Three persons A, Band C are simultaneously shooting a target. Probability ofA hitting the target is that of B is and that ofC is 2/3 Find the probability (i) exactly one of them will hit the target (ii) at least one of them will hit the target. (i) P (eY
Three persons A, Band C are simultaneously shooting a target.
Probability ofA hitting the target is that of B is and that ofC is 2/3
Find the probability (i) exactly one of them will hit the target (ii) at least
one of them will hit the target.
(i) P (eYactly one hits the target)
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Three persons A, Band C are simultaneously shooting a target. Probability ofA hitting the target is that of B is and that ofC is 2/3 Find the probability (i) exactly one of them will hit the target (ii) at least one of them will hit the target. (i) P (eY
2. Three weapons systems are shooting at the same target. From a design standpoint, each weapon h...
2. Three weapons systems are shooting at the same target. From a design standpoint, each weapon has an equally likely chance to hitting the target. However in practice it has been observed that the precision of these weapons systems is not the same; that is, the first weapon usually hits the target 9 out of 12 shots, the second hits 8 out of 12, and the third hits 7 out of 12 shots. We observed that the target has been...
8)Given A, B, Care independent events P (A) =.3, P (B) =.2 and P(C)=4. Find the probability for (a) all occuring (b) none occuring () at least one occuring (d) exactly one occuring
8)Given A, B, Care independent events P (A) =.3, P (B) =.2 andP(C)=4. Find the probability for (a) all occuring (b) none occuring ()at least one occuring (d) exactly one occuring
A) μ 0.90 B).-I C) H 1.10 D)μ-1.15 Use Binomial Distribution to solve problems 4-5 4....
A) μ 0.90 B).-I C) H 1.10 D)μ-1.15 Use Binomial Distribution to solve problems 4-5 4. In a study of brand recognition, 70% of consumers recognized Coke. Find the probability that among 5 randomly selected consumers, exactly 3 will recognize Coke. (Use binomial distribution with parameters n 5 and p 0.70). Show the result of calculations and circle one of the multiple choice answers. (6 points) A) 0.6174 B) 0.2161 C) 0.3087 D) 1.0290 5. Ifa person makes 4 shots...
Four cards are to be drawn simultaneously from a deck of 52. Find the probability that...
Four cards are to be drawn simultaneously from a deck of 52. Find the probability that *(No clue if any of these are right) (a). all four are clubs 13/52 * 12/51 * 11/ 50 * 10/ 51 = 0.00264 (b) at least one is not a club (39 * 51 * 50 * 49 ) / (52 * 51 * 50 * 49) = 0.94 (c) three are black and one is red (21 * 20 * 19 *...
There are four persons A, B, C, D in a room, and one of them is a foreign spy. Other three participants share a secret u...
There are four persons A, B, C, D in a room, and one of them is a foreign spy. Other three participants share a secret using the Shamir’s threshold scheme with secret in Zp, where p = 11. Any two of them can recover the secret. The foreign spy chooses his share randomly. As a result, these four participants have the following four shares: A : (1, 7), B : (3, 0), C : (5, 10), D : (7, 9)....
38 of adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least f
38 of adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.A. P(3)B. P(x≥4)C. P(x<8)
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3,...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778....
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8).
1. Let X~b(x; n, p) (a) For n 6, p...
1. (a) Consider the random variable Y having possible values 1, 2 and 3. The corresponding...
1. (a) Consider the random variable Y having possible values 1, 2 and 3. The corresponding probability for each value is: 1 with probability Y = 2 with probability 3 with probability Determine an expression for the probability mass function (pmf) (11) Determine the mean and the standard deviation of Y. (b) The probability that a man hits a target is and that of his son and daughter are and respectively. If they all fire together, find the probability that:...
Determine the probability P(3) for a binomial experiment with n - 12 trials and the success...
Determine the probability P(3) for a binomial experiment with n - 12 trials and the success probability p=0.2. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability P(3). Round the answer to at least four decimal places. P(3)- Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two...
2. Three weapons systems are shooting at the same target. From a design standpoint, each weapon has an equally likely chance to hitting the target. However in practice it has been observed that the precision of these weapons systems is not the same; that is, the first weapon usually hits the target 9 out of 12 shots, the second hits 8 out of 12, and the third hits 7 out of 12 shots. We observed that the target has been...
A) μ 0.90 B).-I C) H 1.10 D)μ-1.15 Use Binomial Distribution to solve problems 4-5 4. In a study of brand recognition, 70% of consumers recognized Coke. Find the probability that among 5 randomly selected consumers, exactly 3 will recognize Coke. (Use binomial distribution with parameters n 5 and p 0.70). Show the result of calculations and circle one of the multiple choice answers. (6 points) A) 0.6174 B) 0.2161 C) 0.3087 D) 1.0290 5. Ifa person makes 4 shots...
l. Suppose that A, B, and C are events such that PLA] = P[B] = 0.3, P[C] = 0.55, P[An B] = For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. (Hint: Draw the Venn Diagram. You may then want to identify the probabilities of each of the disjoint...
1. Let X~b(x; n, p) (a) For n 6, p .2, find () Prx> 3), (ii) Pr(x23), (ii) Pr(x (b) For n = 15, p= .8, find (i) Pr(X-2), (ii) Pr(X-12), (iii) Pr(X-8). (c) For n 10, find p so that Pr(X 2 8)6778. く2). 2. Let X be a binomial random variable with μ-6 and σ2-2.4. Fin (a) Pr(X> 2) (b) Pr(2 < X < 8). (c) Pr(Xs 8).
1. Let X~b(x; n, p) (a) For n 6, p...
1. (a) Consider the random variable Y having possible values 1, 2 and 3. The corresponding probability for each value is: 1 with probability Y = 2 with probability 3 with probability Determine an expression for the probability mass function (pmf) (11) Determine the mean and the standard deviation of Y. (b) The probability that a man hits a target is and that of his son and daughter are and respectively. If they all fire together, find the probability that:...
Determine the probability P(3) for a binomial experiment with n - 12 trials and the success probability p=0.2. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability P(3). Round the answer to at least four decimal places. P(3)- Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two...
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