Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=9 trials, each with probability of success (correct) given by p=0.25. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than . P(X<4)=nothing (Round to four decimal places as needed

Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=9 trials, each with probability of success (correct) given by p=0.25. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than . P(X<4)=nothing (Round to four decimal places as needed

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

The probability of being in a car accident when driving more than 10 miles over the speed limit in a residential neighborhood is .05. Of the next 893 cars that pass through a particular neighborhood, what are the first and third quartiles for the number of car accidents in this neighborhood? (Round standard deviation and your final answers to 2 decimal places.) Q1 Q3
For a standardized psychology examination intended for psychology majors, the historical a data show that scores have a mean of 520 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 524. What is the probability that a sample of 35 exams will have a mean score of 524 or more if theexam scores follow the sane distribution as in the past? Carry computations to 4 decimal places, round your answer to 3.
What would be the correct way of doing this?
Assume that random guesses are made for eigth multiple choice questions on an SAT test, so that there are n=8 trials, each with probability of success (correct) given by p=0.6. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. P(X < 4) = Round to four decimal places
The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighs. Include formula and show working pleasei. Less than 153g ii. Between 150 g and 158 g
The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(Correct,Correct) b. Find the probability that a randomly selected person with a kidney stone will take longer than 11 days to pass it. c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
Assume that females have pulse rates that are normally distributed with a mean of 76.0 beats per minute and a standard deviation of e- 12.5 beats per minute. Complete parts (e) through (c) below a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute The probability is 5048 (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.)
The manager of a grocery store has selected a random sample of 100 customers. The average length of time these 100 customers to check out was 30 minutes. It is known that the mandand deviation of the checkest time is 1 minute With a 90 probability, the sample mean will provide a margin of error of 1645 10 196 1.96
A survey was carried out involving a sample of 73 patients, among 15and 20 years old, from a certain hospital. Each of these patients underwent a series of clinical examinations, including your heart rate. Healthy people in this age group they beat between 60 and 90 times per minute. Knowing that the sample mean and the population standard deviation are 87 and 20, respectively, calculate the probability the mean of the patients in the sample to be within the heart rate range?
Four-year-olds in China average 3 unsupervised hours per day. Most of the unsupervised children live in rural areas, considered safe. Suppose that the amount of unsupervised time is normally distributed with standard deviation 0.5 . A Chinese 4-year-old is randomly selected from a rural area. We are interested in the amount of time the child spends alone per day. In each appropriate box you are to enter either a rational number in "p/q" format or a decimal value accurate to the nearest 0.01 a. (3%) In words, the random variable X in which we are interested is defined by X = (pick one) b. (3%) Find the probability that the child spends less than one hour per day unsupervised. P(X 10) = d. (3%) The 70th percentile of the distribution of unsupervised time is given by P(X < = 0.70 .
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…