This is an Online exam that is due April 17, 2023 2:00pm Eastern Standard Time. Please let me know...

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This is an Online exam that is due April 17, 2023 2:00pm Eastern Standard Time. Please let me know if you need more information.

Homework 3 1) Classify each of the following random variables as discrete or continuous: a) the number of girls born to a couple who will have three children. b) the number of defects found on an automobile at final inspection. c) the weight (in ounces) of the sandwich meat placed on a submarine sandwich. d) the number of incorrect lab procedures conducted at a hospital during a particular week. e) the number of customers served during a given day at a drive-through window. f) the time needed by a clerk to complete a task. g) the temperature of a pizza oven at a particular time. 2) Consider the following investment outcomes and corresponding probabilities: Bad outcome: -40,000 with probability 25% Ok outcome: 10,000 with probability 70% Great outcome: 70,000 with probability 5% What is the expected monetary outcome and standard deviation of monetary outcome for this investment? 3) We are selling five thousand raffle tickets for $10 each to fundraise for AU. We will give away one car worth $20,000, two home theatre systems worth $3,000 each, five phones worth $400 each, and 50 gift certificates for $20 each. If someone buys one ticket, what is their expected winnings. Don’t forget to subtract the cost of the ticket. 4) Suppose that x is a binomial random variable with n = 5 and p = .3. a) Calculate p(x) for each value of x. b) Find P(x = 3). c) Find P(x <= 3).="" d)="" find="" p(x="">< 3).="" e)="" find="" p(x="">= 4). f) Find P(x > 2). 5) Thirty percent of all students entering a coffee shop also buy a pastry. Suppose six students enter the coffee shop and the students make independent purchase decisions. Calculate the following probabilities: a) That exactly five students buy a pastry. b) That at least three students buy a pastry. c) That two or fewer students buy a pastry. d) That at least one student buys a pastry. 6) A professor claims that 90 percent of all email queries are responded to within 24 hours (excluding weekends). In order to test this claim, a random sample of 15 students who have recently emailed the professor were selected. Find the following probabilities: a) P(x <= 13).="" b)="" p(x=""> 10). c) P(x >= 14). d) P(9 <= x'=""><=12). e)="" p(x=""><= 9).>

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Mukesh · Accepted Answer

118985
Question 1:
A trader tracked monthly changes on the S&P 500 index and COCO stock prices
from 2017 to 2022. The monthly changes on each asset (S&P 500 and COCO) were
classified as either up (for an upward movement) or down (for a downward
movement). The results are summarized in the contingency table below. Each
observation in the table corresponds to 1 month.
S&P 500
Down Up
COCO Down 18 7
Up 4 31
Suppose you randomly select 1 month from this population and use it to calculate
probabilities of upward and downward movements on the two assets.
a) What is the probability that the S&P 500 goes up and COCO goes up? Round
your answer to three decimals.
Answer: A) 0.517
Question 2
A trader tracked monthly changes on the S&P 500 index and COCO stock prices
from 2017 to 2022. The monthly changes on each asset (S&P 500 and COCO) were
classified as either up (for an upward movement) or down (for a downward
movement). The results are summarized in the contingency table below. Each
observation in the table corresponds to 1 month.
S&P 500
Down Up
COCO Down 18 7
Up 4 31
Suppose you randomly select 1 month from this population and use it to calculate
probabilities of upward and downward movements on the two assets.
b) What is the probability that the S&P 500 goes down and COCO goes down?
Round your answer to three decimals.
Answer B) 0.3
Question 3: A trader tracked monthly changes on the S&P 500 index and COCO
stock prices from 2017 to 2022. The monthly changes on each asset (S&P 500 and
COCO) were classified as either up (for an upward movement) or down (for a
downward movement). The results are summarized in the contingency table below.
Each observation in the table corresponds to 1 month.
S&P 500
Down Up
COCO Down 18 7
Up 4 31
Suppose you randomly select 1 month from this population and use it to calculate
probabilities of upward and downward movements on the two assets.
c) What is the probability that the S&P 500 goes up and COCO goes down? Round
your answer to three decimals.
Answer: c) 0.117
Question 4: A trader tracked monthly changes on the S&P 500 index and COCO
stock prices from 2017 to 2022. The monthly changes on each asset (S&P 500 and
COCO) were classified as either up (for an upward movement) or down (for a
downward movement). The results are summarized in the contingency table below.
Each observation in the table corresponds to 1 month.
S&P 500
Down Up
COCO Down 18 7
Up 4 31
Suppose you randomly select 1 month from this population and use it to calculate
probabilities of upward and downward movements on the two assets.
d) What is the probability that the S&P 500 goes down and COCO goes up? Round
your answer to three decimals.
Answer: D) 0.067
Question 5
A trader tracked monthly changes on the S&P 500 index and COCO stock prices
from 2017 to 2022. The monthly changes on each asset (S&P 500 and COCO) were
classified as either up (for an upward movement) or down (for a downward
movement). The results are summarized in the contingency table below. Each
observation in the table corresponds to 1 month.
S&P 500
Down Up
COCO Down 18 7
Up 4 31
Suppose you randomly select 1 month from this population and use it to calculate
probabilities of upward and downward movements on the two assets.
e) What is the probability that COCO goes up given that the S&P 500 goes down?
Round your answer to three decimals.
Answer:
The probability of the S&P 500 going up and
COCO going up can be calculated by
dividing the number of months where both
assets went up (31) by the total number of
months (18+7+4+31=60):
Probability(S&P 500 up and COCO up) =
31/60 ≈ 0.517
Rounding to three decimals, the probability is
approximately 0.517.

Sun	Mon	Tue	Wed	Thu	Fri	Sat
30	31	1	2	3	4	5
6	7	8	9	10	11	12
13	14	15	16	17	18	19
20	21	22	23	24	25	26
27	28	29	30	1	2	3

This is an Online exam that is due April 17, 2023 2:00pm Eastern Standard Time. Please let me know if you need more information.

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