Question

A student studying for a vocabulary test knows the meanings of 14 words from a list...

A student studying for a vocabulary test knows the meanings of 14 words from a list of 22 words. If the test contains 10 words from the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)

Homework Answers

Answer #1

The probability that the students know the word = 14/22 =0.636363636

Let X be the number of words out of 10 that the student knows. Then

We need to find

The probability we are looking for is

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

Know the answer?
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
Similar Questions
The probability that a student passes the first Biostats test without studying is 0.25. If 10...
The probability that a student passes the first Biostats test without studying is 0.25. If 10 students didn’t study for the test, what is the probability that at least 1 of them passes? The probability that a student passes the first Biostats test without studying is 0.25. If 10 students didn’t study for the test, what is the probability that at most 1 of them passes? Please solve using the binomial distribution
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired...
#46 In a survey of 2000 adults 50 years and older of whom 20% were retired and 80% were pre-retired, the following question was asked: Do you expect your income needs to vary from year to year in retirement? Of those who were retired, 23% answered no, and 77% answered yes. Of those who were pre-retired, 28% answered no, and 72% answered yes. If a respondent in the survey was selected at random and had answered yes to the question,...
In a multiple-choice test, either a student knows the answer or guesses. Let 2/3 be the...
In a multiple-choice test, either a student knows the answer or guesses. Let 2/3 be the probability that a student knows the answer, if he takes a guess, the answer will be correct with the probability of 1/4 since there are 4 multiple-choice alternatives. Given that a question is answered correctly, what is the probability that he knows the answer. A 1/3 B 4/9 C2/3 D 8/9
Suppose that from past data a professor knows that the test score of a typical student...
Suppose that from past data a professor knows that the test score of a typical student taking their final examination is a normal random variable with mean 73 and standard deviation 10. (a) If 5 students are selected at random, what is the probability that their sample average grade will be within 3 of 73? (b) What is the minimum number of students that need to take the exami- nation to ensure, with probability at least 0.95, that the class...
From experience, an airline knows that only 70% of the passengers booked for a certain flight...
From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If 7 passengers are randomly selected, find the probability that at least 5 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.)
A test consists of 10 true and false questions. To pass the test, a student must...
A test consists of 10 true and false questions. To pass the test, a student must answer at least seven questions correctly. If the student guesses each question, what is the probability (to four decimal places) that the student passes the test? : Answer. What is the mean and standard deviation of the number of correct answers? (results to two decimal places) Media: Answer
A test consists of 10 true and false questions. To pass the test, a student must...
A test consists of 10 true and false questions. To pass the test, a student must answer at least eight questions correctly. If the student guesses each question, what is the probability (to four decimal places) that the student passes the test? :. What is the mean and standard deviation of the number of correct answers? (results to two decimal places) Media: Standard deviation:
A test was given to a group of students. The grades and gender are summarized below...
A test was given to a group of students. The grades and gender are summarized below A B C Male 8 11 6 Female 5 17 18 A) If one student is chosen at random from those who took the test, find the probability that the student got a 'A' given they are female.   Round your answer to three decimal places.   B) If one student is chosen at random from those who took the test, find the probability that the...
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer....
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 40% of the questions correct. (Round your answer to three decimal places.)
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer....
A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 50% of the questions correct. (Round your answer to three decimal places.)