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Suppose that a 2-year old boy named cahnce sits at a computer and types exactly 6 unique alphabet keys. What is the probability that he will type the word bayes?
A representative from a national soft drink manufacturer is responsible for conducting street interviews with randomly selected persons in a given major market. Historically, about 2 in 10 people ha
A family that owns two cars is selected at random. Let A = {the older car is American} and B = {the newer car is American}. If P(A) = 0.7, P(B) = 0.5, and P(A intersection B) = 0.4, compute the foll
The mean weight of penguins last year was 15.4 kg. In a random sample of 35 penguins, the standard deviation of the weight is 2.5 kg. If the actual mean weight is as low as 15.1 kg,
Let X be a continuous random variable with density fx(s) = k(s-6) for s ≥ 1 and fx(s) = 0 for s < 1. Determine the value of the constant k.
A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sample of 380 U.S. workers is collected in 2006 to determine whether unio
The sample mean=0.9075 and standard deviation=0.03. If the true procedure mean=0.93, how likely is it to observe the sample mean less than or equal to 0.9075? Based upon this probability, does it ap
Please help me with these thank you so much. If f(x)=c(X^2+1/2), for x=0,1,2,3, can serve as a probability distribution of the discrete random variable X, what is c?
A traffic control engineer reports that 75% of the vehicles passing through a checkpoint are from within the state. Let X be the number of vehicles from out of state of the next 10 vehicles. Then th
Let X represent the number that takes place when a green die is tossed and Y the number that occurs when a red die is tossed. What is the variance of the random variable X-2Y?
Without calculating the standard deviation, compare the standard deviation for the following three data sets. (note: All data sets have a mean of 30.)
Averaging over repeated random samples of the three bottles, what is the expected number of bottles out of three that will be less than 12 ounces?
In the year 2001, the average GPA of the college graduates was 3.1. a recent survey of 1000 students estimated an average GPA of 3.3 with the standard deviation of 3.
Make a 90% confidence interval. If the desired error of the estimation is less than 0.1% with 99% confidence, what should the sample size be?
The mean salary of female employees of one company is 29,525. The mean salary of male employees of the same company is 33,470. Can the mean salary of all employees of company be obtained by determin
A school has 3 tenth grade classes. All three classes took the same physics test. The mean score for three class were 75, 71, and 78. Can the mean score for all tenth grade students be found through
A company advertises an average of 42,000 miles for one of its tires. In the manufacturing process there is some variation around the average. Would the company want a process that provides a large
Find the following probabilities for the standard normal random variable z. a.) P(z>1.40) b.) (z< -1.25) c.) P(0.51</= 2.76) d.) P (-2.29 < z < 1.45)
In a recent study upon gender differences in education, a sample of 7 boys had a mean score of 16.0 and a standard deviation of 4.1 on a Standardized Math Test. A sample of 11 girls had a mean score
The strength of one's immune system can be evaluated in several ways. One of the most popular methods involves measuring the concentration of adenosine triphosphate (ATP) in the blood. In women, the
Using a one-sample z test, what is the z-score for this data? What is the critical value of z in the previous question? Report the critical value CLOSEST to your calculated z-score.
About 870 men took part in a study to study the effectiveness of a hormone therapy. Half of the men were selected randomly to come in and receive the hormone therapy while the other half were told t
A researcher uses a repeated-measures ANOVA to evaluate the results from a research study and reports an F-ratio with df = 2, 30.
Nominal data usually describes qualitative information. This essentially means that the information can be categorized or "named," hence the term "nominal." A common example of nominal data is gende