Please help with the following problem. For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.) To the right of 2.120. (Use 3 decimals.) __________ b.) To the left of 1.337. (Use 2 decimals.) __________ c.) To the left of -1.746. (Use 2 decimals.) __________ d.
If two dice are thrown, what is the probability that the first die shows a 4 or that the total on the two dice is 8? So far in calculations: Event A = 4/36 Event B = 5/36 (4/36 + 5/36) - 1/36 = 8/36 or 2/9 which is not the correct answer.
A drug company believes that the annual demand for a drug will follow a normal random variable with a mean of 900 pounds and a standard deviation of 60 pounds. If the company produces 1000 pounds of the drug, what is the chance (rounded to the nearest hundredth) that it will run out of the drug? Assume that the only way to meet
Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who test positive for the disease has a 99% chance of actually having the disease, while a person who test negative for the disease has a 99% chance of not having the disease. If a person tests positive fo
A roulette wheel contains the integers 1 through 36, 0, 00. Suppose that you spin the wheel 6 times and that each time you bet on a single number. What is the probability (rounded to nearest 100th) that you win on at least one bet? Possible answers: 0.09, 0.11, 0.13, 0.15, none of the above.
A batch of 100 Barbie dolls contains four (4) defective dolls. What is the probability that a sample of three (3) dolls from this batch will contain: a) No defective dolls. b) All defective dolls. c) At least one defective dolls. d) At least one non-defective doll.
Health Insurance (Proportion of Population) Yes No Age 18 to 34 750 170 35 and older 950 130 a. Develop a joint probability table for these data and use the table to answer the remaining questions. b. What do the mar
Reggie Miller of the Indiana Pacers is the National Basketball Association's best career free throw shooter, making 89% of his shots. Assume that late in a basketball game, Reggie Miller is fouled and is awarded two shots. a. What is the probability that he will make both shots? b. What is the probability that he will make a
When sampling is done for the proportion of defective items in a large shipment, where the population proportion is 0.18 and the sample size is 200, what is the probability that the sample proportion will be at least 0.20?
The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age. Determine the following using the table: a. To what age may a female of age 60 expect
For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05? a) Is it "significant" to get a 12 when a pair of dice is rolled? b) Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. Is it "significant" for a school bu
If a basket contains 14 eggs, 5 of which are cracked. If we randomly select 6 of the eggs for hard boiling, what is the probabiliy of the following? a.) All of the cracked eggs are selected b.) None of the cracked eggs are selected. c.) Two of the cracked eggs are selected.
1.) If the population is normally distributed then the sample mean is also normally distributed even for small sample size. True or false? 2.) In applying the Rule of Addition in Probability, the important consideration is whether they are mutually exclusive or not. True or false?
1.) An estimator is called consistent if its variance and standard deviations consistently remain the same regardless of changes in the sample size. True or false? 2.) When applying the rule of Addition, an important consideration is whether the events are Independent or Dependent. True or false?
The 300 employees of a local university have been classified according to gender and job type: Job Male Female Faculty 110 10 Salaried Staff 35 45 Hourly Staff 55 45 Are gender and type of job independent? Explain with probabilities (you have to show how you got the answer using probabilities and the rule associat
The lifetime of a disk drive head is normally distributed with a population mean of 1000 hours and a standard deviation of 120 hours. Determine the probability that the average lifetime for 16 disk drives will exceed 940 hours.
Container 1 has 10 items, 3 of which are defective. Container 2 has 6 items, 2 of which are defective. If one item is drawn independently from each container: Find the probability distribution for X defined as the number of defective items drawn (Hint: You have to find P(X=0), P(X=1) and P(X=2). You may have to use both multi
Suppose that 40 percent of the voters in a particular region support a candidate. Find the probability that a sample of 900 voters would yield a sample proportion in favor of the candidate within 3 percentage points of the actual proportion.
Question: The Penguin Company employs 200 men and 50 women. Of the male employees, 140 work in the plant, 20 are in the office, and 40 are field salesmen. The female employees are distributed as follows: 10 to the plant, 25 to the office, and 15 to the sales. If the CEO, Stephanie, randomly selects an employee to tour a factory
Thirty percent of the time, a machine puts 50 white, 25 red, and 25 green jelly beans in a bag. The rest of the time, the same machine puts 30 white, 30 red, and 40 green jelly beans in a bag, The probability that a randomly chosen jelly bean from a randomly chosen bag is green is 0.28. Is this True or False?
Find a simple algebraic relationship between the negative binomial probability P(x) = ((x-1)!/(n-1)!(x-n))*(P^n)(1-p)^x-n for x = n, n + 1, .. and the binomial probability for the probability of n successes in x trials.
Ten percent of the items produced by a machine are defective. Out of 15 items chosen at random, a. what is the probability that exactly 3 items will be defective? b. what is the probability that less than 3 items will be defective? c. what is the probability that exactly 11 items will be non-defective?
I am having issues resolving the following and need extra help please: 1. If the probability that it will rain tomorrow is 0.26, what is the probability that it will not rain tomorrow 2. Find the probability of getting a number greater than 4 when a die is rolled one time 3. An apartment building has the following apartments
I am having issues resolving some of my homework and need an extra help: 1. A jar contains only red marbles and green marbles. If a marble is selected at random from the jar, the probability that a red marble will be selected is 2/3. If there are 18 green marbles in the jar, how many red marbles are there in the jar 2. Find th
Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Enumerate the sample space and then find the probabil
(5.40) M&Ms are blended in a ratio of 13 percent brown, 14 percent yellow, 13 percent red, 24 percent blue, 20 percent orange, and 16 percent green. Suppose you choose a sample of two M&Ms at random from a large bag. What is the probability that both are brown? What is the probability that both are blue? What is the probabi
(5.30) At Oxnard University, a student ID consists of two letters (26 possibilities) followed by four digits (10 possibilities). (a) How many unique student IDs can be created? (b) Would one letter followed by three digits suffice for a university with 40,000 students? (c) Why is extra capacity in student IDs a good idea?
1. CNP Bank Card Before banks issue a credit card, they usually rate or score the customer in terms of his or her projected probability of being a profitable customer. A typical scoring table appears below. See attachment fot table The score is the sum of the points on the six items. For example, Sushi Brown is under 25 y
In a study, serum cholesterol levels were measured for a large number of healthy males. The population was then followed for 16 years. Afterwards the men were divided into two groups: those who had developed coronary heart disease and those who had not. The distributions of the initial serum cholesterol levels for each group w
Estimates for the prevalence of Alzheimer's disease provided by an observational study are listed below: Prevalence of Alzheimer's disease (cases per 100 individuals) Age-group Males Females 65-69 1.3 0.5 70-74 3.3 2.1 75-79 4.9 3.8 80-84 7.5 8.2