If R is the event that a convict committed armed robbery and D is the event that the convict pushed dope, state in words what probabilities are expressed by (a) P(R|D); (b)P(D'|R); (c)P(R'|D'); (d)P(R'n D').

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

A:

Q: 5. If P(A) = 0.6, P(B) 0.4, and P(An B) = 0.3, determine the following probabilities. each): (a)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

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

A:

Q: Gian is a teacher, as per her class rule, the probability of not getting an additional points for a…

A: Let X be the number of students who getting an additional points from binomial distribution with…

Q: For any two events A and B, we have (i) P(ìB) = P(B) – P(A^B) (ii) P(AB) = P(A) - P(A^B)

A: Answer..

Q: ssume that a randomly selected subject is given a bone density test. Those test scores are normally…

A:

Q: Suppose X~ Poi(X). What is the probability that X is odd?

A: Let X~Poi( λ) then we have to find the probability that X is odd :Formula Used: The probability mass…

Q: Find the probability of choosing two numbers from 0 to 1 such that sum of their square is less than…

A: Formula: Probabolity=(no of  possible out come/Total no of out come)

Q: Find the following probabilities: a) P(X = 2) when X ∼ Bin(4, 0.6) b) P(X > 2) when X ∼ Bin(8,…

A: Consider X be a binomial distributed random variable. The probability mass function of the binomial…

Q: If X ~ exp ((b), calculate the probability that X exceeds its expected value.

A: It is given that X~Exp(b), the PDF PDF of X is given by,

Q: If X is the number of 7’s obtained when rolling a pairof dice three times, find the probability that…

A:

Q: Use BayesTheorem to find P(A|B) using the probabilities shown below P(A)= 5 6 ,P(A^ prime )= 1 6…

A: From the provided information, P (A) = 5/6 P (A') = 1/6 P (B|A) = 1/10 P (B|A') = 7/10

Q: The behavior of a certain stock market index is considered over the next (n+1) consecutive trading…

A: If an experiment is performed with possible outcomes as either success or  failure and the…

Q: (a) Use the definition of conditional probability and additivity of probability to show that P(A° |…

A:

Q: Let A and B are two events. P( A' and B') = 0.35 Find P( A Or B)

A: Answer: From the given data, A and B are two events, P(A' and B') = 0.35

Q: Part (a) Construct a tree diagram of the situation.   Part (b) P(C) =   Part (c) P(F | C) =

A: Given ,      C - A man develop s cancer     P(c) = 0.4956    F = A man has atleast one false…

Q: (a) Show that if we are given the odds in favor of event A as n:m, the probability of event A is…

A: Given that  The odds in favor of event A as n:m Odds in favor of A = nm=P(A)1-P(A) Now,…

Q: Find the probability that the sum of two dice will be less than 7, given that the first dice is a 5.…

A: Given that A = “ sum of the toss of two dice is < 7.” B = “first dice tossed was a 5”. Given that…

Q: Suppose the average number of thefts seen within a retail store on a per day is 5.What is the…

A: Solution: Let X be the number of thefts per day. From the given information, average number of…

Q: Suppose, you are given a straight-line equation, 3x+2y=6 where x and y both of them are integer…

A: ∣y∣<12 means that the values of ∣y∣ can be 11,10,9,8,7,6,5,4,3,2,1 and 0.  Value of |y|…

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: We have given that,  The lengths of the steel are normally distributed with mean (mu) = 240.1 and…

Q: Why the probability P(X=x)=0, for a continuous variable,?

A: Given info: The probability P(X=x)=0, for a continuous variable

Q: The mean of the time it takes for a product to arrive from China is 60 days and the standard…

A: Given: Mean time taken for a product to arrive from China is 60 days, that is, μ=60. Standard…

Q: Find the probability for P(y 3) if y is distributed as N(1, 9)

A: The mean is 1, and standard deviation is 9. The probability for Py<0  or  y>3 is, Py<0  or…

Q: Suppose the probability that a male develops some form of cancer in his lifetime is 0.4573. Suppose…

A:

Q: 1) IfX~B(10,0.7), find the probability for P(X=5)

A: Answer: From the given data, X ~ B(10, 0.7) X is a binomial random variable with parameters n = 10…

Q: QIC/ If the disjoint events A and B such that P(B)=1/3 , then the value of P(BN A) is-----,

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

Q: Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is

A: Given information- P(A) = .40 P(B) = .70 We have to find P (B'/A'). We know that- P(A’) = 1 - P(A)…