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Probability-and-statistics Questions
Probability-and-statistics Questions
A Random Telegraph Signal with rate λ > 0 is a random process X(t) (where for each t, X(t) ∈ {±1}) defined on [0,∞) with the following properties: X(0) = ±1 with probability 0.5 each, and X(t) switches between the two values ±1 at the points of arrival of
Consider the sinusoidal signal X(t) = sin(t + Θ), where Θ ∼ Uniform([−π, π]).
A soft-drink dispensing machine is said to be out of order if the variance of the contents exceeds 1.15 deciliters. If a random sample of 25 drinks from this machine has sample variance of 2.03 deciliters, does this indicate at the 0.05 level of significa
Persons having Reynaud’s syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/m
The firmness of a piece of fruit is an important indicator of fruit ripeness. The Magness-Taylor firmness was determined for one sample of 20 golden apples with a shelf life of zero days, resulting in a sample mean of 8.74 and sample standard deviation of
Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). The article “A Gap Detection Tactility Test for Sensory Deficits Associated with Carpal Tunnels Syndrome” (Er
Analysis of a random sample consisting of m = 20 specimens of cold-rolled steel to determine yield strengths resulted in a sample average strength of ¯x = 29.8 ksi. A second random sample of n = 25 two-sided galvanized steel specimens gave a sample averag
Assume that the populations of androgen levels at time of injection has a normal distribution N(µ1, σ2 1 ) with unit ng/mL, and the androgen levels 30 minutes later has another normal distribution N(µ2, σ2 2 ) with unit ng/mL. Draw a 95% confidence interv
Statistic Unit 4 Test
3. A cable TV company was interested in making its operation more efficient by cutting down on the distance between service calls while still maintaining at least the same level of service quality. A treatment group of 18 repairpersons was assigned to a d
A concern to public health officials is whether a concentration of lead in the paint of older homes may have an effect on the muscular development of young children. In order to evaluate this phenomenon, a researcher exposed 90 newly born mice to paint co
Based on information from Harper’s Index, 78 out of a random sample of 100 American adults claim that they would donate a loved one’s organs after death. However, out of a random sample of 100 adult Americans, only 20 claim that they would donate their ow
The table shows the gas mileage (in miles per gallon) of eight cars with and without using a fuel additive. Your friend claims that the fuel additive improved gas mileage.
A medical researcher says that less than 25% of American adults are smokers. In a random sample of 200 adults, 28.5% say that they are smokers. At a=0.01, do you have enough evidence to reject the researcher’s claim?
Suppose that you were interested in investigating the effect of a drug that is to be used in the treatment of patients who have glaucoma in both eyes. A comparison between the mean reduction in eye pressure for this drug and for a standard treatment is de
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05
Probability of rumour
Cumulative distribution function
the method of moments
Please help with this question thank you
a Small high school has one mathematics
A friend who lives in Los Angeles makes frequent consulting trips to Washington, D.C.;
. Calculate the appropriate test statistic and interpret the result.
Which of the following are true? A. The median value for D1 is less than the median value for D3 . B. Three quarters of the data values for D2 are greater than the median value for D1 . C. At least a quarter of the data values for D3 are less than the med
According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of the time. Suppose 15 flights are randomly selected, and the number of on-time flights is recorded. Explain why this is a binomial experiment. Find and inter
Let x and y be random variables for which the joint p.d.f is as follows
A population of values has a normal distribution with μ = 134.3 and σ = 62.4 . You intend to draw a random sample of size n = 137 . What is the mean of the distribution of sample means? μ ¯ x = What is the standard deviation of the distrib
Hypothesis
Suppose a small finite population consists of only 8 numbers: 54, 55, 59, 63, 64, 68, 69, 70
According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is at most-----
The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers
Given the following sample information, test the hypothesis that the treatment means are equal at the
you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards
A normal distribution has a mean of 80 and a standard deviation of 14
Need help: Suppose P(C) =
a die will be rolled some number of times and you will win $1 if it shows an ace (1 dot) more then 20% of the time, which is better 60 or 600 rolls
A normal population has a mean of 80.0 and a standard deviation of 14.0 Question C= compute the probability of a value between 55.0 and 70.0
Need help:Use a Venn Diagram and the given information to determine the number of elements in the indicated set
A sample of 500 shoppers was selected in a large metropolitan are to determine various information concerning consumer behavior
Let a bowl contain 10 chips of the same size and shape
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 1600 miles
Which of the following is a characteristic of a binomial probability experiment
In the past, schools in Los Angeles County has closed an average of three days each year for weather emergencies
A random sample of 16 pharmacy customers showed the waiting times below (in minutes)
A problem with a telephone line that prevents that prevents a customer from receiving or making calls is disconcerting to both the customer and the telephone company
A bag contains 6 cherry, 3 orange and 2 lemon candies
The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters
what is the probability of drawing 3 clubs or a six of diamonds
The diameter of Ping-Pong balls manufactured at a large factory is expected to be approximately normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inches
A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol
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