Question

In a populous city 15% people are bilingual (B). You are in charge of randomly selecting...

In a populous city 15% people are bilingual (B). You are in charge of randomly selecting a group of 25 people from the population. You are interested in the number of bilingual members that might get selected.

(i) What distribution applies here and based on what assumption? Name it and define the probability mass function applicable, giving the values of the parameters. (10 pts)

(ii) What is the probability that there will be exactly 5 bilinguals selected? Write the expression and evaluate it. (8 pts.)

(iii) What is the probability that at most 10 are bilinguals? Use Excel to answer this. (8 pts.)

(iv) What is the mean and standard deviation of the number of the bilingual members you might select? Interpret the mean. (7 pts.)

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

Homework Answers

Answer #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 community of 35 members at a health resort, there are 12 veterans; the management...
In a community of 35 members at a health resort, there are 12 veterans; the management is deciding on randomly selecting the first group of 10 members who will be sent on a river cruise. (i) What is the total number of distinct groups the management can select with exactly THREE veterans? (ii) What is the chance of selecting such a group? Name the distribution that applies and write the expression to evaluate (substituting the values) and calculate anyway you...
2. Suppose in a city of 10 million people, fifty percent have been infected with the...
2. Suppose in a city of 10 million people, fifty percent have been infected with the new corona virus. (i) If a sample of 204 people is selected without replacement, what is the probability that at least 105 will be infected? Give an exact expression for your answer. Do not simplify. (ii) Repeat Part (i) except assume that the sampling is with replacement. Do not simplify. (iii) Suppose that you test the 204 people one-by-one with replacement. Consider the event...
20% of the population of a city wears glasses. If you randomly stop people from the...
20% of the population of a city wears glasses. If you randomly stop people from the city: 1) The PMF is P(X=x) = 2) What is the probability that it takes exactly 10 tries to get a person who wears glasses 3) What is the probability that it takes at least 10 tries to get a person who wears glasses
You are randomly approaching people to take part in a survey. You originally assume that the...
You are randomly approaching people to take part in a survey. You originally assume that the probability that a randomly approached person agrees to take your survey is 4%. Of the first 10 people you approach, 5 agree to take your survey. What can you infer about your original assumption? Even though 5 of the first 10 people agreed to take the survey, the sample is too small to draw any conclusions about your original assumption. The original assumption will...
2. Two ride-sharing companies, A and B, provide service for a certain city. A random sample...
2. Two ride-sharing companies, A and B, provide service for a certain city. A random sample of 52 trips made by Company A and a random sample of 52 trips made by Company B were selected, and the number of miles traveled for each trip was recorded. The difference between the sample means for the two companies (A−B) was used to construct the 95 percent confidence interval (1.86,2.15). Which of the following is a correct interpretation of the interval? A....
1. A city has just added 105 new female recruits to its police force. The city...
1. A city has just added 105 new female recruits to its police force. The city will provide a pension to each new hire who remains with the force until retirement. In addition, if the new hire is married at the time of her retirement, a second pension will be provided for her husband. A consulting actuary makes the following assumptions: (i) Each new recruit has a 0.5 probability of remaining with the police force until retirement. (ii) Given that...
. In an experiment comparing two weight loss plans, 100 subjects were randomly assigned to two...
. In an experiment comparing two weight loss plans, 100 subjects were randomly assigned to two groups, A and B. The mean weight loss in group A was 10 pounds with a standard deviation of 8 pounds and the mean weight loss in group B was 7 pounds with a standard deviation of 11 pounds. The distributions of weight loss are approximately normal.             a. What is the probability that a randomly selected person from group A lost weight?            ...
1. The following probability distribution represents the number of people living in a Household (X), and...
1. The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable. Show Your Calculations for the Mean.     X      1         2        3          4        5                P(X)    .33      .29      .27        .07       .04      2. Use the binomial formula to compute the probability of a student getting 8 correct answers on a 10...
For 2 independent exclusive events A and B, P(A) = 0.2 and P(not B) = 0.7....
For 2 independent exclusive events A and B, P(A) = 0.2 and P(not B) = 0.7. 1) What is P(A and B) ? 2) What is P(A or B) ? Assume just for this question that P(A and B) = 0. 3) What is P(not A and B) ? 4) What is P(A and not B) ? 5) What is P(not A and not B) ? 6)Ifyouhavecardsnumbered 1 2 3 4 5 thathavetobeputin5places ___________ ___________ ___________ ___________ ____________ and an...
A game is played in which you spin a 10-segment spinner as shown above. All segments...
A game is played in which you spin a 10-segment spinner as shown above. All segments are the same size. Find the probabilities below. (a) Find the probability that you spin 4: P(spin 4) = (round to one decimal place) (b) Find the probability that you spin either 9 or 10: P(spin 9 or 10) = (round to one decimal place) (c) X is a binomial random variable. Suppose we define spinning 9 or 10 as "success", and we decide...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT