Identify the problem involving a binomial experiment. a)arlos plays soccer and h
ID: 3061280 • Letter: I
Question
Identify the problem involving a binomial experiment.
a)arlos plays soccer and has a 25% chance of scoring a goal on one of his shots. However, Carlos scores in streaks, so the probability of him scoring a goal on the shot immediately following a score is 50%. He takes 10 shots. What is the probability he scores on at least 3 of them? Of the 10 shots, what is the expected number of goals Carlos will score?
b)Brin has graded 40 exams, 33 of which received passing grades. Suppose he reviews a random selection of 10 exams. How many should he expect to have passing grades? How many should he expect to have failing grades? What is the probability that at least 5 of the exams have failing grades? What is the probability that 7 of the exams have passing grades?
c)celia has 16 library books at home, 5 of which are due today. As she is in a rush to get out of the house, she doesn't have time to examine the books to find the 5 that are due (and can't carry all 16). Instead, she randomly grabs 6 of them in hopes of getting at least 2 of the ones that are due. What is the probability she will actually grab at least 2 of the ones that are due?
d)the cal weather forecaster predicts that there is a 30% chance of rain on each day next week. Assuming his prediction is accurate, what is the probability it will rain on at least 2 of the days next week
Explanation / Answer
a) Not a binomial experiment because one event is dependent on the previous event.
b) Not a binomial experiment because the probability of success will not remain the same for all trials
c) Not a binomial experiment because the probability of success will not remain the same for all trials
d) Binomial experiment (all events are independent, probability of success remains the same for all events and the number of trials are also fixed)