1. In class, we showed that for a Poisson distribution X with parameter d, the mean is A. You will do a similar process here to show E[X] =+X?. This means that Var[X] = E[X*] - (E[X])? = 2- = 1. To do this, we need to show E[X) = E²P[X = k] = .e- = A+X?. Part way k! k-0 k-0 Aペ-1 into the proof, you will need the following in the middle: k (k – 1)! k-1)T- 1)! k=1 k=1 入ペ-1 Σ (k – 1)! kl

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1917694
A learn-us-east-1-prod-fleet01-xythos.s3.amazonaws.com/5f3731704cfb1/1917694?response-cache-control=private%2C%20max-age%3D21600&response.. ☆
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1. In class, we showed that for a Poisson distribution X with parameter A, the mean is X.
You will do a similar process here to show E[X²] = X + X². This means that Var[X] =
E[X²] – (E[X])² = 1+ x² – x² = A.
To do this, we need to show E[X²] =k?P[X = k] =>
= 1+X. Part way
k!
k=0
k=0
人k-1
into the proof, you will need the following in the middle:
(k – 1)!
:-1)
(k – 1)!
k=1
k=1
(k – 1)!"
2. The number of cookies sold at a bakery each day follows a Poisson distribution with mean
7.2.
(a) What is the probability that the bakery sells fewer than five cookies in a day?
(b) What is the probability that the bakery sells exactly twelve cookies over two days?
(c) What is the variance of the number of cookies sold in a seven-day week?
3. B-mobile has in stock 6 y-Phones and 5 Galacies. Four people come to B-mobile to purchase
a phone. They will choose their phone at random.
(a) What is the probability that exactly three y-Phones are sold?
(b) What is the expected number of y-Phones sold?
(c) What is the variance of the number of y-Phones sold?
4. Jordan is practicing field goals. On each attempt, ze have a 0.35 chance of making it. Let X
be the number of attempts ze needs to make five successful attempts.
10:08 AM
O Type here to search
HW #6 PT - ..
O My Question..
O Answered: A ..
O 1917694 - G...
W
11/3/2020
...
Transcribed Image Text:1917694 A learn-us-east-1-prod-fleet01-xythos.s3.amazonaws.com/5f3731704cfb1/1917694?response-cache-control=private%2C%20max-age%3D21600&response.. ☆ E 1. In class, we showed that for a Poisson distribution X with parameter A, the mean is X. You will do a similar process here to show E[X²] = X + X². This means that Var[X] = E[X²] – (E[X])² = 1+ x² – x² = A. To do this, we need to show E[X²] =k?P[X = k] => = 1+X. Part way k! k=0 k=0 人k-1 into the proof, you will need the following in the middle: (k – 1)! :-1) (k – 1)! k=1 k=1 (k – 1)!" 2. The number of cookies sold at a bakery each day follows a Poisson distribution with mean 7.2. (a) What is the probability that the bakery sells fewer than five cookies in a day? (b) What is the probability that the bakery sells exactly twelve cookies over two days? (c) What is the variance of the number of cookies sold in a seven-day week? 3. B-mobile has in stock 6 y-Phones and 5 Galacies. Four people come to B-mobile to purchase a phone. They will choose their phone at random. (a) What is the probability that exactly three y-Phones are sold? (b) What is the expected number of y-Phones sold? (c) What is the variance of the number of y-Phones sold? 4. Jordan is practicing field goals. On each attempt, ze have a 0.35 chance of making it. Let X be the number of attempts ze needs to make five successful attempts. 10:08 AM O Type here to search HW #6 PT - .. O My Question.. O Answered: A .. O 1917694 - G... W 11/3/2020 ...
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