A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $23,000, a $100 gas card, or a $5 shopping card. To claim his or her prize, a prospective customer needed to present the flier at the dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,113, the chance of winning the gas card was 1 out of 31,113, and the chance of winning the shopping card was 31,111 out of 31,113. Complete parts (a) through (d). a. How many fliers do you think the automobile dealership sent out? Assume there is one car and one gas card available. fliers

Q: What is the probability that a first grade classroom of 20 students who are chosen randomly from the…

A: Given Information: Mean μ=100 Standard deviation σ=15 Sample size n=20

Q: If the richest person in the world walks into a room with the 98 poorest people in the world, then…

A: Given: Richest person in the world has entered the room with other 98 individuals in the world

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

Q: The mean serum cholesterol level for US adults was 204 with a standard deviation of 42.5. A simple…

A: Given, Mean cholesterol level is 204 and standard deviation 42.5, A random sample of size 112.

Q: Suppose you have a test with a mean of 66 and a standard deviation of 5. If you first increase…

A: Given Mean =66 Standard deviation=5

Q: When Noah goes bowling, his scores are normally distributed with a mean of 135 and a standard…

A: Let X be the Noah goes bowling, his scores are normally distributed  mean μ=135, standard deviations…

Q: what is the symbol for the first parameter of the distribution and whats the value?

A: Answer: - Actually we have p=0.40  and sample size n=100  , This is the binomial Distribution

Q: The scores on a test are normally distributed with an average (mean) of 72 and a standard  deviation…

A: As per our guidelines we are suppose to answer only three sub parts . Mean(μ)=72Standard…

Q: The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The…

A: Given,Population mean,  = 6.03Population standard deviation, σ = 0.24Sample size, n = 33Let X be a…

Q: Assuming you obtained a random sample of blood glucose levels from 32 individuals from a population…

A: Central Limit Theorem for mean:If a random sample of size n is taken from a population having mean µ…

Q: The weights of cans of Ocean brand tuna are supposed to have a net weight of 6 ounces. The…

A: Let x represent the weights of cans of ocean brand tuna follow normal distribution with means 5.99…

Q: A population has a mean of 75 and a standard deviation of 15 you randomly sample nine people from…

A: Given population have mean 75 and standard deviation 15. A sample of 9 people from the population is…

Q: ow that a random individual will fall between 107 and 103 .if the mean IQ is 100 the standard…

A: Consider a random variable X which represents IQ of the individual.    X follows normal distribution…

Q: The mean of small dogs is 4.1 and the standard deviation is .9, what is the probability of choosing…

A: The weight of the small dogs is the continuous data.Let X be the weights of the small dogs which…

Q: Students in a primary school are being tested to see how good their fine motor skills are.  The…

A: Given the standard dexterity test points, which are normally distributed with a population mean of…

Q: The standard error of an estimator is the standard deviation of the estimator. True False

A: The Standard Error of the estimator is the Standard deviation of the estimator.

Q: The critical value used in constructing a 95% confidence interval is ________.   Question 16…

A: It is given that  Sample mean = 6 Sample standard deviation = 2 Sample size = 8 Confidence interval…

Q: Suppose all items from an assembly line are independent and that the probability of any item being…

A:

Q: How can i compute the standard deviation

A:

Q: the mean IQ of tweleve year old boys in a school district is 118; the standard deviation is 18. if a…

A: Obtain the probability that the mean of the sample is greater than 120. The probability that the…

Q: ou are a teacher at a gifted school, and you feel that the newest class of students is even brighter…

A: From the provided information, Population mean (µ) = 127 Sample size (n) = 32 Sample mean (x̅) = 134…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!