Question

At some university 60% of students are men and 40% are women. In a random sample...

At some university 60% of students are men and 40% are women. In a random sample of 100 students what is the probability that more than half are women?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We need to calculate P(X>50)

Where X is the no. of women

Now X~Bin(100,0.4)

as 40% are women

Now calculating exact probability using Binomial distribution in Excel using the formula =1-BINOM.DIST(50,100,0.4,1)

=0.0168

Using normal approximation to Binomial distribution\

Now we need to calculate probability :

Probability is calculated using excel formula =NORM.DIST(2.14,0,1,1)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a classroom there are 100 students, of whom: 40 are men and 60 are women,...
In a classroom there are 100 students, of whom: 40 are men and 60 are women, 30 people wear glasses, and 15 are men and wear glasses. If we randomly select a student from that course: a. What is the probability that she is a woman and does not wear glasses? b. If we know that the selected student does not wear glasses, what is the probability that he is a man?
40 women and 60 men have been selected to complete a survey on political preferences. Suppose...
40 women and 60 men have been selected to complete a survey on political preferences. Suppose half of the women are Conservative and half of the men are Conservative. Suppose one individual is chosen randomly from the sample. What is the probability that it is anybody other than a Conservative man?
In a local university, 40% of the students live in the dormitories. A random sample of...
In a local university, 40% of the students live in the dormitories. A random sample of 80 students is selected for a particular study. What is the sampling distribution of What is the probability that the sample proportion is between 0.30 and 0.55(Hint: first draw the normal curve to identify the area)
50 percent of the students at a certain university live in university housing. What is the...
50 percent of the students at a certain university live in university housing. What is the probability that in a random sample of 100 students, between 40 and 60 live in university housing?
1. At a large block party, there are 50 men and 40 women. You want to...
1. At a large block party, there are 50 men and 40 women. You want to ask opinions about how to improve the next party. You choose at random five of the men and separately choose at random four of the women to interview. (a) What is the probability that any of the 50 men is in your random sample of five men to be interviewed? What is the probability that any of the 40 women is in your random...
A class is composed of 60% women and 40% men. It is known that 80% of...
A class is composed of 60% women and 40% men. It is known that 80% of the women in the class want to attend medical school while 50% of the men do. Answer the following questions: What is the probability that a randomly-selected student will want to go to medical school? What is the probability that a randomly-selected student will not want to go to medical school given that she is a woman? What is the probability that a randomly-selected...
1. In a large university, 10% of the students are marketing majors. A random sample of...
1. In a large university, 10% of the students are marketing majors. A random sample of 100 students is selected, and the proportion of those who are business majors is calculated. Assume the population is infinite. Compute the standard error of the proportion in the sample. 2. Compute the expected value of the sample proportion. 3. What is the probability that the sample contains more than 16 marketing majors?
In a large university, 20% of the students are male. If a random sample of twenty-two...
In a large university, 20% of the students are male. If a random sample of twenty-two students is selected. a. What is the probability that the sample contains exactly twelve male students? b. What is the probability that the sample will contain no male students? c. What is the probability that the sample will contain exactly twenty female students? d. What is the probability that the sample will contain more than nine male students? e. What is the probability that...
From a University population, random samples of 145 men and 237 women have been asked if...
From a University population, random samples of 145 men and 237 women have been asked if they have ever cheated in a college class. 8% of the men and 6% of the women said that they have. What is the appropriate test to assess the significance of this difference?
From a university population, random samples of 145 men and 237 women have been asked if...
From a university population, random samples of 145 men and 237 women have been asked if they have ever cheated in a college class. 8% of the men and 6% of the women said that they have. What is the appropriate test to assess the significance of this difference?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT