Question

1. The Taipei City Council has 11 members: 6 males, 5 females. They wish to form...

1. The Taipei City Council has 11 members: 6 males, 5 females. They wish to form a committee of 5.

(a) (2 pts) How many ways can the city council form the committee?

(b) (12 pts) Complete the probability distribution below:

Number of Females x Probability of Number of Females P(x) 0 1 2 3 4 5 3

Number of females

x

Probability of Number of Females

P(x)

0
1
2
3
4
5

(c) (5 pts) Find the probability of having all females in the committee of the Taipei City Council. What can we conclude about the committee of the Taipei City Council of having all females? Explain why?

(d) (5 pts) Find the probability of having at least 3 females in the committee of the Taipei City Council.

(e) (7 pts) Find the probability of having at most 4 males in the committee of the Taipei City Council.

(f) (2 pts) Find μ for the number of females, round your answer to 3 decimals if possible.

(g) (2 pts) Find σ for the number of females, round your answer to 3 decimals if possible.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

There is a very low probability of having all females.

e)P(atmost 4 males)=P(Atleast 1female)=1-P(no female)=1-0.01299=0.98701

Add a comment
Know the answer?
Add Answer to:
1. The Taipei City Council has 11 members: 6 males, 5 females. They wish to form...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 16 board members: 12 females, and 4 males including...

    (1 point) Rework problem 22 from section 2.4 of your text, involving the assignment of tasks to student union board members. Assume that there are 16 board members: 12 females, and 4 males including Carl. There are 3 tasks to be assigned. Note that assigning the same people different tasks constitutes a different assignment. (1) Find the probability that both males and females are given a task. (2) Find the probability that Carl and at least one female are given...

  • A city council is deciding whether or not to spend additional money to reduce the amount...

    A city council is deciding whether or not to spend additional money to reduce the amount of traffic. The council decides that it will increase the transportation budget if the amount of waiting time for drivers exceeds 20 minutes. A sample of 32 main roads results in a mean waiting time of 2208 minutes with a standard deviation of 5.42 minutes. Conduct a hypothesis test at the T%evel of ignificance to determine whether or not the city should increase its...

  • Having trouble with these two problems 3. Suppose a Coed basketball team consists of 7 females...

    Having trouble with these two problems 3. Suppose a Coed basketball team consists of 7 females and 8 males. Suppose a starting line-up of five players is randomly selected (each possible starting line-up is equally likely). What is the exact probability that the chosen starting line-up contains at least one male? A bar is trying to get a feel for the number of drinks that a person will order. Let the random variable X denote the number of drinks a...

  • Assume 11 males audition, one of them being Winston, 5 females audition, one of them being...

    Assume 11 males audition, one of them being Winston, 5 females audition, one of them being Margaret, and 4 children audition. The casting director has 3 male roles available, 1 female role available, and 2 child roles available. How many different ways can these roles be filled if exactly one of Winston and Margaret gets a part? What is the probability (if the roles are filled at random) of both Winston and Margaret getting a part?

  • 1. Given that x has a Poisson distribution with μ=4​, what is the probability that x=6​?...

    1. Given that x has a Poisson distribution with μ=4​, what is the probability that x=6​? Round to four decimals. 2. Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find ​P(4​) when μ=7. Round to the nearest thousandth. 3. Given that x has a Poisson distribution with μ=0.4​, what is the probability that x=4​? Round to the nearest thousandth. 4. Describe the difference between the value of x in a binomial distribution and in...

  • X When conducting research on color blindness in males, a researcher forms random groups with five...

    X When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation If a probability distribution is not given, identify the requirements that are not satisfied 0 1 2 3 4 5 P(x) 0.657...

  • 1) Find the critical z-value(s) for a right tailed test with α = .02 . Assume...

    1) Find the critical z-value(s) for a right tailed test with α = .02 . Assume a normal population. (Round to the nearest hundredth. If more than one value is found, enter the smallest critical value.) 2) Find the critical t-value(s) for a two-tailed test with n = 12, α = .05 . Assume a normal population. (Round to the nearest thousandth. If more than one value is found, enter the smallest critical value.) 3) Find χ2R for a right-tail...

  • 1. X has a normal distribution with the given mean and standard deviation. Find the indicated...

    1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....

  • 4. Five males with a particular genetic disorder have onc child each. I need the second...

    4. Five males with a particular genetic disorder have onc child each. I need the second part answer nt/PlayerHomework.aspx?homeworkld-512478192&questionld-2&flushed false. MATH 2193 Internet Statisics Spring 2019 Homework: Section 5.2 Homework Score: 0 of 1 pt 5.2.7 Save 40119 (3complete) HW Score: 15.79%, 3 of 19pts Question Heip Five males with a particular genetic disorder have one child each The random variable x is the number of children among the five who inherit the genetic disorder. Determine whether the table describes...

  • 1.) In the previous question (the one about the multiple-choice quiz), the random variable X is...

    1.) In the previous question (the one about the multiple-choice quiz), the random variable X is binomial with parameters: n = 1/5, p = 15 n = 15, p = 1/2 n = 15, p = 1/5 n = 15, p = 0 2.) Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use technology to find the probability distribution given the probability p=0.164p=0.164 of success on a single trial. (Report answers accurate to 4...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT