Did high gas prices keep Americans from hitting the road this past summer? In a nationwide survey of adults, one variable measured was how many days vacationers spent driving on the road on their longest trip. Consider the following (partial) probability distribution for the random variable X= the number of days for the longest car trip. a) Suppose the probability of 7 days is twice as likely as the probability of 8 days. What are the two missing probabilities to complete the distribution for X?

The average time spent by a car salesman each weekend is normally distributed with a mean of 12.5 hr and a SD = 3 hr   What is the 2-decimal % probability that an individual will work less than 11 hr?     Part 2 of 3:     What is the 2-decimal % probability that a worker will work more than 9 hours?     Part 3 of 3:     What is the 2-decimal % probability that the mean of a sample of 33 workers will be below 14?

Say someone has made a 4-sided die, and states the following probabilities of getting a side (1,2,3, or 4). In each part, state whether a proper probability distribution was used. Why or why not. a. P(1) = 0.25, P(2) = −0.10, P(3) = 0.35, P(4) = 0.25 b. P(1) = 0.25, P(2) = 0.25, P(3) = 0.25, P(4) = 0.25 c. P(1) = 0.25, P(2) = 0.10, P(3) = 0.35, P(4) = 0.25

3. A quality engineer exams a batch of manufactured parts. Each part has a probability of 0.9 to pass the exam and 0.1 to fail the exam. (a) What is the probability of only 1 part out of 5 parts passing the exam? (b) What is the probability distribution of n parts out of 5 parts passing the exam? Please write down the pmf and cdf of the distribution. (c) What is the average number of passing parts out of every 10 parts?

The 2010 census shows that 6% of the American population are at least 75 years of age. To test a random digit dialing device, you use the device to call randomly chosen residential telephones in your county. Of the 150 members of the households contacted, 4% are 75 years or older. Assume that your county's population is similar to the American population in age distribution. What is the probability that a random sample of 150 respondents would contain less than 4% of individuals at least 75 years of age?

A researcher is interested in conducting a mail survey. He finds out that there is a 40% response rate to such surveys. If a survey is mailed to 5 people, what is the probability that exactly one responds?   -Binomial Distribution

A survey indicates that 60% of residents in a neighborhood prefer to shop locally. If 12 residents are randomly selected, what is the probability that exactly half of them prefer to shop locally? A fast-food restaurant gets an average of 3 orders per minute during the lunch rush. What is the probability that they will get exactly 5 orders in a particular minute? A bookstore experiences a mean rate of 2 customers arriving per hour. What is the probability that no customers arrive in a two-hour period?

A distribution of the probability of race and/or ethnicity of the inmates on Ohio’s death row is: African American: 0.42, Caucasian: 0.43, Native American: 0.01, Asian: 0.01   Assuming no other ethnicity group is represented, what is the probability of a death row inmate being Latino? What is the probability that a death row inmate is not an African American? What is the probability that a death row inmate is not a Caucasian?

Suppose you are playing a game and you get to roll 40 six-sided dice on your next turn. If you get a total of 160 or more from the 40 dice, you will win the game. Using sampling distributions, what is the probability that you will get a total of 160 or more with the 40 dice? Some useful things to know: When one six-sided die is rolled, the die roll (or number of spots showing) has a mean of 3.5 and a standard deviation of approximately 1.71.

Every year, the vetrinary hospital at a major research university treats a number of horses that have stones called enteroliths in their guts. AS sample of 20 years shows that on average about 2% of horses presenting at the veterinary hospital are treated for enteroliths. Some breeds of horses seem more prone to developing enteroliths than others. Below is a table with the distribution of enteroliths among the breeds. breed Fijian Thoroughbred Morgan Quarter Horse probability 0.4 0.2 0.3 ? The probability that a horse arriving at the veterinary hospital is not a Fijian, Thoroughbred, or a Quarter horse is?