3. (Independent Trials). A rifleman hits (H) his target with probability 2/5, and hence misses (M) with probability 3/5. He firesfour times.(i) Write down all the elements of the event A that the man hits the target exactly twice (e.g. the samples MMHH and MHMHbelong to A, but the samples HHHM and MMMH don't) and find P(A).(ii) Assuming independence of shots, find the probability that the man hits the target at least once.For Problem 4, apart from the main table showing the numerical answers to (sub)problems, for each random variable Z underconsideration having the set of values {21, 2,..., ze} and the distribution function f, provide a standard table showing the process ofdetermination of the expected value E(Z) and the expected value E(Z?) of Z?:Zk|| 2122ZeTotalF(2e)zef (ze)zef (ze)f(zk)f(21)Zk f (Zk) 21f(z1) | 2f(22)F(2k) || zif(21) | 3f(22)f(22)As is was discussed in class, whenever all entries in a given table are rational numbers, they can be entered, for convenience's sake, 'asthey are'; otherwise, please round all the entries of the table to 5-digit floating-point numbers.

Answered: 3. (Independent Trials). A rifleman…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A sample is selected from one of two populations, S, and S₂, with P(S₁) = 0.6 and P(S₂) = 0.4. The probabilities that an event A occurs, given that event S, or S₂ has occurred are P(A|S₂) = = 0.4 and P(AIS₂) = 0.3 and the probability of event A is P(A) = 0.36. Use Bayes' Rule to find P(S, IA). (Round your answer to four decimal places.)
2. A and B are events such that P(A) = 0.3, P(B) = 0.4, P(A/B) = 0.5. Calculate: (1) P(AB) and P(A + B); (2) P(BA).
A and B are two events. If P(A) =0.28, P(B) =0.30, P(A|B) =0.50 Find the P(A' and B)
If A and B are two events such that P (A or B) =2/3, P(A N BC )=1/3 and P(A/B)= 1/6. Find P(B). Select one: a. 7/18 О Б. 2/3 O c. 1/18 O d. 1/3
3. (Independent Trials). A rifleman hits (H) his target with probability 16/23, and hence misses (M) with probability 7/23. He fires four times. (i) Write down all the elements of the event A that the man hits the target exactly twice (e.g. the samples MMHH and MHMH belong to A, but the samples HHHM and MMMH don't) and find P(A). (ii) Assuming independence of shots, find the probability that the man hits the target at least once.
1. Event A occurs with probability 0.1. Event B occurs with probability 0.6. If A and B are independent, then (а) Р(А or B) %3D 0.70. (b) Р(А or B) 3 0.06. (c) P(A and B) = 0.06. (d) P(A and B) = 0.70.
(a) P(E) = 0.8, P(F) = 0.5. Suppose E and F are indepdendent.Compute P(E or F) and P(E and F).(b) Suppose that E and F are two events, and P(E) = 0.9 and P(F|E) = 0.3.Compute P(E and F).
On a certain stretch of the East Coast Expressway, on average three birds per week are killed colliding with passing vehicles. The highway authority decides that if the probability of more than three birds per week being hit is more than 0.1, a special committee will be appointed to deal with the problem. Q1 (a) Determine whether the special committee will be appointed or not.
If A and B are independent events with P(A)=0.3 and P(B)=0.4. Then P(AB) is
If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(AN B) = 1/15 then Find P(ANB)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS