and the probability that, on a given day, he aasn glasses…

A:

Q: Let M and N be two independent events such that P(M) = 1/3 and P(N) = 1/4. Find P(M/N')

A:

Q: Suppose that E and F are two events such that Pr[E] = 17/29, Pr[F] = 13/29, and Pr[EN F] = 8/29.…

A: Given, P(E) = 1729P(F) = 1329P(E∩F)=829

Q: 13. If {Bk} are events such that >P(Bk) > n – 1, k=1 then P Bx) > 0. k=1

A:

Q: With individual lines at the checkouts, a store manager finds that the standard deviation for the…

A: Here, the data is based on the waiting time. Hence, only one population is involved in the study.…

Q: find P( X' ∩ Y)

A: Here given x and y mutually exclusive

Q: Consider two events A and B such that P(A) 8' - P(A/B) 1 and P(B/A) 4 1 Examine th following…

A:

Q: There are two ways of moving from point X to point Y and two ways of moving from point Y to point Z.…

A: It is an important part of statistics. It is widely used.

Q: 1(a). Let F be the event that a person chosen at random is a female and L be the event that a person…

A: Solution: Let F be the event that a  person chosen at random is a female.  L be the event that a…

Q: Q2/(a) Let X be a random variable with p.d.f. kx 1<x<∞ S(x)=• find k. O.w

A: The p.d.f of X is given below: fx=kx-2   1&lt;x&lt;∞0          ow

Q: 4. [Maximum mark: 5] In a class of 24 students, 12 study French, 8 study Spanish, and 8 do not study…

A: (a) Total = No. of students who study French only + No. of students who study Spanish only + No. of…

Q: a) For a a random variable X, E (X²) ≥ [E (X)]². b) The probability that exactly one of the events A…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: 2) Required probability is given by 99 P(X 2 100) = 1 - (C")-0.01°- 0.99-3 = 1 - 0.0092427 0.990757…

A: Here the given probability calculation is given :

Q: 2) Suppose that X is a continuous random variable with probability distribution fx(x) = ₁ 0 ≤x≤4…

A: The probability distribution function (pdf) of a continuous random variable X is

Q: 11. The probability distribution function, P(X-x) of a discrete random variable X is defined as for…

A: Part a: We have been given the probability distribution function as, P(X=x)=27       for x=047…

Q: =event with exactly 2 heads, and B=event at le

A: To find: P(BA') A is the event with exactly 2 heads. B is the event that at least one head appears.

Q: Problem 1) For any two events A and B with P(B) + 0, prove that P(A| B) + P(A'| B) = 1.

A:

Q: Suppose you are tossing a fair coin to bet. At each time your gain is Xi. The rule is: () if you get…

A: Here we consider fair coin means an unbiased coin which has the same probability of showing head as…

Q: Which of the following is not true if a successful event is to draw a heart from a standard deck of…

A: A : A is a event of drawing a heart from standard deck of 52 cards.  There are four suits(Hearts,…

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…