Define independent and mutually exclusive events

Assignment Help Basic Statistics
Reference no: EM13915358

For probability questions, define events as:

A: drawing a 10♣

B: drawing a 9♥

P(A&B) = P(A)P(B|A) = ??

Special Exercises (1to 5)

1. What is the probability of drawing at random the 4♥ and the 9♣ from a deck of cards on two successive draws? Use Insert/Insert symbol to get the heart, club, diamond,spade symbol by selecting the drop down menu to the left of Paragraph.  Also, click on the drop down menu next to the Black Square icon in the menu of the Editor to change colors of the characters.

2. 18 people were poled and 10 said they have shopped at Wal-Mart and 8 said they have shopped at Target. 4 said they shopped at both. What is the probability that the group shopped at Wal-Mart or Target?.

3. Define independent and mutually exclusive events mathematically by using P(A) & P(B) for events A & B. 

4. What is the probability of randomly drawing a 10 or a ♦  from a deck of cards?

5. What are the total possible outcomes of rolling a pair of dice? Note that the pair 3,4 is not the same as the pair 4,3. What is the probability of rolling a 7 with a pair of dice? P(7) = No. of successful outcomes/Total No. of outcomes

In questions 1,2,4, begin by clearly defining events A & B as shown below.

For example, A: 4♥ and B:  9♣.  State  P(A)=??, P(B)=?? and then apply the appropriate equations , such as

P(A&B) = P(A)P(B|A) or  P(AorB) = P(A)+P(B)-P(A&B)

Substitute values and compute the answer. I urge you to read the attachments in the Videos-Topics In Stat 230/Probability Rules.

I prefer to use P(A&B) or P(AorB) instead of P(A∩B) or P(A∪B). You will see the latter on the final so be sure you know what the "∩" and  "U" symbols mean.

Reference no: EM13915358

Questions Cloud

What proceeds does receive from the investors : Leahy Corp. sells $300,000 of bonds to private investors. The bonds are due in five years, have a 6% coupon rate and interest is paid semiannually. The bonds were sold to yield 4%. What proceeds does Leahy receive from the investors?
What behaviors would you engage in while coaching james : What type of coaching style would you choose when working with James? What behaviors would you engage in while coaching James in order to ensure that he is productive?
Application-request for proposal : As you have seen throughout this week, the requirements document is an important part of IT planning, regardless of the strategy you are going to employ. This week, you will create a plan for developing a request for proposal document, which relie..
Controlling for sensitivity to the market : Suppose you believe that after controlling for sensitivity to the market, smaller firms should have higher returns. In two sentences, explain what market frictions would lead to that anomaly.
Define independent and mutually exclusive events : 18 people were poled and 10 said they have shopped at Wal-Mart and 8 said they have shopped at Target. 4 said they shopped at both. What is the probability that the group shopped at Wal-Mart or Target? Define independent and mutually exclusive even..
Maturity for the note : On July 9, Mifflin Company receives a $8,700, 120-day, 6% note from customer Payton Summers as payment on account. Compute the amount due at maturity for the note. (Use 360 days a year.)
What is the value of a share of stock : Naggpawh fabrics has issued a 30 year par value bond that is callable in 5 years. If the coupon rate is 5.5% payable semi-annually, what is this bond’s yield to call if the yield to maturity is 8% and the call premium is one year’s interest (55 dolla..
Bond pays interest semiannually : ElVonn, Inc., a decorative firsm issued a $1,000 bond with a coupon rate of 8 percent and 20 years to maturity five years ago. If this bond pays interest semiannually, what is the value of this bond (today) to an investor who requires an 8 percent ra..
Normal it reporting channels : What is the role of an internal IT audit group in an organization? Why is having such a group important for an organization and why should it report outside the normal IT reporting channels?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Suppose three fair dice are rolled at the same time a what

suppose three fair dice are rolled at the same time.a what is the probability that at least one number will be less

  Interpret the estimation of confidence interval proportion

A market survey was conducted to estimate the proportion of homemakers who would recognize the brand name of a cleanser based on the shape and color of the container. Of the 1,4000 homemakers sampled, 420 were able to identify the brand by name.

  The next 2 questions refer to the following scenario

the next 2 questions refer to the following scenario. consider an experiment of flipping a fair coin 50 times. assign a

  The cooper auto repair center has just received a shipment

the cooper auto repair center has just received a shipment of 1000 spark plugs from a supplier. in past shipments the

  Determine the median monthly sales

Determine the mean monthly sales, rounded to the nearest whole thousand - Determine the median monthly sales?

  Explaining independent variable-covariate and levels

Explain the independent variable, covariate, and levels (groups) of eah. Also, explain the dependent variable and its associated measurement scale and expected outcome.

  Random variable having a lognormal distribution

The length of time for one individual to be served at a cafeteria is a random variable having a lognormal distribution with a mean of 10 minutes and standard deviation of 2 minutes.

  What are the upper and lower control limits

When using past data, I have found that the proportion of items rejected by quality control personnel is about 3%. We normally make 5000 items per day. For a p chart, what are the upper and lower control limits?

  Lily estimates that her time to fall asleep each night is

lily estimates that her time to fall asleep each night is approximately exponentially distributed. it takes her an

  Critical thinking lurking variables over the past 50 years

critical thinking lurking variables over the past 50 years there has been a strong negative correlation between average

  What percentage of variation in scores on second round

What percentage of the variation in their scores on the second round can be explained by their scores on the first round?

  Methods producing the same mean

Use an alpha level of .01 and test the hypothesis that the two methods are producing the same mean.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd