A student randomly guesses on multiple choice exam (and hence independence between each question can beassumed). There are four questions, each question has five options. Let X be the random variable for the number ofcorrect guesses.Write the distribution for X.>. Determine the probability of answering exactly 3 questions correctly.Determine the probability of answering at most 2 questions correctly.. Determine the expected number of correct guesses (long run average of the correct guesses), and thevariance of number of correct guesses.1234

Answer:- There are total n=4 questions, each question has five options. Therefore, p= 1/5 = 0.20…

Answered: A student randomly guesses on multiple…

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...

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2.) Suppose 1000 coins are tossed. Use the normal curve approximation to the binomial distribution to find the probability of getting the following result. Exactly 510 Use the table of areas under the standard normal curve. Clickv here to view page 1. Click here to view page 2. Click here to view page 3. The probability of getting exactly 510 head is (Round to four places as needed)
Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 75 and 78 mph. d. 82% of all cars travel at least how fast on the freeway?
Cal Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume that 30 students registered for the course. Let X be the number of students who withdraw. What distribution does X follow?
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has noeffect, so the probability of a girl is 0.5. Assume that the groups consist of 32 couples. Complete parts (a) through (c) below. Find the mean and the standard deviation for the numbers of girls in groups of 32 births.
Find the maximum and minimum value. Based on the result, is 1 girl in 10 births a significantly low number of girls?
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 119 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 121 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 121 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 121 cm. Probability =
4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 66 minutes and a standard devilation of 18 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N 66 18 b. Find the probability that a randomly selected person at the hot springs stays longer then 83 minutes. 0.1736 C. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? 92.64 minutes. d. Find the Inter Quartile Range (IQR) time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes Submit Question
do a , b, c
uppose that the speed at which cars go on the freeway is normally distributed with mean 71 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.b. If one car is randomly chosen, find the probability that it is traveling more than 73 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 70 and 76 mph. d. 72% of all cars travel at least how fast on the freeway? mph. PLEASE ANSWE THE 3 SUBS B, C, D
Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X - N( 79 5 or or b. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 86 mph. Round to 4 decimal places.
The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)

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