Directions: If the amount of milk in a gallon container is a μ normal random variable, with 128.2 ounces and o = 0.2 ounces, find the probability that a random container of milk contains less than 128.1 ounces. Probability = =
Q: Defects occur at random in planks of wood with an average of 0.5 per 10 cm length. Office building…
A:
Q: e. Find the standard deviation of the random variable X.
A: A random Sample of 200 residents; n=200 p=0.254
Q: Table 4 is the probability table for a random variable X. Find E(X), Var(X), and the standard…
A:
Q: Edit question Assume that 28% of randomly selected adults have high cholesterol (with a level of…
A: No of randomly selected = 5 Probability that a randomly selected adults have high cholesterol = 0.28…
Q: A plastic injection molding machine operates 320 days a year. It is the bottleneck workstation in a…
A: It is required to determine the expected cost of a breakdown per day, and the amount saved by the…
Q: The power of a test is 0.873. What is the probability of a Type II error?
A: Power of a test is the probability of correctly rejecting H0 that is the null hypothesis and Type 2…
Q: A random sample of two Americans is selected. The probability that neither will have type O blood is
A: Solution-: We have following table: We find the the probability that neither will have type O blood…
Q: Be A and B independent random variables with variances o2 and o3, respectively. Being D = A + B and…
A:
Q: The probability that an item will survive a 1000-hour mission is 0.4. If the item is oper- ating 800…
A:
Q: If z is a standard normal variable, find the probability when z is less than 1.98
A: Given that, Z score = 1.98 Left tailed
Q: (b) From the distribution you found in part (a), what can you say about the distribution of X? The…
A: Given: X 0 1 2 3 4 5 6 7 P(X=x) 0.2791 0.3907 0.2344 0.0781 0.0156 0.0019 0.0001 0.00000357
Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…
A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4% compute the probability…
Q: The mean percent of childhood asthma prevalence in 43 cities is 2.26%. A random sample of 30 of…
A: Given that. X~N( μ , ?) μ=2.26 , ?=1.20 Z-score =( x - μ )/?
Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…
A: Given: Population mean oxygen demand μ=9.2mg/L 95% confidence interval = 6.0 mg/L, 12.4 mg/L x is…
Q: What is the probability that a normally distributed random variable X is greater than 85 if ux = 75…
A: Given that, Mean = 75 Standard deviation = 4
Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…
A: From the provided information, Mean (µ) = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5…
Q: The mean percent of childhood asthma in 43 cities is 2.31 %. A random sample of 30 of these cities…
A: Sample size(n)=30mean()=2.31%Standard deviation()=1.25%
Q: If z is a standard normal variable, find the probability. P>z0.58 0.2327 0.2483…
A: Given information- We have given the standard normal distribution. We have to find the probability-…
Q: Bricks manufactured in a kiln are weighed every day to check them against the design weight. The…
A: Let us denote X=the number of bricks weighing less than the design weight n=sample size= 12…
Q: A pair of 7 sided dice are tossed. What is the probability that at least one of the dice has a value…
A:
Q: What is the probability that a survivor was a female or in the 2nd class?
A: According to the provided information, Total survival person = 450 Total Female person = 308 Total…
Q: 1. Each sample of water has a 10% chance of containing a particular organic pollutant. Assume that…
A: Given: n=18 and p=0.1 Use binomial probability asPX=x=Cxnpx1-pn-x ;x≤n
Q: he lQ scores of a large group of students are approximately normally distributed. What is the…
A: Given Normal Distribution
Q: An experiment consists of rolling a weighted die. The probability of rolling each number is:…
A: Given information: The probability of rolling each number is: P[1] = 0.15, P[2] = 0.2, P[3] = 0.15,…
Q: Hospitals typically require backup generators to provide electricity in the event of a power outage.…
A: Given: The probability that an emergency backup generator failed is p=0.26. The probability that and…
Q: Between the hours of 2 and 4 p.m. the average number of phone calls per minute coming into the…
A:
Q: Tamir is a pediatrics nurse who conducts the first neonatal exam on newborn patients. He makes note…
A: Given data is Slow heart rate (<100bpm) Fast Heart rate (>100bpm) Total brown eyes…
Q: Which of the following is a discrete random variable?* Average amount of electricity consumed.…
A:
Q: Assume that 35.4% of people have sleepwalked. Assume that in a random sample of 1490 adults, 565…
A: Given p=0.334 n=1490
Q: A random variable X has the following probability distribution : 4 5 0-1 0:2 0.4 02
A:
Q: Nlustration 16.21. There are three plants in a factory producing the same product independently.…
A:
Q: is a standard normal variable, find the probability. P>z0.68 0.2177 0.3156 0.2483…
A: X~N( 0 , 1 ) μ=0 , ?=1 (for standard normal distribution) Z-score =( x - μ )/?
Q: . 20 people will arrive at a 15-minute period. b. A maximum of 175 people will arrive at a 2-hour…
A: During peak hours, the arrival of customers at a fast food restaurant is random with an average rate…
Q: L An elevator sign says that it can hold 30 people or 4800 lb. Suppose that the weight of a randomly…
A: The number of people is n=30 , the mean for the randomly selected variable is μ=150 lb and the…
Q: At a restaurant, the probability that a customer will order a nonalcohlic drink is .56. Find the…
A: From the provided information, The probability that a customer will order a nonalcoholic drink is…
Q: d. X is between -0.25 and 0.45
A: The standard normal distribution is a continuous probability distribution, derived from the pdf of…
Q: Hospitals typically require backup generators to provide electricity in the event of a power outage.…
A: Ans= For each emergency backup generator, there are only two possible outcomes. Either they work…
Q: Alex makes mistakes in a with an average of 1.2 mistakes per class. In a given class, what is the…
A: Given that Average =λ=1.2 Here we use poisson probability distribution. P(X=x) =e-λ*λx/x! X=…
Q: Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic…
A: Given information μ = 9.9 mg/L 95% of the data ranging from 7.3 mg/L to 12.5 mg/L As per empirical…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 6 images
- Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In nine traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 2 The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your response here. (Round to four decimal places as needed.) Part 3 The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is enter your…Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 42% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Complete parts (a) and (b) below. a. Find the probability that both generators fail during a power outage. (Round to four decimal places as needed.) b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital? Assume the hospital needs both generators to fail less than 1% of the time when needed. (Round to four decimal places as needed.) Is that probability high enough for the hospital? Select the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. No, because both generators fail about % of the time they are needed. Given the importance of the hospital's needs, the reliability should…
- If the amount of milk in a gallon container is a random variable,with = 128.2 ounces and =.2 ounce, find the probability that a random container of milk contains less than 128 ounces. Show wiekThe annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
- Draw a probability curve with your answerA tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
- The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by stepA test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773Let X be a B (10, 1/2) random variable. What is the probability that X = 5?
