In a school, the probability of a student wearing spectacles is found to be 0.75. The principal selects a random group of 12 students. Calculate (a) the probability that all 12 students wear spectacles (b) the probability that 10 or more students wear spectacles (c) the conditional probability that all 12 students wear spectacles, given that at least 10 students wear spectacles

In a school, the probability of a student wearing spectacles is found to be 0.75. The principal selects a random group of 12 students. Calculate (a) the probability that all 12 students wear spectacles (b) the probability that 10 or more students wear spectacles (c) the conditional probability that all 12 students wear spectacles, given that at least 10 students wear spectacles

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes
Assume that when adults with smartphones are randomly selected, 59% use them in meetings or classes. If 7 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes. The probability is?
Assume that when adults with smartphones are randomly selected, 43% use them in meetings or classes. If 14 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. The probability is?
A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that three females are selected. Probability of first student being a female = (as a fraction) Probability of second student being a female = (as a fraction) Probability of third student being a female = (as a fraction) Probability that three females are selected = (as a decimal rounded to the nearest thousandth)
According to an airline, flights on a certain route are on time 75% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded. N=25 P=0.75 (c) Find and interpret the probability that exactly 14 flights are on time. (d) Find and interpret the probability that fewer than 14 flights are on time. (e) Find and interpret the probability that at least 14 flights are on time. (f) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time. (c) The probability that exactly 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected that about ____ will result in exactly 14 flights being on time. (Round to nearest whole number as needed) (d) The probability that fewer than 14 flights are on time is ____? (Round to four decimal places as needed.) Interpret the probability. In 100 trials of this experiment, it is expected…
Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes. If 11 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes. The probability is..
Assume that when adults with smartphones are randomly selected , 61% use them in meetings or classes. If 5 adult smartphones users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Assume that when adults with smartphones are randomly selected, 56% use them in meetings or classes. If 77 adult smartphone users are randomly selected, find the probability that exactly 33 of them use their smartphones in meetings or classes. The probability is?
Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes
The Smith family was one of the first to come to the U.S. They had 5 children. Assuming that the probability of a child being a girl is .5, find the probability that the Smith family had: at least 2 girls? at most 2 girls?