According to a census, the number of household size in a certain city was represented by a random variable X. Given the probability distribution for discrete random variable X below, find the probability that the number of household size is between 3 and 6.
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According to a census, the number of household size in a certain city was represented by a random
variable X. Given the
that the number of household size is between 3 and 6.
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- A random variable which can take any value in an interval is called a a. continuous random variable. O b. discrete random variable. O c. statistic. O d. outcome.A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.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 step
- Is the following random variable discrete or continuous? Let X represent the number of books in a random professor's office.Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The hair color of adults in the United States c. The number of light bulbs that burn out in the next year in a room with 14 bulbs d. The weight of a hamburger e. The square footage of a pool f.The amount of rainfall in a country in a year
- b. If 26 different women are randomly selected, find the probability that their mean weight is between150 lb and 221 lb.The probability is approximately enter your response here. (Round to four decimal places as needed.)Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)The acceptable level for insect filth in a certain food item is 2 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 40 ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per ten-gram portion. What is the probability a simple random sample of 40 ten-gram portions of the food item results in a mean of at least 2.3 P(x≥2.3)= (Round to four decimal places as needed.)
- Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a poolThe mean height of women in a country (ages 20−29) is 63.8 inches. A random sample of 55 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.61.A continuous random variable is normally distributed. The probability that a value in the distribution is less than 135 is 0.3454. Find the probability that a value in the distribution is greater than 135
