I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
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I want to see the thought
process behind this so that I could approach similar problems...
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
11.Two fair six sided dice are rolled (i) What is the probability that the smallest of the two results is 3 given that the sum (ii) What is the probability that the sum of the two results is at most 5 given that the ii) What is the probability...
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
9. Two fair six sided dice are rolled (i) What is the probability that the sum of the two results is 6? (ii) What is the probability that the largest of the two results is 4? (ii) What is the probability that the both results are at most 4?...
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
6. At a company, 70% of the employees have License 1, 60% have License 2, 20% have neither. Find the probability that a selected employee has (i) License 1 but not License 2. (ii) both licenses. (ii) License 2 given that the employee has License 1.
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
If A and B are two events such that P(AnB)0.3 and P(AnBe)0.2, what is P(A)?
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
10. A box contains 20 purple balls, 10 yellow balls and 13 green balls. A ball is selected from the box. Given that the ball is not yellow, what is the probability that it is not green?
I want to see the thought process behind this so that I could approach similar problems...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
12. Let A, B1, B2, B3 be events such that Bi, B2, B3 are disjoint, PA) = 0.4, P(B2) 0.1, P(Bs) = 0.5 and P(A1B1) = 0.1, PABa) = 0.3, P(ABs)= 0.5. Find P(A)
Suppose you are playing two unfair coins. The probability of tossing a tail is θ for...
Suppose you are playing two unfair coins. The probability of tossing a tail is θ for coin 1, and 2θ for coin 2. You toss each coin for several times, and you get the following results: (a) What is the probability of tossing a head for coin 1 and for coin 2? coin no. result 1 head 2 head 1 tail 1 head 2 tail 2 tail (b) What is the likelihood of the data given ? (c) What is...
Suppose you are playing two unfair coins. The probability of tossing a tail is θ for...
Suppose you are playing two unfair coins. The probability of
tossing a tail is θ for coin 1, and 2θ for coin 2. You toss each
coin several times, and you get the following results:
(a) What is the probability of tossing a head for coin 1 and for
coin 2 [3pts]?
(b) What is the likelihood of the data given θ [7pts]?
(c) What is maximum likelihood estimation for θ [7pts]?
Coin No.Result head head tail head tail tail
2 Maximum Likelihood [25pts] 2.1 Discrete Example 17pts) Suppose you are playing two unfair coins. The...
2 Maximum Likelihood [25pts] 2.1 Discrete Example 17pts) Suppose you are playing two unfair coins. The probability of tossing a tail is θ for coin 1, and 20 for coin 2. You toss each coin for several times, and you get the following results: (a) What is the probability of tossing a head for coin 1 and for coin 2 3pts? Coin No. eult head head tail head tail tail (b) what is the likelihood of the data given θ...
The probability of getting heads from throwing a fair coin is 1/2 The fair coin is...
The probability of getting heads from throwing a fair coin is 1/2 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur? 1/4 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a head? 3/8 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a tail? 1/8 The...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
11.Two fair six sided dice are rolled (i) What is the probability that the smallest of the two results is 3 given that the sum (ii) What is the probability that the sum of the two results is at most 5 given that the ii) What is the probability...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
9. Two fair six sided dice are rolled (i) What is the probability that the sum of the two results is 6? (ii) What is the probability that the largest of the two results is 4? (ii) What is the probability that the both results are at most 4?...
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
6. At a company, 70% of the employees have License 1, 60% have License 2, 20% have neither. Find the probability that a selected employee has (i) License 1 but not License 2. (ii) both licenses. (ii) License 2 given that the employee has License 1.
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
If A and B are two events such that P(AnB)0.3 and P(AnBe)0.2, what is P(A)?
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
10. A box contains 20 purple balls, 10 yellow balls and 13 green balls. A ball is selected from the box. Given that the ball is not yellow, what is the probability that it is not green?
I want to see the thought
process behind this so that I could approach similar problems on my
own, so please attempt to show every step and formula used, thank
you.
12. Let A, B1, B2, B3 be events such that Bi, B2, B3 are disjoint, PA) = 0.4, P(B2) 0.1, P(Bs) = 0.5 and P(A1B1) = 0.1, PABa) = 0.3, P(ABs)= 0.5. Find P(A)
Suppose you are playing two unfair coins. The probability of
tossing a tail is θ for coin 1, and 2θ for coin 2. You toss each
coin several times, and you get the following results:
(a) What is the probability of tossing a head for coin 1 and for
coin 2 [3pts]?
(b) What is the likelihood of the data given θ [7pts]?
(c) What is maximum likelihood estimation for θ [7pts]?
Coin No.Result head head tail head tail tail
2 Maximum Likelihood [25pts] 2.1 Discrete Example 17pts) Suppose you are playing two unfair coins. The probability of tossing a tail is θ for coin 1, and 20 for coin 2. You toss each coin for several times, and you get the following results: (a) What is the probability of tossing a head for coin 1 and for coin 2 3pts? Coin No. eult head head tail head tail tail (b) what is the likelihood of the data given θ...
The probability of getting heads from throwing a fair coin is 1/2 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur? 1/4 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a head? 3/8 The fair coin is tossed 4 times. What is the probability that exactly 3 heads occur given that the first outcome was a tail? 1/8 The...
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