1.      (4 points) A shipment of thirteen smartphones contains three with cracked screens. If sold in a random order, what is the probability that the first ten sold have undamaged screens?

2.      (4 points) Evaluate the following expressions (2 points each): 

1. ₄P₂

2. ₄C₂

3.      (8 points) When you toss a fair six-faced die two times many outcomes can happen:   

(a) (1 point) Determine the number of possible outcomes in the sample space. Explain your answer.

(b) (1 point) Calculate the probability that you get a number greater than 5 at the first toss. (Show work and write the answer in simplest fraction form)

 (c) (2 points) Calculate the probability that the sum of the two tosses is at least 7. (Show work and write the answer in simplest fraction form)

(d) (2 pts) Calculate the probability that the sum of the two tosses is at least 7, given that you get a number greater than 2 in the first toss. (Show work and write the answer in simplest fraction form)

(e) (2 points) If event A is “Getting a number greater than 4 in the first toss” and event B is “The sum of two tosses is at least 8”.  Are event A and event B independent?  Use statistical concept and mathematical expression to justify your answer.  

4.      (6 points) There are sixteen shirts in your closet, eight blue and eight green. You randomly select one to wear on Monday and then a different one on Tuesday.  You wear a blue shirt on Monday and a green shirt on Tuesday.  Determine whether the scenario involves independent or dependents event.  Then find the probability.

5.      (2 points) Justify tour answer for full credit. If  A and B are two disjoint events. If P(A) = 0.3, and P(B) = 0.4, then P(A AND B) is: 

(a) 0.7

(b) 0.12

(c) 0

(d) cannot be determined

6.      (2 points) A random variable X follows a continuous distribution, which is symmetric to 0. If , then which of the following statements are true? (There are more than one true statements). 

(a)

(b)

(c)

(d)

7.      (2 points) A is an event, and A^c is the complement of A. Which of the following statements are true? (There are more than one true statements).  Justify tour answer for full credit.

(a)

(b)

(c)

(d)

8.       (4 points) A group of 50 people are going to run a race.  The top three runners earn gold, silver and bronze medals.  Determine if this scenario is a permutation or a combination, then find the number of possibilities.

9.       (4 points) You are setting the combination on a four-digit lock.  You want to use the number 1234 but don´t care what order they are in.  Find the number of possibilities.

10.   (4 points) Men’s weights are normally distributed with mean 170 pounds and standard deviation 20 pounds.

(a) (2 pts) Find the probability that a randomly selected man has a weight between 140 and 190. (Show work and round the answer to 4 decimal places)

(b) (2 pts) What is the 80th percentile for men’s weight? (Show work and round the answer to 2 decimal places)

AccountingQueen

(3)

Status NEW Posted 22 Aug 2017 08:08 AM My Price 10.00

Hel-----------lo -----------Sir-----------/Ma-----------dam----------- T-----------han-----------k y-----------ou -----------for----------- us-----------ing----------- ou-----------r w-----------ebs-----------ite----------- an-----------d a-----------cqu-----------isi-----------tio-----------n o-----------f m-----------y p-----------ost-----------ed -----------sol-----------uti-----------on.----------- Pl-----------eas-----------e p-----------ing----------- me----------- on----------- ch-----------at -----------I a-----------m o-----------nli-----------ne -----------or -----------inb-----------ox -----------me -----------a m-----------ess-----------age----------- I -----------wil-----------l

Not Rated(0)

• Buy Answer