Statistics Help: Answers to Questions & Explanations

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SUMMARY

This discussion focuses on various probability and statistics problems, including mutually exclusive events, binomial distributions, and normal distributions. Key questions include calculating the probability of events X and Y, the likelihood of strangers' birth days, and expectations for customer purchases at Steele Electronics, Inc. Additionally, the discussion covers z-scores for labor costs and the distribution of starting salaries for college graduates. The participants emphasize the importance of attempting the homework independently for better understanding.

PREREQUISITES
  • Understanding of basic probability concepts, including mutually exclusive events
  • Familiarity with the binomial probability formula
  • Knowledge of normal distribution and z-scores
  • Ability to interpret statistical reports and data
NEXT STEPS
  • Study the binomial probability formula for various scenarios
  • Learn how to calculate z-scores and interpret their significance
  • Explore the concept of mutually exclusive events in probability theory
  • Research customer behavior modeling in retail environments
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Students studying statistics, educators teaching probability concepts, and professionals in data analysis or market research who require a solid understanding of statistical methods.

PARAJON
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I need help on the following Questions that I'm working on. Can someone explain to me and show me how they came up with the answers. Thank you.

:confused:


#1

The events X and Y are mutually exclusive. Suppose P(X) = .05 and P(Y) = .02. What is the probability of either X or Y occurring? What is the probability that neither X nor Y will happen?


#2

If you ask three strangers on campus, what is the probability: (a) All were born on Wednesday? (b) All were born on different days of the week? (c) None were born on a Saturday?

#3

In a binomial situation n=5 and pie = .40 Determine the probabilities of the following events using the binomial formula.

a. x = 1

b. x = 2


#4

Steele Electronics, Inc. sells expensive brands of stereo equipment in several shopping malls throughout the northwest section of the United States. The Marketing Research Department of Steele reports that 30 percent of the customers entering the store that indicate they are browsing will, in the end, make a purchase. Let the last 20 customers who enter the store be a sample.

a. How many of these customers would you expect to make a purchase

b. What is the probability that exactly five of these customers make a purchase?

c. What is the probability ten or more make a purchase?

d. Does it seem likely at least one will make a purchase?



#5

A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color TV is $90 with a standard deviation of $22. Monte’s TV Sales and Service completed repairs on two sets this morning. The labor cost for the first was $75 and it was $100 for the second. Compute z values for each and comment on your findings.


#6

The mean starting salary for college graduates in the spring of 2000 was $31,280. Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300. What percent of the graduates have starting salaries:

a. Between $30,000 and $35,0000

b. More than $40,000

c. Between $35,000 and $40,000
 
Physics news on Phys.org
1. Look up the definitoins.
2. think about it a little
3. what's x?
4. see 2.
5. what's z?
6. use the formulae even though the assumptions are ridiculous.


sorry, but the questions that make sense are failrly easy, and this is obviously homework, and a lot more good will come if you try ther homework yourself, perhaps seying what you've done will demonstrate you've tried it at least in part.
 

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